A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?

Answer:

83 in.^2

Step-by-step explanation:

The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.

The total are is the sum of the area of the rectangle and the two triangles.

area = area of rectangle + area of first triangle + area of second triangle

area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)

area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2

area = 40 in.^2 + 28 in.^2 + 15 in.^2

area = 83 in.^2

Answer: C

Step-by-step explanation:

Answer:

9660÷23 = 420 your answer is 420

Answer:

16

Step-by-step explanation:

4 x 4

New cost = original price x (1 + markup)

New cost = 29.95 x ( 1 + 0.20)

New cost = $35.94

Answer:

hope this helps :)

Step-by-step explanation:

Decimal - 0.008

Simplifed fraction -- 2/25

Answer:

[tex]8\% = \frac{2}{25} in \: fraction \\ 8\% = \frac{8}{100} = 0.08 \: in \: decimal[/tex]

I do not know... I'm sorry...

Answer:

A sample size of 1 is never acceptable

Explanation:

A sample size of 1 is simply not statistically significant enough as to reach close to accurate conclusions based on sample data. Statistical tests using just one data point may not be enough to test data variability. Axrule of thumb or best practice is to have at least 10% sample size from the population. It is advised to have at least a sample size of 100 sayvpopulation is 1000 to be able to reach more valid conclusions from sample data.

Answer: 7/3

Step-by-step explanation:

Divide both by 3

21/ 3 = 7

9 / 3 = 3

You get 7/3. Hope that helps!

Answer:

24 hope this helps

Step-by-step explanation:

Answer:

n = -11

Step-by-step explanation:

Assuming you need to solve for n:

12 - n = 23 (Given)

-n = 11 (Subtract 12 on both sides)

n = -11 (Divide -1 on both sides)

Answer:

n = -11

Step-by-step explanation:

Since 2 negatives create a positive, 12 - -11 would turn into 12 + 11 = 23

Answer:

B and C

Step-by-step explanation:

For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:

A , D, and E are all the same number (1/3) so they're all the same shade.

The remaining shades (B and C) are both 1/2 so they're the same shade.

Therefore there are two different shades of paint.

For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).

Answer:

72 minutes or 1 hour and 12 minutes

Step-by-step explanation:

36(2)=72

Given :

Xinran walks 3 mi/h uphill, 4 mi/h on flat land and 5 mi/h downhill.

To Find :

If he walks one mile uphill, then one mile on flat land and then returns by the same route to his starting point, how many minutes does he walk.

Solution :

Time taken to walk one mile uphill is :

[tex]t_1 = \dfrac{1}{3}\ hours[/tex]

Time taken to walk two mile on flat land( one on going and one or returning ) is :

[tex]t_2 = \dfrac{2}{4}\ hours\\\\ t_2 = \dfrac{1}{2}\ hours[/tex]

Time taken to walk one mile downhill is :

[tex]t_3 = \dfrac{1}{5}\ hours[/tex]

Total time taken :

[tex]T = t_1 + t_2 + t_3 \\\\T = \dfrac{1}{3} + \dfrac{1}{2}+\dfrac{1}{5}\\\\T = \dfrac{10 + 15 + 6}{30} \\\\T = \dfrac{31}{30}\ hours = \dfrac{31}{30}\times 60 \ minutes\\\\T = 62\ minutes[/tex]

Therefore, time taken un 62 minutes.

Answer:

about 267 hours

Step-by-step explanation:

Answer:

hoped to convince the United States to stay out of World War II

Explanation:

just took the quiz :)

Answer:

Wanted to support one another in conquering Europe and Asia

Step-by-step explanation:

have you seen how he answers questions? doesn't deserve to have people answer his

Step-by-step explanation:

Answer:

13 away

i used my fingers

Answer:

12

Step-by-step explanation:

-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4

Just count he bottom lines

Answer:

12

Step-by-step explanation:

20/5 = 4

4 x 3= 12

3/5 of 20 is 12.

This is because 3/5*20/1=60/5 which reduces to 12.

Answer: 55, 720

This is the answer. No doubt about it

Answer:

no

Step-by-step explanation:

Answer: They walked 11/12 miles

Step-by-step explanation:

1/4 + 4/6

3/12 + 8/12

11/12

Answer:

k= 4/3

Step-by-step explanation:

distribute 9     9k- 18=-6

add 18 to both sides  9k= 12

divide by 9

The value of k is 4/3 or 1.334.

A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.

An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.

Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.

Given equation

9(k - 2) = -6

9k - 18 = -6

add 18 both sides

9k - 18 + 18 = -6 + 18

9k = 12

k = 12/9 =4/3 = 1.334

Hence the value of k is 4/3 or 1.334.

Learn more about equation;

https://brainly.com/question/29657983

#SPJ2

Answer:

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope  

−

1

2

and a given point  

(

0

,

0

)

to substitute for  

x

1

and  

y

1

in the point-slope form  

y

−

y

1

=

m

(

x

−

x

1

)

, which is derived from the slope equation  

m

=

y

2

−

y

1

x

2

−

x

1

.

Step-by-step explanation:

Answer:

[tex]10 = 2x - 20 \\ 10 + 20 = 2x \\ \frac{30}{2} = \frac{2x}{2} \\ 15 = x[/tex]

Answer:

There would be 40 people bowling on the second night.

Step-by-step explanation:

25 x .60 = 15

60% of 25 is 15.

25 + 15 = 40

Answer:

40

Step-by-step explanation:

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

Answer:

The 2nd one should be right

Step-by-step explanation:

prove me wrong