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Alexxx [7]
2 years ago
13

05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

Mathematics
1 answer:
jeka57 [31]2 years ago
3 0

Answer:

66.5 square feet

Step-by-step explanation:

See the given diagram attached with this question.

The right trapezoid consists of two parts, one square area having side length 7 ft and a right triangle having base 5 ft and altitude 7 ft.

Therefore, the area of the doghouse which is in shape of the given right trapezoid will be = area of the square + area of the triangle

= ( 7 × 7) + ( 0.5 × base × altitude )

= ( 7 × 7) + ( 0.5 × 5 × 7 )

= 49 + 17.5

= 66.5 square feet. (Answer)

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According to a college survey, 22% of all students work full time. Find the standard deviation for the random variable X, the nu
mixer [17]

Answer:

1.66

Step-by-step explanation:

Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size

Using this formula

Standard deviation(X)=√np(1−p)

Where,

n represent the number of students=16

p represent the percentage of all students who work full time=22

Let plug in the formula

Standard deviation(X)=√16(0.22)(1−0.22)

Standard deviation(X)=√(3.52)(0.78)

Standard deviation(X)=√2.7456

Standard deviation(X)=1.656

Standard deviation(X)=1.66 (Approximately)

Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66

8 0
3 years ago
The equation y = 13x describes the amount of money Sarah earns, where x is the number of hours she works
enot [183]

Answer:

A) $14/hr B) Austin

Step-by-step explanation:

A)

If he earns $140 in 10 hours you can divide 140 by 10 to find out how much he makes per hour

B)

Sarah makes $13/hr which is $1 less than Austin

8 0
3 years ago
I need help please. Must be correct. 10 points. Thanks
Anna11 [10]

We have the supplementary angles.

The sum of the measures of the two Supplementary Angles is 180°.

Therefore we have the equation:

13x - 2 + 39 = 180

13x + 37 = 180     <em>subtract 37 from both sides</em>

13x = 143      <em>divide both sides by 13</em>

<em>x = 11</em>

<h3>Answer: 11</h3>
5 0
2 years ago
Our work: -2x + 4 = 5 - 3x
Vikentia [17]

Answer:

x=1

Step-by-step explanation:

-2x + 4 = 5 - 3x

Add 3x to each side

-2x+3x + 4 = 5 - 3x+3x

x +4 =5

Subtract 4 from each side

x+4-4 =5-4

x =1

6 0
3 years ago
A person makes 300 dollars a month babysitting. If they
Keith_Richards [23]

Answer:

They will save $90 each month

Step-by-step explanation:

300*30%

or

300*.3

90

7 0
2 years ago
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