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3 years ago

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Maria and Ming start at the same point and drive in opposite directions. Maria drives 75 mph and Ming drives 66 mph. How far apa

rt will they be in 3 hours?
A. 433 miles
B. 141 miles
C. 291 miles
D. 423 miles

1 answer:

k0ka [10]3 years ago

5 0

Answer:

D. 423 miles

Step-by-step explanation:

75 miles(3 hours)

66 miles(3 hours)

225+198=423 miles

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Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area o

klemol [59]

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

<h3>What is the surface area of a sphere?</h3>

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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4 years ago

What's the radius of a circle with an area of 64 square feet?

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3 years ago

Read 2 more answers

Given parallelogram CASE, CE = x + 23, and AS = 2x + 10, find CE

andreyandreev [35.5K]

Answer:

CE = 36

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

AS = CE , substitute values

2x + 10 = x + 23 ( subtract x from both sides )

x + 10 = 23 ( subtract 10 from both sides )

x = 13

Then

CE = x + 23 = 13 + 23 = 36

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3 years ago

I DON’T UNDERSTAND! PLEASE HELP!

Brums [2.3K]

Answer:

The height of the water is $60.5\ ft$

Step-by-step explanation:

step 1

Find the volume of the tank

The volume of the inverted right circular cone is equal to

$V=\frac{1}{3}\pi R^{2} H$

we have

$R=16\ ft$

$H=96\ ft$

substitute

$V=\frac{1}{3}\pi (16)^{2} (96)$

$V=8,192\pi\ ft^{3}$

step 2

Find the 25% of the tank’s capacity

$V=(0.25)*8,192\pi=2,048\pi\ ft^{3}$

step 3

Find the height, of the water in the tank

Let

h ----> the height of the water

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{R}{H}=\frac{r}{h}$

substitute

$\frac{16}{96}=\frac{r}{h}\\ \\r= \frac{h}{6}$

where

r is the radius of the smaller cone of the figure

h is the height of the smaller cone of the figure

R is the radius of the circular base of tank

H is the height of the tank

we have

$V=2,048\pi\ ft^{3}$ -----> volume of the smaller cone

substitute

$2,048\pi=\frac{1}{3}\pi (\frac{h}{6})^{2}h$

Simplify

$221,184=h^{3}$

$h=60.5\ ft$

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3 years ago