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Mumz [18]
2 years ago
12

painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet fr

om the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?
Mathematics
1 answer:
Alina [70]2 years ago
8 0

Answer:

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

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What is 10 times Six
olchik [2.2K]

10 • 6 = 60

10 + 10 + 10 + 10 + 10 + 10

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20 + 20 + 20

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40 + 20 = 60

3 0
3 years ago
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A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes,
creativ13 [48]

Answer:

...........................................................................

6 0
3 years ago
Given the linear system:
azamat

Answer:

y=x+1/2z+-1/2

Step-by-step explanation:

Let's solve for y.

2x−2y+z=1

Step 1: Add -2x to both sides.

2x−2y+z+−2x=1+−2x

−2y+z=−2x+1

Step 2: Add -z to both sides.

−2y+z+−z=−2x+1+−z

−2y=−2x−z+1

Step 3: Divide both sides by -2.

-2y/-2 = -2-z+1/-2

y=x +1/2z+-1/2

3 0
3 years ago
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
for every $2 kendra spent on materials, she could make 5 coasters. She made 60 coasters and sold them for the York Beach Fair, c
TEA [102]
Her profit was 126$ because she spent 24$ on her materials and then charged 5$ per 2 so you get 150$ then subtract the 24
(I think)
7 0
3 years ago
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