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Sloan [31]
3 years ago
13

What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π.

Mathematics
2 answers:
butalik [34]3 years ago
7 0
Volume of a sphere/ball = 4/3 * pi * (d/2)^3
                                       =4/3 * pi * 3^3
                                       =36 pi cu.in.

Sergeeva-Olga [200]3 years ago
4 0
Vsphere=(4/3)pir^3

d/2=r
d=6,
6/2=3=r


Vsphere=(4/3)pi(3^3)
Vsphere=(4/3)pi(27)
Vsphere=36pi cubic inches

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What is the numerator of the fraction equivalent to 24/120 that has a denominator of 20?
adelina 88 [10]

Answer: 4

Step-by-step explanation:

120/20= 6

24/6= 4

6 0
3 years ago
Find the length of the leg of a right triangle with leg length b= 21.5 inches and the hypotenuse c= 31.9 inches. Use a calculato
sweet [91]

Answer:

23.6 (approximate value)

Step-by-step explanation:

  • a*a+b*b=c*c Pythagorean thereom
  • (21.5)^2 + b*b = (31.9)^2
  • b*b= 1017.61 - 462.25
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What's the common difference 6.5,5,3.5,2,
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8 0
3 years ago
Does 23^-1 (mod 1000) exist? If yes solve it.
sweet [91]

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let <em>x</em> be the inverse. Then <em>x</em> is such that

23<em>x</em> ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for <em>x</em> :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

3 0
3 years ago
At the store, you buy a backpack for $30.42, a binder for $9.89 and a combination lock for $5.75. If you give the cashier $50.00
Shkiper50 [21]

Answer:

$3.94

Step-by-step explanation:

$30.42 + $9.89 + $5.75 = £46.06

$50.00 - $46.06 = $3.94

7 0
3 years ago
Read 2 more answers
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