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3 years ago

What is the volume of the rectangular pyramid shown belown?

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

9514 1404 393

Answer:

168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

A = LW

A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

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Perform the indicated operation: (-1 1/2)(-3/2)

LiRa [457]

Answer:

=8 1/4 as a fraction or 8.25 in decimal form.

Step-by-step explanation:

The indicated operation is the product of the two fractions. Multiplication opens the brackets.

(-11/2)×(-3/2)

=(-11×-3)/(2×2)

=33/4

The negative signs before each term cancel out in multiplication and division.

=33/4 =8 1/4= 8.25

Choose 1 answer among the improper fraction, Mixed fraction or the decimal.

6 0

3 years ago

Which is the graph of f(x)= square root of x

insens350 [35]

Hello!

The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)

I hope this helps :))

4 0

3 years ago

If y varies inversely as x and y=23 when x=8 find y when x=4

valina [46]

<h2>INVERSE VARIATION</h2>

EQUATION: 

$y = \frac{k}{x}$

––––––––

First, find the constant of variation k using the formula k=xy.

$23 = \frac{k}{8}$

$k = (8)(23)$

$k = 184$

––––––––

Then, find y if x is equal to four using the formula y=184/x.

$y = \frac{184}{x}$

$y = \frac{184}{4}$

$y = 46$

Final Answer:

5 0

2 years ago

Use linear approximation to estimate f (2.85 )given that f (3 )equals 2 and f prime (3 )equals 5.

Allisa [31]

Answer:

Step-by-step explanation:

Given that,

f(3) = 2

f'(3) = 5.

We want to estimate f(2.85)

The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".

At x = a, y = f(a) and the slope of the tangent line is f'(a).

So, in point slope form, the tangent line has equation

y − f(a) = f'(a)(x − a)

The linearization solves for y by adding f(a) to both sides

f(x) = f(a) + f'(a)(x − a).

Given that,

f(3) = 2,

f'(3) = 5

a = 3, we want to find f(2.85)

x = 2.85

Therefore,

f(x) = f(a) + f'(a)(x − a)

f(2.85) = 2 + 5(2.85 - 3)

f(2.85) = 2 + 5×-0.15

f(2.85) = 2 - 0.75

f(2.85) = 1.25

5 0

3 years ago

What is the measure of

Dvinal [7]

Answer:

Okay buddy the answer is 63 because if you look at all the angles they are suppose to add up to 180 so with the line D and A the angles is 128 so the angle on the other side is 52 so 52 plus65 is 117 so then 180-117 is 63

Step-by-step explanation:

mark me branliest

5 0

3 years ago