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NikAS [45]
3 years ago
10

a candy bar box is in the shape of a triangular prism. The volume of the box is 1200 cubic centimetres. The base is 10 centimetr

es and the length is 20 centeimeters. What is the height of the base?
Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

V=\frac{HBL}{2}\\ \\ H=\frac{2V}{BL}\\ \\ H=\frac{2(1200)}{10(20)}\\ \\ H=12cm

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Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

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Upon substituting our given value in the formula we will get,        

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\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

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Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

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Step-by-step explanation:

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