Precious is twice as old as Mika 2 years ago. The difference of their present age is 7. What is Precious' present age?​

Answers

Answer 1

the answer is 14

simply multiply mika age by 2

since the difference is 7

meaning that mika is seven

and twice is 14


Related Questions

Write an equation for a line passing through points (-2,3) and (3,5)

Answers

Answer:

[tex]y=\frac{2}{5}x+\frac{31}{5}[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{3-5}{-2-3}=-\frac{2}{5}[/tex].

So, the equation is:

[tex]y-5=-\frac{2}{5}(x-3) \\ \\ y-5=-\frac{2}{5}x+\frac{6}{5} \\ \\ y=\frac{2}{5}x+\frac{31}{5}[/tex]

What is 7/10 divided by 3.4

Answers

Answer: 0.20588235294 or ≈0.21

Step-by-step explanation: First, we should change the 7/10 into a fraction. (Divide numerator by the denominator) You should get .7 or 0.7. Then, when dividing, it would be 0.7 divided by 3.4 and I got 0.20588235294. I rounded it to the nearest hundredth to get ≈0.21. I hope this helped! Please, mark brainliest! (If can)

Income taxes that are withheld from employees' pay and not remitted as of the balance sheet date will constituted a ____________ to be verified by the auditors.

Answers

Income taxes that are withheld from employees' pay and not remitted as of the balance sheet date will constituted a liability to be verified by the auditors.

A tax placed on people or organizations in relation to their income or profits is known as an income tax. Tax rates multiplied by taxable income are typically used to calculate income taxes.

Tax rates might change depending on the taxpayer's attributes and source of income. As taxable income rises, the tax rate can also. Corporate tax, which is often assessed at a fixed rate, is the name given to the tax charged on businesses. Individual income is frequently subject to progressive taxation.

To learn more about tax

brainly.com/question/27961210

#SPJ4

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)

Answers

At [tex]$5 \mathrm{pm}$[/tex] the distance between the ships is changing at the speed of [tex]$\mathbf{3 0 . 2 1}$[/tex] knots

Firstly we need to an equation to represent both ships and the distance between each. A is moving [tex]$25 \mathrm{knots}$[/tex] west and [tex]$B$[/tex] is moving [tex]$17 \mathrm{knot}$[/tex] north. [tex]$D$[/tex]will be the distance between the two. Drawing it, you'll notice that it creates a right triangle.

So we use the Pythagorean Theorem:

[tex]$$D^{\wedge} 2=A^{\wedge} 2+B^{\wedge} 2$$[/tex]

Differentiate in relation to time:

[tex]$$2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt})$$[/tex]

Now we must find all of our variables.

[tex]& A=\text { time(speed })+\text { original distance }=5(25)+10=135 \\[/tex]

[tex]& B=5(17)+0=85 \\[/tex]

[tex]& D=V\left(A^{\wedge} 2+B^{\wedge} 2\right)=159.53 \\[/tex]

[tex]& d A / d t=25 \\[/tex]

[tex]& d B / d t=17[/tex]

Plug in all your variables and solve for

[tex]$(\mathrm{dD} / \mathrm{dt})$ :[/tex]

[tex]& 2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt}) \\[/tex]

[tex]& 2(159.53)(\mathrm{dD} / \mathrm{dt})=2(135)(25)+2(85)(17) \\[/tex]

[tex]& 319.061(\mathrm{dD} / \mathrm{dt})=9640 \\[/tex]

[tex]& \mathrm{dD} / \mathrm{dt}=9640 / 319.061 \\[/tex]

[tex]& \mathrm{dD} / \mathrm{dt}=30.21 \text { knots }\end{aligned}[/tex]

At [tex]$5 \mathrm{pm}$[/tex] the distance between the ships is changing at the speed of [tex]$\mathbf{3 0 . 2 1}$[/tex] knots

To know more about Pythagoras Theorem

https://brainly.com/question/343682

#SPJ4

Graph the compound inequality on the number line
x ≤-6 or x≥6

Answers

Answer:

I think like this but I not sure what format you learn

if sinθ 1÷2 and θ is in quadrant , evaluate each expression. a) sin 2θ b) cos 2θ c) tan 2θ

Answers

The values of sin 2θ, cos 2θ, and tan 2θ are:

a) sin 2θ = √(3)/2

b) cos 2θ = 1/2

c) tan 2θ = √(3)

What is a quadrant?

Generally, If sin θ = 1/2 and θ is in quadrant I, then θ is equal to 30 degrees.

To evaluate each expression, we can use the trigonometric identities:

a) sin 2θ = 2 * sin θ * cos θ

= 2 * (1/2) * (√(3)/2)

= √(3)/2

b) cos 2θ = cos^2 θ - sin^2 θ

= (√(3)/2)^2 - (1/2)^2

= (3-1)/4 = 1/2

c) tan 2θ = (2 * tan θ) / (1 - tan^2 θ)

= (2 * (√(3)/3)) / (1 - (√(3)/3)^2)

= 2 * √(3) / (4 - 3)

= √(3)

Read more about quadrant

https://brainly.com/question/29298581

#SPJ1

The approximate length of side XY is
units
The approximate length of side YZ
units.
The approximate length of side ZX is
v units.
The approximate perimeter of triangle XYZ is
units

Answers

please mark me brainlieset and click the stars i spent so long on this :>

Answer:

ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ  = 14√5 units

Step-by-step explanation:

1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle, the length of this altitude would be: 3 units

2. The length of ZX can be determined through Pythagorean Theorem. If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW. ZW clearly = 3, thus ZX^2 = 3^2 + 3^2 = 18, and ZX =  √18 units = 3√2.

3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW. Knowing XW to have a length of 3 units, and YW to have length of 1 unit ⇒ XY^2 = XW^2 + YW^2 = 3^2 + 1^2, and XY = √10.

4. YZ is visualized to have a length of 4 units.

5. Knowing that ZX = 3√2, XY =√10, and YZ = 4 ⇒ Perimeter of ΔXYZ = ZX + XY + YZ = 3√2 + √10 + 4 = 14√5 units. To simplify this, it would be that the Perimeter of ΔXYZ  = 14√5 units

ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ  = 14√5 units

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle,

the length of this altitude would be: 3 units

2. The length of ZX can be determined through Pythagorean Theorem.

If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW.

ZW clearly = 3,

thus

[tex]ZX^2 = 3^2 + 3^2 = 18[/tex],

and ZX =  √18 units = 3√2.

3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW.

Knowing XW to have a length of 3 units, and YW to have a length of 1 unit [tex]= > XY^2 = XW^2 + YW^2 \\= > 3^2 + 1^2[/tex],

and XY = √10.

4. YZ is visualized to have a length of 4 units.

5. Knowing that

ZX = 3√2, XY =√10, and YZ = 4

⇒ Perimeter of ΔXYZ = ZX + XY + YZ

⇒ Perimeter of ΔXYZ = 3√2 + √10 + 4

⇒ Perimeter of ΔXYZ = 14√5 units.

To simplify this, it would be that the Perimeter of ΔXYZ  = 14√5 units

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ5

Select the postulate that confirms each statement.
a. Angles GFH and are supplementary angles.
Linear Pair Postulate
Segment Addition Postulate
Vertical Angle Postulate
Angle Addition Postulate

Answers

The correct postulate is the Linear Pair postulate. It can be find out by the concept of supplementary angles.

What is supplementary angles?

Two angles are said to be supplementary if their sums total 180 degrees.

Linear Pair postulate: When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Segment Addition Postulate: According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC. This option is not correct.

Vertical Angles: When two lines intersect each other then the angles made on the opposite sides of the intersection point is known as vertical angles and they give equal measurment. This option is not correct.

Addition Postulate states: The measure of an angle formed by two angles side by side is the sum of the measures of the two angles. This option is not correct.

Hence, the correction postulate is the Linear Pair postulate. It can be find out by the concept of supplementary angles.

Learn more about supplementary angles from the following link:

https://brainly.com/question/404323

#SPJ4

How do you write 5 as a fraction??


Ples answer quick its grading day

Answers

Answer:

5/1

Step-by-step explanation:

I think?

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour slower than the westbound train. If the two trains are 320 miles apart after 2 hours, what is the rate of the eastbound train?

Answers

Answer:

71 mph

Step-by-step explanation:

Lets call the speed of the eastbound train E and the speed of the westbound train W.

E = W - 18

distance travelled  = speed * time

thus

Wt + Et = 320

Wt + (W - 18)t = 320

factor out t

t * (2W - 18) = 320

t = 2 hours

2 * (2W - 18) = 320

2W - 18 = 160

2W = 178

W = 89

Then, E = (89) - 18 = 71 mph

The Chess Club wants to raise a total of $150 for a group trip.
They earn $1.25 for each box of pies they sell. They have
already made $16.25. Which equation could be used to find
how many more boxes of pies they must sell?

Answers

Answer:

Step-by-step explanation:

The number of boxes of pies that the Chess Club must sell to reach their goal of $150 can be represented by the variable x. We can create the following equation to represent this relationship:

1.25x + 16.25 = 150

To find the number of boxes of pies that the Chess Club must sell, we can solve this equation by subtracting 16.25 from both sides and then dividing both sides by 1.25:

1.25x = 150 - 16.25

1.25x = 133.75

x = 133.75 / 1.25

x = 107.

Therefore, the Chess Club must sell 107 more boxes of pies to reach their goal of $150.

ABCD is a square with four congruent sides and four congruent angles. triangle BAD is congruent to

Answers

ΔBAD is congruent to ΔBCD by the ASA rule.

What is the ASA congruency of triangles?

If any two angles and sides included between the angles of one triangle are equivalent to the corresponding two angles and sides included between the angles of the second triangle, then the two triangles are said to be congruent by the ASA rule.

In the given figure ABCD is a square.

In ΔBAD and ΔBCD

∠B ≅ ∠B ----Common Angle

∠A ≅ ∠A  ------Each of 90° angle

Side BD ≅ Side BD ----Common Side

So we can say that ΔBAD ≅ ΔBCD -----(ASA rule)

Hence, ΔBAD is congruent to ΔBCD by the ASA rule.

To learn more about ASA congruency of triangles, visit:

https://brainly.com/question/82493

#SPJ1

A train travels for 3.75 hours at 80 miles an hour. Use the formula d = r. t, where
d = distance, r = rate, and t = time, to find the distance the train traveled.
The distance traveled is
miles.
The solution is

Answers

Distance travelled is 300 miles

What is distance ?

The total movement of an object, independent of direction, is its distance. The amount of space that an object has traveled, regardless of where it started or ended, is referred to as distance.

According to the given information

You know the equation: D = r × t.

where D represents the distance traveled, r is the train's speed, and t denotes the amount of time (in hours) required.

Train travels for 3.75 hours at 80 miles per hour

By putting the values in the above equation

D = 80 miles in 3.75 hours per hour

  = 80 × 3.75

  = 300 miles

Distance travelled is 300 miles

To know more about speed

https://brainly.com/question/22610586

#SPJ1

suppose a researcher finds that the p-value of a test statistics is 0.08. which of the following significance levels gives you a chance of finding a statistically significant result? -0,01 -0,001 -0,1 -0,05

Answers

the best chance of finding a statistically significant result would be 0.1. This is because the p-value of 0.08 is less than the significance level of 0.1, but greater than the significance levels of 0.01, 0.001, and 0.05

The p-value of a test statistic is a measure of the probability of obtaining a result that is at least as extreme as the one observed, given that the null hypothesis is true. In other words, it is a measure of the strength of the evidence against the null hypothesis.

If the p-value of a test statistic is 0.08, it means that there is an 8% chance of obtaining a result at least as extreme as the one observed, given that the null hypothesis is true. This does not necessarily mean that the result is statistically significant at any particular significance level.

To determine whether a result is statistically significant, you need to compare the p-value to a predetermined significance level, also known as the alpha level. The alpha level is the probability of rejecting the null hypothesis when it is actually true (also known as a type I error).

If the p-value is less than the alpha level, then the result is considered statistically significant. For example, if the alpha level is set at 0.05, and the p-value of the test statistic is 0.03, then the result would be considered statistically significant.

In the case of the options you provided, the significance level that gives you the best chance of finding a statistically significant result would be 0.1. This is because the p-value of 0.08 is less than the significance level of 0.1, but greater than the significance levels of 0.01, 0.001, and 0.05.

Read more about this on brainly.com/question/29103336

#SPJ4

Martin will receive a pay raise of 6%. He currently makes $30 per hour. What will be his new hourly rate?

Answers

Answer:

New hourly rate is $31.8

-------------------

GivenCurrent rate is $30,Pay raise is 6%,

Solution

New rate is:

$30 + 6% = $30 + $30*6/100 =$30 + $1.8 = $31.8

Which expression is equivalent to √80
4√2·√5
√2⁴.√5
√2.√2.√5
√2².√2².√5²

Answers

As we can solve the square root 80 or [tex]\sqrt{80\\}[/tex] = [tex]\sqrt{2^4}.\sqrt{5}[/tex]

so [tex]\sqrt{2^4}.\sqrt{5}[/tex] is the correct answer for square root 80

What is Square root?

The component of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 32 or 3 3. We refer to this as a square since there is a 2 exponent. When the exponent is now 1/2, the square root of the integer is being discussed. For instance, when n is a positive integer, n = n1/2

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolised by the character "." The number behind the square root sign is referred to as the radicand, whereas the square root symbol itself is known as a radical.

1)

[tex]\sqrt[4]{2} .\sqrt{5}[/tex] =[tex]2^{\frac{1}{4} } .\sqrt{5}[/tex]

which is not equal to [tex]\sqrt{80\\}[/tex]

2)

[tex]\sqrt{2^4}.\sqrt{5}[/tex] = [tex]2^{4.\frac{1}{2} } .\sqrt{5}[/tex]

=[tex]4\sqrt{5}[/tex] or[tex]\sqrt{16 * 5} =\sqrt{80}[/tex]

3)

[tex]\sqrt{2}. \sqrt{2}. \sqrt{5} =2\sqrt{5}[/tex]

which is not equal to [tex]\sqrt{80\\}[/tex]

4)

[tex]\sqrt{2^{2} } .\sqrt{2^{2} } .\sqrt{5^{2} } = 2.2.5 \\\\\4.5 = 20[/tex]

which is not equal to [tex]\sqrt{80\\}[/tex]

Learn more about square root from the link below

https://brainly.com/question/3120622

#SPJ4

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
h(p) =
p − 4 /
p^2 + 5

Answers

The critical points of the given function are p = 2 ± √13.

What are functions?

A relation between a collection of inputs and outputs is known as a function.

A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain.

Critical function:

The key points are locations inside the function's domain where the function's nature changes.

The function stops increasing or decreasing at these places.

The function is: [tex]h(p)=\frac{p-2}{p^2+9}[/tex]

The derivative test will be applied here:

[tex]\begin{aligned}& \therefore h^{\prime}(p)=0 \\& \Rightarrow \frac{d}{d p}\left(\frac{p-2}{p^2+9}\right)=0 \\& \Rightarrow \frac{\frac{d}{d p}(p-2)\left(p^2+9\right)-\frac{d}{d p}\left(p^2+9\right)(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{1 \cdot\left(p^2+9\right)-2 p(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{-p^2+4 p+9}{\left(p^2+9\right)^2}=0 \\& \Rightarrow-p^2+4 p+9=0\end{aligned}[/tex]

Then,

[tex]\begin{aligned}& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{4^2-4(-1) 9}}{2(-1)} \\& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{52}}{-2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm \sqrt{52}}{2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm 2 \sqrt{13}}{2} \\& \Rightarrow p_{1,2}=2 \pm \sqrt{13}\end{aligned}[/tex]

Therefore, the critical points of the given function are p = 2 ± √13.

Know more about functions here:

https://brainly.com/question/29523308

#SPJ4

PLS HEEEEEEELP For 100 Points!!!!

Ana was washing dishes at the end of her shift at a restaurant. She washed 40 plates from 7:20 to 7:30.
When she finishes washing all the plates, her shift will end.
(a) If she started washing plates at 7:10 and ended at 7:35, estimate how many plates she washed in
total. Explain your reasoning.
(b) Write an equation to represent how many plates Ana has left to wash at a particular time after her
start at 7:10. Explain your reasoning.

Answers

Answer:

If Ana started at 7:20, ended at 7:38, and she washes 6 dishes per minute, than she has 108 dishes left to wash.

Step-by-step explanation:

Answer:

Step-by-step explanation:Answer: 138 plates are to be washed by her if she started at 7:15 and ends at 7:38, and the function will be f(x)=6x.

Step-by-step explanation:

Since we have given that

She washed 30 plates from 7:30 to 7:35,

That means in 5 minutes, the number of plates get washed here = 30

We need to find the number of plates from 7:15 to 7:38

First, we count the number of minutes

In 1 minute, the number of plates gets washed by her is given by

In 23 minutes, the number of plates gets washed by her is given by

The equation to represent how many plates Ana has left to wash at a particular time after her start at 7:15  is given by

Hence, 138 plates are to be washed by her if she started at 7:15 and ends at 7:38, and the function will be f(x)=6x.

4. Classify the system as independent, dependent, or inconsistent.
-3x + y = 4
x-1/3y = 1

Answers

The system of equation is dependent because both equation has same slope.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given a system of equation as;

-3x + y = 4

x-1/3y = 1

Therefore, we need to write as straight line equation.

-3x + y = 4

y = 3x + 4

Thus, the slope is 3 and the y intercept is 4

Now x-1/3y = 1

x= 1 + 1/3y

y = 3x - 3

Thus, the slope is 3 and the y intercept is -3

The system of equation is dependent.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

. If F F G H text is a rhombus, find each missing value
J G=
F J=
m ∠ E F H=
m ∠H G E=

2. If J K Z If is a square, find each missing value
J L=
M A=
m ∠ R N L=
R∠ M E U=

Answers

The value of JG = 24,

                      FJ = 7,

                     ∠EFH = 74°,

                     ∠HGE = 16°

What are the properties of a diagonal of rhombus?

In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus. The sum of two adjacent angles is equal to 180 degrees. You will get a rectangle when you join the midpoint of the sides.

Solution:

Given :

EJ = 24

∴ GJ = 24

∠FHG = 74°

∴ ∠EFH = 74° by alternate angle properties

Now, we know

FG² =FJ² + GJ² - 2FJ × GJ × cos(90) ------ diagonals of the rhombus are perpendicular to each other

Substitute FG = 25, GJ = 24, we get

25² = FJ² + 24² - 2FJ × GJ × cos(90)

FJ² = 49

∴FJ = 7

180 =∠GHJ  +∠HGJ + ∠GJH ------ sum of all angles of a triangle is 180°

∴ ∠HGE = ∠HGJ = 180 - 90 - 74

∴ ∠HGE = 16°

To learn more about properties of a rhombus click on the link below:

https://brainly.com/question/12189679

#SPJ4

2. The value of JL = 14

                         ML = 7√2

                         ∠KNL = 90°

                          ∠MKJ = 45°

What are the properties of diagonals of a square?

The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other. The diagonal of the square divide it into two similar isosceles triangles.

Solution:

Given; NM = 7

We know that diagonals of the square are equal

∴ NM = NL = NK = NJ = 7

∵ JL = JN + NL

∴ JL = 7 + 7

∴JL = 14

∠KNL = 90° ----- as we know that diagonals bisect each other at 90°

For ∠MKJ

we know that KM = KN + NM = 14

KJ = JM = 7√2------- property of isosceles triangle

∠KJM = 90° ----- all angles of square are 90°

We know that diagonals of a square dissects the square into two equal isosceles triangle.

∴ ∠MKJ = JMK = ∠KJM/2

∴ ∠MKJ = 90/2

∴ ∠MKJ = 45°

To learn more about Diagonals of Square visit:

https://brainly.in/question/22079195

#SPJ4

                         

The value of JG = 24 ,   FJ = 7,   ∠EFH = 74°,   ∠HGE = 16°

What are the properties of a diagonal of rhombus?

In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus. The sum of two adjacent angles is equal to 180 degrees. You will get a rectangle when you join the midpoint of the sides.

Given :

EJ = 24

∴ GJ = 24

∠FHG = 74°

∴ ∠EFH = 74° by alternate angle properties

Now, we know

FG² =FJ² + GJ² - 2FJ × GJ × cos(90) ------ diagonals of the rhombus are perpendicular to each other

Substitute FG = 25, GJ = 24, we get

25² = FJ² + 24² - 2FJ × GJ × cos(90)

FJ² = 49

∴FJ = 7

180 =∠GHJ  +∠HGJ + ∠GJH ------ sum of all angles of a triangle is 180°

∴ ∠HGE = ∠HGJ = 180 - 90 - 74

∴ ∠HGE = 16°

To learn more about properties of a rhombus :

brainly.com/question/12189679

2. The value of JL = 14

              ML = 7√2

                        ∠KNL = 90°

                         ∠MKJ = 45°

What are the properties of diagonals of a square?

The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other. The diagonal of the square divide it into two similar isosceles triangles.

Given; NM = 7

We know that diagonals of the square are equal

∴ NM = NL = NK = NJ = 7

∵ JL = JN + NL

∴ JL = 7 + 7

∴JL = 14

∠KNL = 90° ----- as we know that diagonals bisect each other at 90°

For ∠MKJ

we know that KM = KN + NM = 14

KJ = JM = 7√2------- property of isosceles triangle

∠KJM = 90° ----- all angles of square are 90°

We know that diagonals of a square dissects the square into two equal isosceles triangle.

∴ ∠MKJ = JMK = ∠KJM/2

∴ ∠MKJ = 90/2

∴ ∠MKJ = 45°

To learn more about Diagonals of Square :

brainly.com/question/25125518

#SPJ4

An arch has the shape of a semi-ellipse (the top half of an ellipse). The arch has a height of 6 feet and a span of 22 feet. Find an equation for the ellipse. (Assume a center at (0, 0)). Use the equation to find the height of the arch at a distance of 3 feet from the center. (Round your answer to two decimal places.)

Answers

The equation of ellipse is [tex]\frac{x^2}{11^2} + \frac{y^2}{6^2} = 1[/tex] and height of arch is 5.77 feet

Assume that the center of the ellipse is at the origin.

So,  The general equation for an ellipse is:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Where:

x is Horizontal distance, in feet.

y is Vertical distance, in feet.

a is Horizontal semiaxis length (half-width), in feet.

and b is Vertical semiaxis length (height), in feet.

According to the question,

x = 3 , a = 11 and b = 6

Putting all the values ,

So , the equation of ellipse will be

[tex]\frac{x^2}{11^2} + \frac{y^2}{6^2} = 1[/tex]

Putting x = 3,

[tex]\frac{3^2}{11^2} + \frac{y^2}{6^2} = 1[/tex]

Solving for y,

[tex]\frac{y^2}{36} = 1 - \frac{9}{121}[/tex]

=> [tex]y^2 = \frac{(121 - 9)36}{121}[/tex]

=> y² = 4032 / 121

=> y = √33.32

=> y = 5.77 feet

To know more about Ellipse here

https://brainly.com/question/14281133

#SPJ4

Emma needs to order liquid fertilizer for her landscaping company. She plans to keep the fertilizer in a large cylindrical storage tank, but isn’t sure how much it will hold. The tank is 10 feet tall and the circular base has a radius of 5 feet. What is the volume of her storage tank?

Answers

It is to be noted that the volume of Emma's storage tank is: 785.3cubic feet.

What is the rationale for the above calculation?

Start by calculating the area of the base of the storage tank. The area of a circle is calculated by: A = π*r², where r is the radius of the circle.

Where:

π = 22/7

r = radius of the circular base

Recall that for Emma’s cylindrical storage tank, the radius of the base is 5 feet.

So we replace this value in the formula and calculate the area of the base, which is equal to:

A = π*5²

A = 22/7 * 5²

= 78.5714285714

[tex]\approx[/tex] 78.54 square feet.

Now we need to compute the volume of the cylindrical storage tank. The volume of a cylinder is calculated by:

V = π*r²*h,

where r is the radius of the circle and h is the height of the cylinder.

Recall that for Emma’s tank, the height is 10 feet. Hence,

We substitute these values in the formula and calculate the volume, which is equal to:

V = π*5²*10 = 785.4 cubic feet.

Therefore, Emma’s cylindrical storage tank has a capacity of 785.4 cubic feet.

Learn more about volume:
https://brainly.com/question/13338592
#SPJ1

A small box measures 6in by 11in by 13 in high. Find the volume of the box.

Answers

The volume of the box is 858 cube inches.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has 6 faces, 8 vertices, and 12 edges. It is one of the most commonly seen shapes around us which has three dimensions: length, width, and height

length of box = 13 inches

Width of box = 11 inches

height of box = 6 inches

Volume of cuboid = length x width x height

volume of cuboid = 13 x 11 x 6 which is 858 cube inches

In conclusion the volume of the box is 858 cube inches

Learn more about cuboid: https://brainly.com/question/26403859

#SPJ1

Solve
3 x+10=14 y
8 x-7 y=34

Answers

Answer:

x = 6, y = 2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Answers

Answer: b. The radius is the same as a cylinder with a volume of 500(3) and the same height.

Step-by-step explanation:

The volume of a cylinder is 3 times that of a cone (assuming they have the same perpendicular height and radius).

Write an equation of the line that passes through the given points.
(−7,0),(−7,5)

Answers

The given points form an equation for a line that has a value of 14.

How do you determine the equation of a line that goes through two points?Utilize the slope formula to determine the slope. To determine the y-intercept, use the slope and one of the points (b). Once you are aware of the values for m and b, you can enter these values into the slope-intercept form of a line (y = mx + b) to obtain the equation for the line.The equation that depicts the line that crosses the coordinates (-7 , 0) and   (-7, 5).A line's equation is y=mx+c. Since you have two points, you may use the formula m=y2y1x2x1 to determine the slope.

Explanation:

m =( -5 - -7)(0 - -7)

   = 2*7

   = 14.

To learn more about Slope refer to:

https://brainly.com/question/16949303

#SPJ1

PLS HURRY A recipe calls for 6 ounces of raisins. How many milligrams of raisins is this? (1 ounce = 28.35 grams and 1 gram = 1,000 milligrams)

170.1 milligrams
1,701 milligrams
17,010 milligrams
170,100 milligrams

Answers

Answer:

170,100 milligrams

Step-by-step explanation:

1 ounce = 28.35 grams

6 ounces = ?

6*28.35 = 171.10 grams

1 gram - 1000 milligrams

171.10 grams = ?

171.10*1000 =

171,100 milligrams

Answer:

A recipe calls for 170,100 milligrams of raisins.

Step-by-step explanation:

I took the exam and got it right

Question 1(Multiple Choice Worth 1 points)
(05 04 LC)
A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows
First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9,2,4,3,0
Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1,0, 2, 1, 3.
Which is the best measure of center for first period, and why?
O Mean, because there are no outliers that affect the center
O Median, because there is one outier that affects the center
O
Interquartile range, because there is one outier that affects the center
O Standard deviation, because there are no outliers that affect the center

Answers

Answer:uu

Step-by-step explanation:

pls solve before friday

Answers

The result of the given mathematical expression is 8459.46

What is Mathematical expression and decimal

Mathematical expression consist of combination of numbers along with addition, subtraction, multiplication and division.

Decimal numbers are those numbers which have an integer part and a fractional part.

Decimal can be terminating as well as non terminating.

Terminating decimals are those numbers which have finite number of digits after decimal point.

Non terminating decimals are those numbers which have infinite number of digits after decimal point.

Mathematical expression to be solved

[tex]31520 \times 0.029 \times \frac{(1+0.029)^4}{(1+0.029)^4-1}[/tex]

Decimal number is present in the above expression.

The given expression is to be simplified to get a solution

Now,

[tex]31520 \times 0.029 \times \frac{(1+0.029)^4}{(1+0.029)^4-1}\\\\31520 \times 0.029 \times \frac{(1.029)^4}{(1.029)^4-1}\\\\31520 \times 0.029 \times \frac{1.1211442633}{0.1211442633}[/tex]

8459.46

To learn more about mathematical expression, refer to the link-

https://brainly.com/question/1852123

#SPJ1

HELP?!!? You’ve been hired to help a car company with analyzing sale trends to help them with figuring out what direction development of new products should go. Due to rising fuel costs the industry is seeing a rise in people purchasing compact cars, but the kind of features and thus price people are targeting is less clear.
Based on your initial analysis the average cost of a compact car over the last 10 years has ranged from $12,000 to $28,000. Your job is to assist your team with plotting this data on a graph to help your team with visualizing potential trends in the data. The years will be on the x-axis and the cost will be on the y-axis.
(a) What is a good maximum and minimum value along the y-axis that would be a good fit for your data on this graph? Explain your reasoning.
(b) What is a good distance between the marks along the y-axis on the graph to ensure that you have appropriate resolution for your data set? Explain your reasoning. Too few means you can’t reasonably read the data, too many will make your graph too cluttered.
(c) What is a good maximum and minimum value along the x-axis which would be a good fit for your data on this graph? Explain your reasoning.
(d) What is a good distance between the marks along the x-axis on the graph to ensure that you have appropriate resolution for your data set? Explain your reasoning. Too few means you can’t reasonably read the data, too many will make your graph too cluttered.

Answers

183844.ii887777777788
Other Questions
Graph the equation-5y=-6x+15A.linearB.quadratic C.exponentialD.absolute value the length of human pregnancies from conception to birth varies according to a distribution that is:_______. Researchers have discovered brain neurons that fire when a person performs a tast or when another person is observed performing the same task. Which of the following methods are used to create free-machining metals (in order to reduce the friction generated during cutting)? (Select all that apply) This application endpoint-protection rule implicitly denies unless added to the rule. Which of the following processes describes this? politcial causes of civil war the bush administrations ""global war on terror"" and the war in iraq were expressions of:_____. A customer/member is looking for a particular brand of cold medicine and can't find it in the health and wellness area. He approaches you for help.explain where he can find the medicine. Offer to walk him there if he would like some help. Radiation Exposure from Dental X-rays Dental X-rays expose patients to about 5.00 Sv of radiation. 4th attempt Part 1 (I point) Feedback Given an RBE of 1.00 for X-rays, how many micrograys of radiation does 5.00 Sv represent? to study problems concerned with the motion of matter under the influence of forces, i.e., dynamics, it is necessary to locate a point called what intermediary is typically used to establish trust during an international trade transaction? Fred is playing tennis. For every 2 of his serves that land in, 3 serves land out. If he hit 22 serves in, how many serves landed out? According to holmes & rahes social readjustment rating scale, what is responsible for stress? the atomic mass and abundance of Si-28 is 27.977 amu and 92.2%. The atomic mass and abundance of Si-29 is 28.976 amu and 4.7%. The atomic mass and abundance of Si-30 is 29.974 amu and 3.1%. which is the average atomic mass of silicon? PLEASE HELPPPP brainiest answer will be marked. 2) AABC and ADEF are shown below. Them/A=51and m/F =39. Is AABC~ADEF?Fill in the blanks with words from theword bank then read it to see if itsounds correct.the triangles arebecause all anglesand the sides areWord bank: yes, no, maybe, parallel,vertical angles, corresponding,complimentary, congruent, right angles,similar, proportional. 14. Sam bought 30 pounds of produce to feed his hippo. Bananas cost $1 per pound; guavas cost $2 per pound; and kiwi costs $3 per pound. Sam spent $46. The bananas weigh twice the weight of the guavas and kiwi combined. Which system can be used to find how many pounds of each fruit Sam bought? the timing of a mutation during development has negligible effects on the severity of the genetic defect. State True or False your answer: a. Trueb. False Suppose 41% of the registered voters in a country are Republican. If a sample of 488 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 44%? After studying people from 50 different cultures, researchers have concluded that the big five personality traits.