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irakobra [83]
3 years ago
12

The figure shows the dimensions of the side panel of a skateboard ramp.

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

A=28.7\ ft^{2}

Step-by-step explanation:

we know that

The formula to calculate the area of a triangle applying the law of sines is equal to

A=\frac{1}{2}(a)(b)sin(C)

we have

a=14\ ft

b=12\ ft

C=20\°

substitute in the formula

A=\frac{1}{2}(14)(12)sin(20\°)

A=28.7\ ft^{2}

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Solve for the missing length and the other two angles in the triangle below
Klio2033 [76]

Answer:

AC = 3.72 units

Angles:

A = 132.6°

C = 27.4°

Step-by-step explanation:

AC² = 5² + 8² - 2(5)(8)cos(20)

AC² = 13.82459034

AC = 3.718143399

3.718143399/sin20 = 8/sinA

sinA = 0.7358944647

A = 180 - 47.38285134

A = 132.6171487

3.718143399/sin20 = 5/sinC

sinC = 0.4599340405

C = 27.38285134

5 0
3 years ago
What happens to the circumference of a circle when the radius is quadrupled?
kogti [31]
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6 0
3 years ago
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A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What
Nady [450]

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = \frac{29}{17} = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

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3 years ago
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15,000 ????????????????
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If 10% of my money is $15, then what is 40% of my money?
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2 years ago
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