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Mandarinka [93]
4 years ago
7

The base of a bicycle ramp has an area of 4 square feet. The ramp is a triangular prism. If the ramp has a height of 2 1/2 feet,

what is the volume of the ramp?
Mathematics
1 answer:
Anastaziya [24]4 years ago
4 0

Answer:


Step-by-step explanation:

In general:

Volume = (the area of the base of the figure) times (the figure's height)

Here, the area of the base is 4 square feet, the height is 2 1/2 foot = 5/2 foot

Our Volume is then:

4 square feet * 5/2 foot = 10 cubic feet

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2 years ago
In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.
Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

8 0
3 years ago
The medians of triangle XYZ intersect at Point P. If PY=12, what is VY?
AlekseyPX

Answer:

18

Step-by-step explanation:

PY = \frac{2}{3} YV

\frac{2}{3} YV = 12

VY = 18

3 0
3 years ago
What are the next 3 numbers in the number sequence?<br> 23,31,41, 53?
aksik [14]

Answer:

61, 71, 83

Step-by-step explanation:

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3 years ago
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Ede4ka [16]

16.88

523.12

at least for the question i got

4 0
3 years ago
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