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Nutka1998 [239]
2 years ago
15

A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement

must be true about the two solids?

Mathematics
1 answer:
Eva8 [605]2 years ago
7 0
Check the picture.

The bases of the 2 prisms are on 2 parallel planes, a and b.

Let c be a third plane, between a and b, parallel to both.

Then, 

 the cross-sections A and B , of the 2 prisms, formed by plane c, have Equal Areas,

this is by Cavalier's Principle.

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What is the length of the altitude of the equilateral triangle below?
Mazyrski [523]

ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


6^2=a^2+3^2


6^2-3^2=a^2


36-9=a^2


27=a^2


We take the square root of both sides,

\sqrt{27}=a


\sqrt{9\times3}=a


\sqrt{9} \times \sqrt{3}=a


3\sqrt{3}=a


Method 2 Using Trigonometry

sin(60\degree)=\frac{a}{6}

6sin(60\degree)=a


a=6\times \frac{\sqrt{3}} {2}


a=3\sqrt{3}






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2 years ago
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You supervise a team of seven workers. You record the number of team members who reach
LuckyWell [14K]

Answer:

4.2 team members per day

Step-by-step explanation:

5 + 4 + 2 + 7 + 3 = 21

21/5 = 4.2

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2 years ago
Write a expression that shows 3 times the sixth power of 10
user100 [1]
(10 raised to the power of 6)×3     

(10*6) ×3
8 0
2 years ago
Which statements about the graph of the function y = (StartFraction 1 Over 3 EndFraction) Superscript x are true?
WARRIOR [948]

the function is decreasing and the y intercept is (0,1)

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2 years ago
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Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The
aliina [53]

Answer:

The correct option is B) c=\frac{5}{\cos35^0}.

Step-by-step explanation:

Consider the provided information.

Angle A C B is 90 degrees and angle A B C is 35 degrees.

The required figure is shown below:

We need to find the value of c.

Use the trigonometric function: \cos\theta=\frac{Adjacent}{Hypotenuse}

\cos35^0=\frac{5}{c}

c=\frac{5}{\cos35^0}

Hence, the correct option is B) c=\frac{5}{\cos35^0}.

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2 years ago
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