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djverab [1.8K]
3 years ago
9

3. A children's slide is 10 feet long and inclines 64° from the ground. The

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

  87.0°

Step-by-step explanation:

The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.

In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°

The ladder makes an angle of about 87° with the ground.

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Answer:

Height = 8 cm

You will need this formula (see attached):

Volume = [PI * 8 * (2² + 2*4 + 4²)]  / 3

Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3

Volume = 234.57 cubic centimeters

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

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2 years ago
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Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

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because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

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Oksana_A [137]

Answer:

4.9 units

Step-by-step explanation:

We are dealing with a Right angle triangle, and the c is actually the hypotenuse. We are given the measures of a and b.

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4.9 units

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