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Anuta_ua [19.1K]
3 years ago
12

A cylinder of height 16 is inscribed in a sphere of radius 10. What is the radius of the cylinder?

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Answer:

6

Step-by-step explanation:

10² = r² + 8²

100 = r² + 64

r² = 36

r = 6

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There are 15 copies of a popular cd left to be sold in the store this is between 1% and 1.5% of the original number of copies of
Triss [41]

Answer: The original number of CDs is between 1000 and 1500.

Step-by-step explanation:

Since we have given that

Number of copies of a popular CD left to be sold in the store = 15

According to question, this is between 15 and 1.5% of the original number of copies of the CD in the store.

Let the original number of copies of the CD in the store be 'x'.

Now, 15 is equal to 1% of the original number of copies of the CD, it becomes

1\%\ of\ x=15\\\\\frac{1}{100}\times x=15\\\\x=15\times 100\\\\x=1500

Or if 15 is equal to 1.5% of the original number of copies of the CD, it becomes

1.5\%\ of\ x=15\\\\\frac{1.5}{100}\times x=15\\\\\frac{15}{1000}x=15\\\\x=\frac{15\times 1000}{15}\\\\x=1000

Hence, the original number of CDs is between 1000 and 1500.

3 0
3 years ago
What is the solution to this system of equation?<br><br> x=2y-4<br> 7x+5y= -66
mina [271]

Answer:

Step-by-step explanation:

oh gosh

im sorry but idk how to solve that, mabye if i say you are smart you will be motivated?

8 0
3 years ago
Read 2 more answers
A recent physical inventory at a department store reports a merchandise value of $875,435. The merchandise book value was $907,3
Vlad [161]

Answer:

The shrinkage as a percentage of sales is 1.6%.

Step-by-step explanation:

In order to find the percentage of the sales that can be contributed to shrinkage, we first need to find the amount of shrinkage between the book value ($907,340) and the physical inventory ($875,435).  The difference between these two values is $31,905.  With this value of shrinkage, I then divide by the total amount in sales, which is $1,988,345.  This would give me an overall percentage of 1.6%, which represents the shrinkage as a percentage of sales.  

5 0
3 years ago
If f(x) = 4x + 8 and g(x) = (x+4,<br> what is (fºg)(12)?
svetlana [45]

Answer:

72

Step-by-step explanation:

f(x) = 4x+8\\g(x) = x + 4\\\\1. f(g(x)) = 4(x+4) + 8\\2. f(g(x)) = 4x + 16 + 8\\3. f(g(x))=4x + 24\\\\4. f(g(12)) = 4(12) + 24\\5. f(g(12)) = 48 + 24 = 72\\

To do these, you have to place the entire function inside the parent function's variables.

You are inputting the value of the function g(x) into f(x)

4 0
3 years ago
The 100th term of ​ 70, 100, 130
fgiga [73]

Answer:

3040

Step-by-step explanation:

given arithmetic progression is

70,100,130,...

here

first term (a)=70

common difference (d)=100-70=30

number of term n=100

using the formula of arithmetic progression

an=a+(n-1)d

a100=70+(100-1)30

a100=70+99×30

a100=70+2970

a100=3040

6 0
2 years ago
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