What is the perimeter of this rectangle?
Answer:
6[tex]\sqrt{17}[/tex] or 24.738634
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.
The picture shows the Pythagorean theorem being used to find AB and AD.
AB = [tex]\sqrt{17}[/tex]
AD = [tex]\sqrt{68}[/tex]
Now we can find the perimeter
2([tex]\sqrt{17}[/tex]) + 2([tex]\sqrt{68}[/tex]) = 6[tex]\sqrt{17}[/tex]
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Answer:= 0.124688 oz per fl
Step-by-step explanation:
This is a fraction equal to
3.99 oz ÷ 32 fl
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 32
3.99 oz ÷ 32
32 fl ÷ 32
=
0.124688 oz
1 fl
=
0.124688 oz
fl
= 0.124688 oz pe
Porter has $99.931 in a savings account. The interest rate is 14% per year and is not compounded. To the nearest dollar, how much interest will he earn in 5 years?.
Use the formula i = prt, where I is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and it is the time in years. Round your answer to the nearest dollar.
$?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$99.931\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (99.931)(0.14)(5)\implies I\approx 70[/tex]
A ______ is sometimes a rectangle
1: parallelogram
2: rhombus
3: square
4: trapezoid
Answer:
A square is sometimes a rectangle, but a rectangle is never a square.
a ball has a diameter of 4 inches what is the volume
Answer:
268.08 cubic inches
Step-by-step explanation:
I'm sorry if this isn't helpful
17) Your parents put $2000 into an account when you were born. This account has an interest rate of 8%
How much money will be in the account on your 18th birthday if the interest is
a) Compounded annually?
b) Compounded continuously?
Answer:
a.......4880
Step-by-step explanation:
b.......180 per year
How many miles is 2 hours and 45 minutes ?
Answer:
24.85 mph
Step-by-step explanation:
I hope you have a great day:)
Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Let f represent the number of flowers Ash has in all.
Answer:
Ash has 58 flowers in total
Step-by-step explanation:
Given:
- buys 5 bunches
- each bunch contains 10 flowers
- 8 more flowers from his yard.
5 bunches times 10 flowers plus the 8 more flowers from the garden
F = 10(5) + 8
F = 50 + 8
F = 58
Answer:
Ash has 58 flowers in all
Step-by-step explanation:
Y representing = bunches of flowers
F representing = the flower
1. Y=10f
2. Y=10f 5 x 10 = 50
3. Y=10f 50 + 8 = 58
4. Y=10f
5. Y-10f
f = 58
Which is a diagonal through the interior of the cube?
BE
CF
DG
GF
Answer:
CF is a diagonal through the interior of the cube.
Which is the solution to this system of equations?
Answer:
E empty set
Step-by-step explanation:
The answer is empty at
Select the correct answer.
Consider this quadratic equation.
X^2+ 1 = 2x-3
Which expression correctly sets up the quadratic formula?
OA. -(-2) + 2)2 - 4(1)(4)
2(1)
OB.-(-2) + VE-2)2 – (1)(4)
2(2)
OC -2 + (-2)2 - 4(1)(4)
2(1)
OD. -2 + (2)2 – 4(1)(-2)
2(1)
Find the values a, b, and c to substitute into the quadratic formula.
Remember:Standard formNotice how there are a, b, and c. Everything is left of the equal sign, leaving 0 on the right.
ax² + bx + c = 0
Quadratic formulaNotice how there are a, b, and c too, just like in standard form. After we find standard form, we can substitute a, b and c values into the quadratic formula.
[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]
Step-by-step solutionHere are the steps we will follow:
Rearrange the equation from the question into standard form.Determine the values for a, b, and c.Substitute a, b, and c into the quadratic formula.Compare options and simplify as needed.Rearrange into standard formMove everything to the left while keeping both sides equal.
x² + 1 = 2x – 3 Equation from the question
x² + 1 + 3 = 2x – 3 + 3 Add three to both sides.
x² + 1 + 3 = 2x -3 + 3 cancels out to 0.
x² + 4 = 2x Simplify.
x² + 4 – 2x = 2x – 2x Subtract 2x from both sides.
x² + 4 – 2x = 0 No numbers on the right side is the same as 0.
x² – 2x + 4 = 0 Rearrange to follow ax² + bx + c = 0.
Determine a, b, and c valuesFind a, b, and c from standard form.
ax² + bx + c = 0 Standard form
x² – 2x + 4 = 0 No number attached to x² means a = 1.
a = 1, b = –2, and c = 4
Substitute into the quadratic formulaSubstitute a = 1, b = –2, and c = 4 into the quadratic formula.
[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]
Here is how our formula set up should look:
[tex]\displaystyle{x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(4)}}{2(1)} }[/tex]
Compare answer optionsLet's compare formula set up to the options in the question.
The denominator is 2(1). So, the answer is not option B.
Inside the square root, it says –4(1)(4). So, the answer is not option D.
This leaves us with either option A or option C.
SimplifyBefore the ±, it says –(–2). When simplified, –(–2) is 2.
Option C has –2. So, the answer is not option C.
Inside the square root, it says (–2)², which is equal to 2².
When solving exponents of negative numbers,
an odd exponent results in a negative product, and;an even exponent results in a positive product.The exponent 2 is even.
(–2)² = 4
∵ (–2)² = 4 and 2² = 4
∴ (–2)² = 2²
(–2)² is the same as 2².
Therefore, the answer is option A.
simplify the following
Answer:
[tex]-20\sqrt{3}-5\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]
Rewrite 12 as 4 · 3 and 50 as 25 · 2 and 48 as 16 · 3 :
[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]
[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]
As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:
[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]
Simplify:
[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]
Collect like terms:
[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]
Combine like terms:
[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]
Which is the graph of linear inequality 2y > x – 2?
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
How to graph inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
The given linear inequality is,
[tex]2y > x - 2[/tex]
Solve it further,
[tex]2y > x - 2\\2y-x > - 2[/tex]
Change the inequality with changing the sign of it,
[tex]x-2y < 2[/tex]
The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,
The inequality is shaded with dotted line.As the equation is linear. Thus, in the graph, a straight line is plotted.The sign in of greater than. Thus, the left of the line is shaded.Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
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a. find the surface area of the rectangular prism
b. find the volume.
a. find the volume of the prism
b. find the surface area of the prism.
Answer:
For rectangulasr prism
a. [tex]72cm^3[/tex]
b. [tex]108cm^{3}[/tex]
Step-by-step explanation:
For rectangulasr prism
a. Equation: Volume = length x width x height
length: 6cm
width: 4cm
height: 3cm
Volume = 6cm x 4cm x 3cm
Volume = 24cm x 3cm
b. Equation: A = 2[(width x length) + (height x length) + (heigth x width)]
A = 2[(4cm x 6cm) + (3cm x 6cm) + (3cm x 4cm)]
A = 2[(24cm) + (18cm) + (12cm)]
A = 2[(24cm) + (30cm)]
A = 2[(54cm)]
which prism has the greatest value
Whats the area of a circular lamp base that is 20cm in diameter?
Answer:
314.16cm²
Step-by-step explanation:
please mark me as brainliest.hope this helps
10.) 189 girls and 115 boys signed up for art lessons.
The pupils were divided equally into 8 classes.
How many pupils would there be in each class?
Answer:
38
Step-by-step explanation:
add 189+115 = 304
then 304÷8 =38
Use the box plots comparing the number of boy dogs and number of girls dogs attending doggy daycare each day for a month to answer the questions.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Part A: The IQR for the males' data. 23
Part B: The difference between the median values of each data set. 13
Part C: The distribution of the data and if the mean or median would be a better measure of center for each Median for the males and Mean for the females
Part D:The possible reason for the outlier in the data set. The day the movie premiered
What will be the answers?The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
Minimum 0 0
FIrst Quarlite Q1 2 5
Second Quarlite, Mediun Q2 20 7
Third Quarlite 25 40
Maximum 50 18
Outlier 46
Part A:
The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B:
The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile range located approximately in the middle between the max and the min values with the median being close to the first quartile, therefore, the mean will be a better measure of center as it will be located further from the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
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Need help thank you
Answer: [tex]i\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{-5}=\sqrt{(-1)(5)}=\sqrt{-1} \sqrt{5}=\boxed{i\sqrt{5}}[/tex]
This is an easy question , and Ik the answer who ever answers it first I’ll give u brainliest
Answer:
option b, 205
Step-by-step explanation:
Each dot on the line plot represents a different length of the ribbon,
To find the total length of the ribbon you add all the different length that was cut,
3(11.5) + 5(12) + 1(12.5) + 2(13.5) + 4(14) + 1(15)
34.5 + 60 + 12.5 + 27 + 56 + 15 = 205
205
hope it helps...!!!
thx for points
A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days to build. How many days will the building work take in total
499
199
+------- the answer is 698 you have to add 499 and 199.
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides have opposite reciprocal slopes.
B. All sides are congruent.
C. Opposite sides are parallel.
D. Consecutive sides are congruent,
but opposite sides are not.
Answer:
A. Consecutive sides have opposite reciprocal slopes
Step-by-step explanation:
A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.
__
A. Consecutive sides have opposite reciprocal slopes
Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.
B. All sides are congruent
A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.
C. Opposite sides are parallel
A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.
D. Consecutive sides are congruent, opposite sides are not.
This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.
_____
Additional comment
If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.
What is the mean of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
2.75
Step-by-step explanation:
100 POINTS!! NEED ANSWER ASAP!! A circle with center O is shown. Match each part of the circle to the term that describes it. Match the tiles.
Answer:
Step-by-step explanation: Parts of a circle.
Radius - the side of one slice of pizza
minor arc - The arc formed by the outer side of 3 or less slices of pizza
Diameter - the slice of pizza from side to side that passes through the center
Major arc - The arc formed by the outer side of 5 to 7 slices of pizza
semi circle - 4 slices of pizza or half of the whole pizza
Pairs:
angle BAC - Inscribed angle
Line IE - Secant
Segment AC - Chord
Arc FH - Minor arc
Angle HGF - Circumscribed angle
The complete sentences are:
angle BAC - Inscribed angleLine IE - SecantSegment AC - ChordArc FH - Minor arcAngle HGF - Circumscribed angleWhat is secant and chord?A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. Every secant line defines a distinct chord, and each chord is in its own unique secant line.
Given:
We have circle with center O.
Now, <BAC is inside the circle.
So, <BAC is an Inscribed angle.
then, IE is a secant as it is intersecting circle at two points
then, AC id a chord
then, Arc FH is a minor arc
and, <HGF is an Circumscribed angle as it is outside the circle.
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look at attachment and try to solve
The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The problem can be solved as,
The three medians are = CL, AM, and BN.The centroid is point Z.The value of BN, if BZ=30 units, is 45 units.Learn more about Triangle:
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The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 50 total employees, approximately how many worked at least 30 hours last week?
Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.
The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
− 3x + 5y = 22 or 3x = 5y − 22 ...1
20y − 11 = 12x or 12x = 20y − 11 ...2
The system of the equations follows the condition that will be
12/3 = 20/5 ≠ 11/22
4 = 4 ≠ 1/2
This is the condition for the parallel lines or no solution.
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Answer:
2x + y = 4, 5y = 10x + 4
is a system of linear equations representing intersecting lines.
2x + 3y = 21, -6y = 4x + 1
is a system of linear equations representing parallel lines.
-2x + 4y = 9, 8y = 4x + 18
is a system of linear equations representing coincidental lines.
Step-by-step explanation:
Graphed them all.
The temperature at midnight was -8°C. The temperature at 5 am was -3°C. (a) Work out the difference between the two temperatures. (b) The temperature at midday was 9°C higher than the temperature at 5 am.. Work out the temperature at midday.
a) The difference between the temperatures is 5°c.
b) We will see that at midday, the temperature is 12°C.
How to find the differences between the temperatures?
We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.
a) First we want to find the difference between the temperatures, we can compute that directly:
T' - T = -3°C - (-8°C) = 5°C
This means that the temperature increased 5°C in that time interval.
b) At midday, the temperature was 9°C higher than at 5am, this means that:
T'' - T' = 9°C
T'' - 3°C = 9°C
Now we can solve this for T''
T'' = 9°C + 3°C = 12°C
At midday, the temperature is 12°C.
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a) I have three times as much money as does my brother. Our combined total is 24. How much does each of us have?
Answer:
Brother has $6
I have $18
Step-by-step explanation:
To answer - you have to write the equation out. Money I have is (3x) and Brother's money is x. :)
in standard form for properties of exponents
Answer:
1 / 64
Step-by-step explanation:
(2^2)^-3
apply exponent rule: (a^b)^c = a^(bc) a ≥ 0
2^((2) - 3)
((2) - 3) = -6
2^-6
apply exponent rule: a^-b = 1 / a^b
2^-6 = 1 / 2^6
2^6 = 64
1 / 64
Let me know if you have any questions !