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Pavel [41]
3 years ago
13

6. What is the approximate volume of the cone? Use for a T. 3cm 14 cm

Mathematics
1 answer:
Tomtit [17]3 years ago
6 0
If 3cm is the radius and 14cm is the height, the volume would be 131.95cm^3. In terms of pi it would be 9pi(14/3).
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To find the difference you would need to make the denominator equal so I changed it to 15 and the difference would be 7/15  
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Translate the phrase into an algebraic expression ​
Sholpan [36]

Answer:

9 × c or 9c

Step-by-step explanation:

Product means multiplication so the answer would be 9 × c. Since there is a variable, the answer doesn't even need the multiplication sign, but it is fine either way.

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3 years ago
I am confused in these problems ?<br>8. 9.
Liula [17]

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.

5 0
2 years ago
There is a sales tax of $8 on an item that costs $82 before tax. A second item costs $123 before tax. What is the sales tax on t
ser-zykov [4K]
To find the tax rate, you would need to find that 8 is 8/82≈.0976, or 9.76% of 82. Then use that to multiply by 123, which would be $12.

Another way is that you realize 82 is 2/3 of 123, so the tax would be 2/3 of what tax for $123 would be. So 8=2/3(x), and x=12.
6 0
3 years ago
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