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Phoenix [80]
3 years ago
12

The area of the cross section of a sphere at the largest point is 100π square miles. what is the total surface area of this sphe

re? leave your answers in terms of π.
Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0

The cross-section of a sphere  is a circle . The  area of a circle can be calculated by the formula A= \pi\r^{2} Where r is the radius of the circle.

Given :\pir^{2}   = 100\pi

Solving for r we have:

r^{2} = \frac{100\pi }{\pi}=   100

Or r= 10.

The area of a sphere is calculated by the formula :

SA = 4\pi  R^{2}

Substituting r value we have:

SA= 4\pi\ 10 ^{2}    = 400\pi

The total surface area of this sphere is 400π .

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Asharia ran 9miles with her friend Mallory last week. This is 60% of the distance she ran all week. How far did she run last wee
Pachacha [2.7K]
9 miles is = 60% of the distance she ran all the week.

9 =  60% of  x.
9 =  0.60 * x.
0.6 x  =  9 .  Divide both sides by 0.6.

x =  9 / 0.6
x = 15.
Total distance =  15 miles.
3 0
3 years ago
if 4 people are responsible for 25% of the work and one is doing .025 how much work do the other 3 take on?
valina [46]

Answer:

22.5%

Step-by-step explanation:

1 person is doing 0.025 of the work. What is that in percent??

<em>We convert decimal to percentage by multiplying by 100 and sticking the "%" sign.</em>

<em>So,</em>

0.025 * 100 = 2.5%

Hence, 1 person is doing 2.5% of the total 25% of the work alloted to 4 persons.

The other 3 would do rest of the work, that would be:

25% - 2.5% = 22.5%  of the work (rest 3 person would be)

6 0
3 years ago
7. Jason wants to walk the shortest distance to get from the parking lot to the beach
Assoli18 [71]
There are 3 right triangles.
                         Long leg          short leg           hypotenuse
Large                  ?                          ?                       32+18 = 50 m
Medium            32 m                     x                          ?
Small                   x                         18 m                    ?

Similar triangles: small & medium

short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24

                       Long leg          short leg           hypotenuse
Large                  ? → 40 m          ?                       32+18 = 50 m
Medium            32 m                     24 m                 ? → 40 m
Small                24 m                     18 m                  ? → 30 m

solve hypotenuse of medium and small using Pythagorean theorem.

32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c

24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c

Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse

32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters

B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
</span>
7 0
3 years ago
I need help with #6 it must contain part a, part b, and part c to make brainliest please help me
sattari [20]
1) for every three feet she sew it equils to 1 foot sewn
2) f/3=y(yards)
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6 0
4 years ago
How do you get percent of total and central angle on a pie chart?(note: I only have a fraction of 15/24)
almond37 [142]
Add all the porcents
8 0
3 years ago
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