The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

One base is __ inches for one of the bases and __ inches for the other base.


Use the formula for the area of a trapezoid. Substitute 72 for A and 6 for h and simplify the equation to find __ = (b1 + b2). Use guess and check to find two numbers that add to __ with one number 6 more than the other to get __ inches for one of the bases and __ inches for the other base.

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Hope it will help u..

Answer:

Z = -136

Step-by-step explanation:

z/8 + 2 = -15

       -2       -2

Z/8 = -17

Z/8 X 8     -17 X 8

Z = -136

Answer:

27 degrees.

Step-by-step explanation:

Please kindly check the attached file

Answer:

29xy

Step-by-step explanation:

Answer:

319

Step-by-step explanation:

just because work I don't wanna type

Answer:

$107.38

Step-by-step explanation:

$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})

$91 (th original price) + 15.38 (the tip) = $108.38 (final price)

Answer:

8+10v

Step-by-step explanation:

Answer:

8+10v

Step-by-step explanation:

Answer:

  500 +2m

Step-by-step explanation:

  500 "increased by" "twice Matt's savings"

translates to ...

  500            +                     2m

__

Your algebraic expression is ...

  500 +2m

Answer:

500 + 2m

Step-by-step explanation:

m represents Matt's savings. So 2m is twice that.

500 increased  by that means add them, so you get 500 + 2m

Given Information:  

Sample size = n = 40  

sample proportion = p = 35% = 0.35  

Required Information:

standard deviation of sample proportion = σ

Answer:  

standard deviation of sample proportion = σ = 0.075

Step-by-step explanation:  

Check if the condition np ≥  10 or n(1 - p) ≥ 10 is satisfied

np ≥ 10

40*0.35 ≥ 10

14 ≥ 10 satisfied

n(1 - p) ≥ 10

40(1 - 0.35) ≥ 10

26 ≥ 10 satisfied

Which means that distribution of sample proportion will have a mean closer to the population proportion.

The standard deviation for sample proportion is given by

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]

[tex]\sigma = 0.075[/tex]

Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.

Answer:

it's B

Step-by-step explanation:

Trust me

Answer:

5 + 2(3 + 2x) = x + 3(x + 1)

2.2-0.6=1.6

1.6*81=129.6

129.6/2=64.8

Answer: 64.8

The Leah score than Adam is, 64.8.

A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.

Adam had a z-score of -0.6 while Leah had a z-score of 2.2.

According, to the question:

[tex]2.2-0.6=1.6\\[/tex]

[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]

[tex]\frac{129.6}{2} \\64.8[/tex]

Hence, The Leah score than Adam score are 64.8.

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Answer:

5- 48

6- 1.5

7-324

Step-by-step explanation: You have to plug in the numbers for the variables

a times c = 12 times 4 =48

1/2 times B= 1/2 times 3= 3/2 = 1/5

A times b times d = 12 times 3 times 9 = 324

Answer:

x=4

Step-by-step explanation:

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE

The independent variable is; A: The number of secounds.

The dependent variable is; B) The number of feet the sub descends.

A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.

We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.

Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.

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Answer:

Step-by-step explanation:

Answer:

3/8 is the probability

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Plug in  -5 for x

Y=3(-5) -5

Y=-20

Hope this helped

:)

Answer:

-20

Step-by-step explanation:

y= 3x-5

y=3(-5)-5

y= -15-5

y= -20

Answer:

Step-by-step explanation:

The given expression represents exponential growth. The expression is written as

20,000(1.05)^t

Where

20000 represents the initial population of the town in 2005.

1.05 represents the rate at which the population is increasing each year after 2005. The actual growth rate is

0.05 × 100 = 5%

t represents the number of years after 2005

Therefore, the complete sentence would be

The population of the town is increasing by 5% each year.

Answer:

700

Step-by-step explanation:

420×5=2100

2100÷3=700

Answer: 700

Answer:

60

Step-by-step explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y          -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40    +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

Answer:

0.125

Step-by-step explanation:

Answer:

x = 1/8

Step-by-step explanation:

The first step is to make all of the denominators in the fractions the same. To do so, find what number multiplies by 4 to get to 8. This number is 2. Then, multiply that number to the numerator of the fraction you're going to change.

3/4 becomes 6/8.

The equation becomes 6/8 + x = 7/8.

Now, pay attention to the numerators. What number adds to 6 to get to 7? The answer is 1. Remember, the denominators must be the same, so the final answer is x = 1/8.

Answer:

h = -6

Step-by-step explanation:

To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.

(6 + h)(6 + 5) = 0

I like to use the acronym FOIL for problems like these: first, outside, inside, last.

To start, multiply the first terms, 6 and 6. The answer is 36.

Next, multiply the outside terms, 6 and 5. The answer is 30.

Then, multiply the inside terms, h and 6. The answer is 6h.

Finally, multiply the last terms, h and 5. The answer is 5h.

Add all the products together.

36 + 30 + 6h + 5h = 11h + 66

The equation becomes 11h + 66 = 0.

Now, subtract 66 from both sides to isolate h.

11h = -66

Then, divide both sides by 11 to further isolate h.

h = -6

You have your final answer, h = -6.

Answer:

Option (B) 336 cm³

Step-by-step explanation:

Height of the Regular Pyramid = 14 cm

Base area of the Regular Pyramid = 1/2 * Side²

Area of the Regular Pyramid = 1/3 * Base area * Height

                                                 = 1/3 * 14 * (1/2 * Side²)

                                                 = 1/3 * 14 * (1/2 * 12²)

                                                 = 1/3 * 14 * (1/2 * 144)

                                                 = 1/3 * 14 * 72

                                                 = 24 * 14

                                                 = 336 cm³

So, Option (B) 336 cm³ is the correct Option.

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Mark BRAINLIEST

Answer:

1

Step-by-step explanation:

Rearrange  y-x=8 to y=x+8

parallel lines have the same slope

so lines slope is 1

Answer:

Step-by-step explanation:15 books in 3 boxes =

books per box

Final answer:

The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.

Explanation:

To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:

So, the unit rate is 6 books per box.

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

Answer:

The Correct Answer is B

Step-by-step explanation:

Answer:

The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.

Step-by-step explanation:

Answer:

  B = 2M -A

Step-by-step explanation:

For given endpoint A and midpoint M, the other endpoint B can be found using the definition of the midpoint:

  M = (A+B)/2

  2M = A+B . . . . . multiply by 2

  2M-A = B . . . . . subtract A

The second endpoint can be found by subtracting the given endpoint from twice the midpoint:

  B = 2M -A

Answer:

3 seconds

Step-by-step explanation:

Downwards positive

a = 32

s = 1000 - 760 = 240

s = ut + ½at²

240 = 32t + 16t²

t² + 2t - 15 = 0

t² + 5t - 3t - 15 = 0

t(t + 5) - 3(t + 5) = 0

(t - 3)(t + 5) = 0

t = 3, -5

By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.

The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],

where:

d is the distance fallen

v is the initial velocity

a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])

t is the time

In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).

Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.  

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Answer:

9^2 +12^2 = m^2

81+144=m^2

225=m^2

m=15

The Pythagorean Theorem is a^2 + b^2 = c^2

In this case, your a is 9, your b is 12, and your c is m

Following the boxes:

9^2 + 12^2 = m^2

81 + 144 = m^2

225 = m^2

m = 15