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Slav-nsk [51]
3 years ago
15

How far from the base of a building must the bottom of a 15-foot ladder sit in order for it to make a 52 angle with the ground?

round to the nearest tenth of a foot.
Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

9.2 ft

Step-by-step explanation:

The length of the ladder is 15 ft

The ladder makes an angle of 52° with the ground

The distance (x) from the base of the house to the foot of the ladder is given by;

\frac{x}{15} = cos 52°

x = 15 × cos 52° = 9.23492213 ft

Which equals to 9.2 ft (rounded off to tenth of a foot)

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3(x+2)-2(×+1) i need help with this problem
zhuklara [117]

Question:

What is 3(x + 2) - 2(x + 1)?

Steps:

When you solve this type of equation always use the distributive property formula to solve this equation!

Formula: a(b + c) = ab + ac

So, what is 3(x + 2) ?

  • 3x + 6

Also, what is -2(x + 1)?

  • -2x - 2

Then, put it back into the equation for you to solve this problem.

So, this would be the new equation:

3x + 6 - 2x - 2

Then, what you want to do is put variables next to each other and the numbers next to each other so it will be easier to simplify:

3x - 2x + 6 - 2

Then, simplify:

x + 4 is the answer!

Since 3x - 2x = x and 6 - 2 = 4


Hope that helped!!

~Serina

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3 years ago
Round 10,031.464 to the nearest hundred.
insens350 [35]

Answer:

10,031.46

Rounded to the nearest 0.01 or

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Step-by-step explanation:

7 0
3 years ago
Help ༎ຶ‿༎ຶ i dont get it​
svetoff [14.1K]

Answer:

Step-by-step explanation:

You know the lengths of two sides and the angle between them, so use the Law of Cosines to find the third side.

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5 0
3 years ago
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Find the circumference of a circle if the radius is 2 inches.
Gnom [1K]

Answer:

12.566368 units

Step-by-step explanation:

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A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the
suter [353]

volume of the center sphere = 4/3*PI*r^3

r = 3 ( given in the picture)

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r = 3 and h=3 ( given in the picture)

so 3.14 * 3^2 * 3/3 = 28.26 cubic feet

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113.04 + 113.04 = 226.08 cubic feet

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3 years ago
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