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Marat540 [252]
3 years ago
9

A pyramid has a base area of 60.5 cm^2 and a height of 12 cm what is the volume of the pyramid

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

242 cm^3

Step-by-step explanation:

Volume of a pyramid = 1/3 * area of base * height

= 1/3 *  60.5 * 12

= 242 cm^3

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Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)
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Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}


You should also know this:

sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)

So plugging in both of those into our identity, we get:

\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)

Simplify the denominator on the LHS (Left Hand Side)

We get:

cos(t) \cdot sin(t) = cos(t) \cdot sin(t)

LHS = RHS

Therefore, identity is verified.
4 0
3 years ago
How many solutions exist for the given equation?
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Hey the answer is one.

Step-by-step explanation:

There is a quizlet with 18 of the answers with explanations on it just type in the unit subject and this question and it should pop up.

But on a side note,

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5 0
3 years ago
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Find the measure of d.
ad-work [718]

Answer:

d = 123

Step-by-step explanation:

The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each.

Therefore, the opposite angles of the above quadrilateral are supplementary.

This means:

c + 31 = 180 , and

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Find the measure of d:

d + 57 = 180

Subtract 57 from both sides.

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3 years ago
Nine and twenty hundredths as a decimal
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Answer:

0.920

I think this is right

8 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The length of each
aleksley [76]

Answer:

15 inches

Step-by-step explanation:

Suppose length of original square is L inches.

Now, to form a new square the length increases by 2.5 inches

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Formula:-

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Therefore 70=4*(L+2.5)

                   70 =4 L+10

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7 0
3 years ago
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