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rjkz [21]
3 years ago
9

What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest

Mathematics
2 answers:
Mandarinka [93]3 years ago
6 0

Answer:

32.0 cm

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

r = cube root (Volume * 3/2 * 1/π )

r = cube root ( 8514 * 3/2 * 1/π)

r = 15.96

in the nearest tenth r = 16.0 cm

D= 2r

D= 2(16)

D= 32cm

stich3 [128]3 years ago
4 0

Answer: 31.9 cm

Step-by-step explanation:

Got it from deltamath so it's right

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All 4 questions please
scZoUnD [109]

Answer:

  1. π = S/2πrh
  2. v = √2E/m
  3. b = (-7a+c)/2
  4. x =3y-1

Step-by-step explanation:

1.

S = 2\pi rh\\Divide\:both\sides\:of\:the\:equation\:by\:2rh\\\\\frac{S}{2rh} = \frac{2 \pi rh}{2 rh} \\\\\pi = \frac{S}{2rh}

2.

E = \frac{1}{2} mv^2\\\\E = \frac{mv^2}{2} \\\\Cross\:multiply\\\\2E =mv^2\\Divide\:both\:sides\:of\:the\:equation\:by\:m\\\frac{2E}{m} = \frac{mv^2}{m} \\\\\frac{2E}{m} =v^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{\frac{2E}{m} } = \sqrt{v^2} \\\\\sqrt{\frac{2E}{m} } =v\\\\v =\sqrt{\frac{2E}{m} }

3.

7a+2b =c\\Isolate\:b\\\\2b =c-7a\\2b= -7a+c\\Divide\:both\:sides\:of\:the\:equation\:by \:2\\\frac{2b}{2} =\frac{-7a+c}{2} \\\\b = \frac{-7a+c}{2}

4.

y = \frac{1}{3} (x+1)\\\\y = \frac{x+1}{3}\\\\Cross\:multiply \\3y =x+1\\Isolate \:x\\3y -1=x\\\\x =3y-1

7 0
3 years ago
Find the slope of -10x + 2y = 8 using slope intercept form
Elodia [21]

Answer:

you subtracted 2y from both sides to each side getting 2y = 10x +8

Step-by-step explanation

8 0
3 years ago
Read 2 more answers
The Pythagorean theorem is a formula used in solving for missing side lengths of a(n) ______ triangle.
sweet-ann [11.9K]
The correct answer would be a Right triangle
6 0
3 years ago
Read 2 more answers
Find the measure of side XY.
Ymorist [56]

Answer:

XY = 18

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

\frac{XY}{BC} = \frac{YZ}{CD} , substitute values

\frac{XY}{12} = \frac{15}{10} ( cross- multiply )

10 XY = 180 ( divide both sides by 10 )

XY = 18

4 0
3 years ago
5.5(x+6 1/2)-(x+9 1/3)-(19-x)
anastassius [24]

The simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12

<h3>What is the simplified form of the expression</h3>

Given the expression;

5.5(x+6 1/2) - (x+9 1/3) - (19-x)

First, we convert 6 1/2, 9 1/3 and 5.5 to an improper fraction

6 1/2 = 13/2, 9 1/3 = 28/3 and 5.5 = 11/2

So, we have

(11/2)( x + 13/2 ) - ( x + 28/3 ) - ( 19 - x )

Next, we remove the parentheses

11x/2 + 143/4 - x - 28/3 - 19 + x

11x/2 + 143/4 - 28/3 - 19

11x/2 + 317/12 - 19

11x/2 + 89/12

Therefore, the simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12.

Learn more about fractions here: brainly.com/question/28039882

#SPJ1

3 0
2 years ago
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