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Morgarella [4.7K]

4 years ago

6

Please, can someone help?

1 answer:

LekaFEV [45]4 years ago

3 0

The area of that figure is 2453.25 square feet

First, you would need to find the area of the rectangle

(L)(W)
(70)(30)
2100

Then since it is only a semi circle, the formula is pi*r^2/2

You find the area of a full circle first

(3.14)(15^2)
(3.14)(225)
706.5

Then you divide that by 2 since it’s only half a circle

706.5/2 = 353.25

Finally you add that by the area of the rectangle

2100 + 353.25 = 2453.25 square feet

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PLEASE SHOW WORK

CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

$V = \dfrac{\pi}{3}r^2h$

Taking the derivative of V with respect to time, we get

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)$

$\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)$

Since r is always equal to h, we can set

$\dfrac{dr}{dt} = \dfrac{dh}{dt}$

so that our expression for dV/dt becomes

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)$

$\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}$

Solving for dh/dt, we get

$\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}$

$\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})$

$\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}$

7 0

3 years ago

Can somebody help me out with this Algebra 2 work? If you could that'd be really appreciated!! Good luck!

larisa [96]

Answer:

8 OR -8 OR Both

Step-by-step explanation:

-2 x 4 = -8

-8 x -8 x -8 = -64

Square root = 8 OR -8

1 to the 9th power = 1

-8 / 1 = -8

8/1 = 8

Hope that helps!

6 0

3 years ago

Write the equation of an ellipse given:

g100num [7]

The answer would be 1.23 that is the answer

7 0

4 years ago

Find the length of the lamppost to the nearest inch.

olganol [36]

Answer:

109 inch

Step-by-step explanation:

we know that

$tan\theta=\frac{Perp}{Base} \\\theta=70\\Base=40 in$

So,

$tan(70)=\frac{Perp}{40} \\\\2.747=\frac{Perp}{40} \\\\2.747\times40=Perp\\\\Perp=109\quad in$

So, length of lamppost is 109 inch

5 0

3 years ago

A rectangle is 24.6 m long and 8.65 m wide what is the area of this rectangle

MArishka [77]

The area of this rectangle is 212.79 m

8 0

3 years ago

Read 2 more answers