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Alexxandr [17]
3 years ago
11

In example 4, the volume of the beach ball is 17,000 cubic inches. Find the radius to the nearest inch. Use 3.14 for pi

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Volume of a sphere formula is: V=4 /3 πr^3

You know v=17000 and pi=3.14

17 000 = 4/3 x 3.14 x r^3

(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)

(cube root is to get just r) r = 15.95 inches (2dp)

There 15 inches to the nearest inch.

Hope this is correct! :D


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Find the measure of CD.<br> Round to the nearest tenth.<br> mCD= [?]
LUCKY_DIMON [66]

Answer:

The arc CD is: 114.64°

Step-by-step explanation:

The given triangle inside the circle, we can get the trigonometric ratio such as

sin x = opposite / hypotenuse

Here:

The opposite side of angle x = 36.7/2

The hypotenuse = 21.8

Thus,

sin x = [36.7/2] / [21.8]

sin x = 18.35 / 21.8

sin x  = 0.8417

x = arc sin (0.8417)

x = 57.32°

Thus, the angle formed at the center by CD is:

2 x 57.32 = 114.64°

Therefore, the arc CD is: 114.64°

8 0
3 years ago
one thrid of fruits stalls are apples the rest of the fruit are oranges and pears there are 340 pears and 80 more oranges than a
Andrej [43]
1/3 of all=apples
2/3=rest=oranges+pears


pears=340
oranges=80+apples

ok

pears+oranges=2/3
apples=1/3
so pears+oranges=2(apples)
340+80+apples=2(apples)
minus apples
340+80=apples
420=apples

420 apples
420=apples=1/3 of total

420 times 3=1260 fruits total
8 0
3 years ago
Kris has two choices for a part-time job after school. Kris could make $10 per hour entering data for a local company, but none
amm1812
I'll do a similar problem, and I challenge you to do this using similar techniques!

If John works for 15$ a hour with his friends rather than working for 20$ an hour for 50 hours a month, what's the monthly opportunity cost?

John would make 20*50=1000 dollars a month at the second option as he makes 20$ an hour 50 times. Next, if he works with his friends, he makes 15*50=750 dollars as he works 50 hours for 15 dollars an hour, or adds 15 50 times.

His opportunity cost would be <highest money>-<lowest money>=1000-750=250 dollars a month. Good luck on this question, and feel free to ask further questions!
3 0
3 years ago
Read 2 more answers
What’s the Greatest common factor of 12 and 60?
rewona [7]

12 is your answer

12 x 1 = 12

12 x 5 = 60

hope this helps

3 0
3 years ago
Read 2 more answers
Which zero pair could be added to the function f(x)=x2+12x+6 so that the function can be written in vertex form?
alex41 [277]
Find the vertex.

x=b/-2a

12/-2(1)
x=-6

then plug into equation

-6^2+12(-6)+6

36-72+6=-30

(-6,-30)
8 0
3 years ago
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