Find the value of X. If ur answer is not an integer

Find The Value Of X. If Ur Answer Is Not An Integer

Answers

Answer 1

Answer: x = (5√2)/2

The last option

Explanation:

The given triangle is a right triangle. Taking angle 45 as the reference angle,

hypotenuse = 5

opposite side = x

We would find x by applying the sine trigonometric ratio which is expressed as

sin θ = opposite side/hypotenuse

By substituting the given values into the equation,

sin45 = x/5

Recall,

[tex]sin45\text{ = }\frac{\sqrt{2}}{2}[/tex]

Thus,

[tex]\begin{gathered} \frac{\sqrt{2}}{2}\text{ = }\frac{x}{5} \\ By\text{ crossmultiplying,} \\ x\text{ = }\frac{5\sqrt{2}}{2} \end{gathered}[/tex]

x = (5√2)/2

The last option


Related Questions

A scientist mixes water (containing no salt) with a solution that contains 15% salt. She wants to obtain 105 ounces of a mixture that is 5% salt. How many ounces of water and how many ounces of the 15% salt solution should she use?

Answers

Let's call X the ounces of water and Y the ounces of the salt solution.

Of she

Which answers choice correctly illustrates the quotient as a fraction A) 913 ÷ 29 = 31 14/29B) 852 ÷ 16 = 53 5/16C) 200 ÷ 46 = 4 8/25D) 852 ÷ 16 = 53.25

Answers

Using long division:

So:

[tex]\begin{gathered} \frac{913}{29}=_{\text{ }}Quotient\frac{remainder}{_{\text{ }}divisor} \\ so\colon \\ \frac{913}{29}=31\frac{14}{29} \end{gathered}[/tex]

Answer:

A

Find the surface area of each figure. Round your answers to the nearest hundredth. DO
NOT leave in terms of pi.

Answers

The surface area of the figure is calculated as 150.72 [tex]mi^2[/tex] and when rounded off to the nearest hundredth, it comes out as 151 [tex]mi^2[/tex].

What is Surface area?

A solid object's surface area can be stated as a measurement of the overall space that the object's surface takes up. As an alternate, surface area can also be described as the area of the entire outer part, or which is said as the uppermost layer of any kind of 3D object.

Square units are used in the calculation. The total area of all the outside surfaces makes up the surface area of a three-dimensional object, which is also expressed in square units.

As an example, we can take that in order to find the exact surface area of a cuboid, we have to add the areas of all 6 faces.

In this figure, we can see that it can be stated as a cylinder.

So, as we know the formula of the surface area of a cylinder can be written as:

2[tex]\pi[/tex]rh + 2[tex]\pi r^2[/tex]

Here r = 8/2

=4 mi

h = 2 mi

Thus, putting the values, we have,

Surface area = [2 x 3.14 x 4 x 2] + [2 x 3.14 x 4 x 4]

= 50.24 + 100.48

= 150.72  [tex]mi^2[/tex]

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Determine the equation of the line that passes through the points (0,−10) and (−8,1).

Answers

Solution:

Given the points below;

[tex]\left(0,−10\right)\text{ }and\text{ }(−8,1)[/tex]

To find the equation of the line that passes through the points, we will apply the formula below

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where

[tex]\begin{gathered} (x_1,y_1)=(0,-10) \\ (x_2,y_2)=(-8,1) \end{gathered}[/tex]

Substitute the values of the coordinates into the formula above

[tex]\begin{gathered} \frac{y-(-10)}{x-0}=\frac{1-(-10)}{-8-0} \\ \frac{y+10}{x}=\frac{1+10}{-8} \\ \frac{y+10}{x}=-\frac{11}{8} \\ Crossmultiply \\ 8(y+10)=-11(x) \\ 8y+80=-11x \\ 11x+8y+80=0 \end{gathered}[/tex]

Hence, the equation of the line is

[tex]11x+8y+80=0[/tex]

The graph is shown below with the points indicated using a graphing tool

Question
Which expression is equivalent to -40(4) +2³?

Answers

The expression equivalent to -40(4) +2³ is -152 by the concept of BODMAS Rule.

What is equivalent expression?

It is generally understood that two things are equivalent if they are the same. Similar to this, analogous mathematical expressions are those that are the same even if they appear to be different. However, when the values are plugged into the expression, both expressions provide the same outcome.

What is BODMAS rule?

BODMAS is formally known as Brackets (Numbers inside the Bracket always comes first)

Priority for brackets is Orders in a bar (the power)

Division

Multiplication

Addition

Subtraction

To solve the above expression, follow the above order

-40(4) +2³ = -160+8 = -152

Therefore, the expression equivalent to -40(4) +2³ is -152.

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how to solve a sequence

Answers

For the first sequence

Let a1 = 2

2, 9, 16, 23, ...

Recursive Formula

[tex]a_n=a_{n-1}+7[/tex]

Explicit Formula

[tex]a_n=2+7(n-1)[/tex]

For the second sequence

Let a1 = 2

2, 14, 98, 686, ...

Recursive Formula

[tex]a_n=7(a_n-1)[/tex]

Explicit Formula

[tex]a_n=2\cdot7^{n-1}[/tex]

triangle ABC has a>b>c. if one of the angles in the triangle is 60 degrees, name the angle that can be equal to 90degrees

Answers

Answer:

Angle a

Step-by-step explanation:

the sum of the interior angles of a triangle is 180.  If one angle is 60 and another angle is 90, then the third angle has to be 30.

60 + 90 + 30 = 180

90>60>30

The local grocery store is having a sale on sports drinks. For a particular brand ofsports drink, a 12-pack of 16-ounce bottles costs $10. 76. What is the unit price(per ounce) for the sports drink? Round your answer to the nearest cent.

Answers

The 12-pack contains bottles of 16 ounces each.

The total content of sports drinks is 12 × 16 = 192 ounces.

The unit price per ounce is the ratio of the total price to the total contents:

[tex]p=\frac{10.76}{192}=0.06[/tex]

The unit price per ounce is $0.06

please hurry. I need help on all three questions. please show working clearly.

Answers

I do not know the answer to the 3rd question

If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142 find BOC

Answers

The angle BOC has a measure of 50 degrees

How to evaluate the measure of the angle?

From the question, the given parameters about the angles are:

OA-OB-OCAOB = 9x + 20BOC = 7x - 6AOC = 142

The above parameters implies that

AOC = AOB + BOC

Next, we substitute the angle measurements in the above equation

So, we have

142 = 9x + 20 + 7x - 6

Evaluate the like terms

So, we have the following equation

142 = 16x + 14

Evaluate the like terms again

So, we have the following equation

16x = 128

Divide both sides by 16

x = 8

Substitute x = 8 in BOC = 7x - 6

BOC = 7 x 8 - 6

Evaluate

BOC = 50

Hence, the measure of the angle is 50 degrees

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The angle BOC has a measure of 50 degrees

What is Angle?

An angle is formed when two straight lines or rays meet at a common endpoint

If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142

We need to find BOC

We have AOC = AOB + BOC

142=9x + 20+7x-6

142=16x+14

Subtract 14 from both sides

142-14=16x

128=16x

Divide both sides by 16.

8=x

Now put x value in BOC = 7x - 6

BOC = 7x - 6

=7(8)-6

=56-6

BOC=50

Hence If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142 then BOC=50.

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Which number is enquivalent to 6/10

Answers

We have the fraction 6/10

For finding the equivalent number, we divide 6 by 10:

6 / 10 = 0.6

0.6 is the equivalent number

We have 6 in the numerator and 10 in the denominator, if we calculate any mathematical operation to both, we will find the equivalent fractions.

Let's see two examples:

1. Let's divide by 2:

6 divided by 2 is 3; and 10 divided by 2 is 5. Then our new equivalent fraction is

[tex]\frac{3}{5}[/tex]

2. Let's multiply by 3:

6 multiplied by 3 is 18; 10 multiplied by 3 is 30. Then a second equivalent fraction is:

[tex]\frac{18}{30}[/tex]

We can calculate additional equivalent fractions, using the same operation for both: numerator and denominator.

For calculating the equivalent fraction in hundreds, we will use the initial decimal equivalent we calculated at the beginning: 0.6

0.6 = 6/10 and we multiply it by 10 numerator and denominator

6 * 10 = 60 and 10 * 10 = 100. Then the fraction is 60/100

20 divided by 10 is 2 and 100 divided by 10 is 10, so the equivalent fraction is 2/10

This case is exactly the same than the previous we solved:

?/10 = 120/100

As you can see the first fraction is notated in tens and the second is notated in hundreds. Therefore, if you divide 120 between 10, what is the result?

What is a(b(x)) if a(x) = 3x 2 and g(x) = -3x + 1?

Answers

The equivalent composite function of the given one is expressed as; -9x + 5

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output. Composite functions are also known as function of a function.

Given the following functions as;

a(x) = 3x+2 and

b(x) = -3x + 1

To determine the value of a(b(x));

a(b(x)) = a(-3x+1)

a(b(x)) = 3(-3x+1) + 2

a(b(x)) = -9x + 3 + 2

a(b(x)) = -9x + 5

Therefore, This gives the equivalent composite function of the given one.

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Decide
{(8,0), (5,7), (9,3), (3,8)}
if each relation is a function.

Answers

Since each input value (domain) leads to only one output value, therefore each relation classifies as a function.

An ordered pair set is known as a relation. Each ordered pair's collection of first components is known as the domain, and its set of second components is known as the range.

A function (f) is a relation that gives each value in the domain a single value from the range.

Its given that - (8,0), (5,7), (9,3), (3,8)

Mapping:

Domain    Range

8          →        0

5          →         7

9          →         3

3          →         8

In other words, classify the relationship as a function if each input value (domain) results in just one output value. Do not classify the connection as a function if any domain produces two or more outputs.

As a result, the relationship given is a function.

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Aisha and her children went into a bakery and will buy cupcakes and brownies. Each cupcake costs $3 and each brownie costs $2.25. Aisha has a total of $15 to spend on cupcakes and brownies. Write an inequality that would represent the possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b.

Answers

The inequality equation is 3c + 2.25b <=15 which represents the possible values of cupcakes and brownies that can be purchased by Aisha with the given amount of money.

Cost of each cupcake = $3

Cost of each brownie = $2.25

Total money available with Aisha to spend on cupcakes and brownies = $15

Let c represent the number of cupcakes purchased by Aisha and b represent the number of brownies purchased by Aisha

Formulating the inequality equation we get the following:

Cost of each cupcake*Number of cupcakes purchased + Cost of each brownie*Number of brownies purchased <= Total money available with Aisha

3c + 2.25b <=15

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What’s the slope I need help

Answers

Answer:

  -8/3

Step-by-step explanation:

You want the slope of the line shown in the graph.

Slope from point coordinates

Whether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.

It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -4)/(4 -1) = -8/3

The slope of the line is -8/3.

Counting grid squares

The slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.

  rise/run = -8/3 = slope of the line

parallelogram ABCD is below. m < D = 130° and m < B = (3x-1.5)° . solve for x and round to the nearest whole number.

Answers

Given:

m∠D = 130 degrees

m∠B = (3x - 1.5) degrees

Let's solve for the value of x.

A parallelogram is a quadilateral that has equal opposite angles and equal opposite sides.

Since a parallelogram has equal opposite angles, measure of angle D and measure of angle B are equal.

Thus, we have the equation:

m∠B = m∠D

(3x - 1.5) = 130

Solve for x.

Remove the parentheses:

3x - 1.5 = 130

Add 1.5 to both sides:

3x - 1.5 + 1.5 = 130 + 1.5

3x + 0 = 131.5

3x = 131.5

Divide both sides by 3:

[tex]\begin{gathered} \frac{3x}{3}=\frac{131.5}{3} \\ \\ x=43.83\approx44 \end{gathered}[/tex]

Therefore, the value of x rounded to the nearest whole number 44

ANSWER:

44

Please help me with this, show full work for all questions, thank you!Question 3

Answers

Answer:

0.375

Explanation:

The probability of red and purple can be calculated as the frequency for rean and purple over the total frequency

Red has a frequency of 4

Orange has a frequency of 1

Yellow has a frequency of 1

Green has a frequency of 7

Blue has a frequency of 1

Purple has a frequency of 2

The total frequency is

4 + 1 + 1 + 7 + 1 + 2 = 16

And the frequency for red and purple is

4 + 2 = 6

Then, the probability is equal to

P = 6/16 = 0.375

So, the answer for question 3 is 0.375

The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) = 4x3 + 16x2 + 60x + 648, where x represents the number of years since the store opened. The amount of types of candy can be modeled by the linear function T(x) = 2x + 12. Which expression represents the amount of candy sold each year per type at Cassandra's Candy Corner?

4x3 + 16x2 + 58x + 636
4x3 + 16x2 + 62x + 660
2x2 – 4x + 54
2x2 + 4x + 54

Answers

The expression which correctly represents the amount of candy sold each year per type at Cassandra's Candy corner is; 2x2 – 4x + 54.

Polynomial division

It follows from the task content that the expression which shows the amount of candy sold each year per type is to be determined.

Since, the function, C (x) = 4x³ + 16x² + 60x + 648 represents the total amount of candy sold while, T(x) = 2x + 12 represents the amounts of types of candy.

Therefore, the amount of candy sold each year per type is; C(x) ÷ T(x).

Hence, the result of the polynomial division as in the attached image is; 2x² - 4x + 54.

Ultimately, the amount of candy sold each year per candy is represented by the expression; 2x² - 4x + 54.

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Describe a series of transformations Matt can perform to device if the two windows are congruent

Answers

A transformative sequence is a particular arrangement of transforming events. This suggests that a series of transformations may manage more than one transition, and that the order in which they occur is crucial. A and B are similar in this case.

Congruent is what?

When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.

Formally, two sets of points are said to be congruent if, and only if, an isometry, which is a collection of rigid motions including translation, rotation, and reflection, can transform them into one another.

This shows that resizing an object will not allow it to be properly aligned with another object, only by moving and reflecting it. Therefore, two independent plane figures on a piece of paper are congruent if we can cut them out and then precisely line them up. The paper might be distributed.

Each box is the same size in terms of length and width. The only change is where the figure is located.

Transformations can be divided into four categories: translation, rotation, reflection, and dilation.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Congruent refers to things that are exactly the same size and shape.

Hence, A and B are congruent.


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what is the area of a triangle with a base of 9units and a height of 7units ?

Answers

The area of a triangle is given by

[tex]A=\frac{1}{2}\cdot b\cdot h[/tex]

Where b is the base and h is the height of the triangle.

Let us substitute the given values of base and height into the above formula

[tex]\begin{gathered} A=\frac{1}{2}\cdot b\cdot h \\ A=\frac{1}{2}\cdot9\cdot7 \\ A=\frac{63}{2} \\ A=31.5 \end{gathered}[/tex]

Therefore, the area of the triangle is 31.5 square units.

Need help with this ASAP Ignore the top video.

Answers

The average rate of change of the function is found as 1.

What is termed as the rate of change of function?The rate of change function has been described as the rate during which one quantity changes in relation to another. The rate of change from y coordinates to x coordinates can be calculated as Δy/ Δx = (y2 - y1)/ (x2 - x1 ).

For the given question;

The function is given by the equation;

g(x) = -x² - 9x + 27

The interval of the function lies as;

-9 ≤ x ≤ -1.

Let,

a = -1 ans b = -9

Then,

g(a) = g(-1), Put x = -1 in the function.

g(-1) = -(-1)² - 9(-1) + 27

g(-1) = 35

Now, g(b) = g(-9), Put x = -9 in the function.

g(-9) = -(-9)² - 9(-9) + 27

g(-9) = 27

Thus, the average rate of change of the function is-

Average rate of change = [g(a) - g(b)]/[a - b]

= [35 - 27]/[-1 + 9]

= 8/8

= 1

Thus, the average rate of change of the function is found as 1.

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The midpoint of segment AB is (2,4). If the coordinates of point B are (5,7), find the coordinates of point A.

A (1, 1)
B (-1, 1)
C (1, -1)
D (-1, -1)

Answers

Answer:

I don't know why you asking me??

Answer:-1,1

Step-by-step explanation:

-1,1

t's find profit or loss percents. C. P. = Rs 200, S. P. = Rs 220​

Answers

Answer:

10% profit

Step-by-step explanation:

since the item was sold for more than it cost, this is a profit

percent profit = [tex]\frac{P}{C}[/tex] × 100%

profit P = SP - CP = Rs 220 - Rs 200 = Rs 20 , then

% profit = [tex]\frac{20}{200}[/tex] × 100% = 0.1 × 100% = 10%

Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?
The system can only be consistent and independent.
The system can be either inconsistent and independent or consistent and dependent.
The system can be either inconsistent and dependent or consistent and independent.
The system can only be inconsistent and dependent.

Answers

The statement which is true about the system of three linear equations is that: B. the system can be either inconsistent and independent or consistent and dependent.

What is a system of three linear equations?

A system of three linear equations can be defined as a type of algebraic equation of the first order that has three (3) variables with each of its term having an exponent of one (1).

In Mathematics, a system of three linear equations is considered as a consistent system when it has at least one solution. However, a system of three linear equations is considered as an inconsistent system when it has no real solution.

Additionally, a system of three linear equations is considered as an independent system when it possesses exactly one solution while it is a dependent system if it has an infinite number of solutions.

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A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $1,253.07, and the tax rate in the area is 7.1%, what was the pre-tax subtotal?

Answers

To answer this question, we can proceed as follows:

1. We have that the after-tax total was $1,253.07.

2. We have that the tax rate in the area is 7.1%.

3. Then to find the pre-tax subtotal, we can proceed as follows:

[tex]7.1\%=\frac{7.1}{100}=0.071[/tex]

Therefore, we have:

[tex]x+0.071x=1253.07[/tex]

4. Finally, we need to add the like terms as follows:

[tex]1.071x=1253.07[/tex]

And using technology, we can divide both sides by 1.071:

[tex]\begin{gathered} \frac{1.071}{1.071}x=\frac{1253.07}{1.071} \\ \\ x=1170 \\ \end{gathered}[/tex]

Therefore, the pre-tax subtotal is $1,170.

The registrars office at Acc predicts that 90% of the 6,950 spaces open on various math classes will be available during the first week of registrationA. The percent of spaces that will be filled after the first week of registration is %B. A good estimate of the number of spaces that will be filled after the first week of registration is Spaces

Answers

A: 10%

B: 6950*10%=695

Let h(x) = (fog)(x) =
f(x) =
4
(x-7) ²
Find f(x) given g(x) = x − 7.
-

F(x)= ?

Answers

Answer:

[tex]\frac{4}{x2}[/tex]

Step-by-step explanation:

h (x) = log (N) = [tex]\frac{4}{x -2} {2}[/tex]

g (x) = (x - 1)

g (x) = [tex]\frac{4}{x2}[/tex]

Question 4 of 10 What is the scale factor from ABC to DEF? A BO 72 42 35 65 B 66 O A. 2 OB. O O D. 6 Ico​

Answers

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex]

A person takes 50 minutes average to get to work. Time may vary by 10 minutes depending on traffic. Drag and drop the correct number or equation in each box to make the sentences true. "If the time taken by the person to get to work is T minutes, the equality that models this situation is_____ the minimum time taken by the person to get to work is _____min, the maximum time taken is____min.

Answers

Answer:

"If the time taken by the person to get to work is T minutes, the equality that models this situation is   | t - 50 | = 10 the minimum time taken by the person to get to work is 40 min, the maximum time taken is 60 min.

Step-by-step explanation:

The difference between the time and 50 minutes is 10 minutes.

This can be expressed as:

|t - 50| = 10

The minimum and maximum time can be found by solving the equation above:

t - 50 = 10 ⇒ t = 60 minutes,t - 50 = - 10 ⇒ t = 40 minutes.

The blanks to be filled in as:

1) | t - 50 | = 10,2) 40,3) 60.

Are the triangles congruent using AAS?
True
False

Answers

yes, true!! they are congruent using AAS
yes, true!! they are congruent.
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