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Snowcat [4.5K]
1 year ago
13

Given the volume is 105 inches³ for an 8 pound bowling ball, find the radius of the bowling ball,

Mathematics
1 answer:
mariarad [96]1 year ago
7 0

Answer:

2.92

Step-by-step explanation:

V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}}  \\ \\ r \approx 2.92

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Find the missing side lengths. Leave your answers as radicals in simplest form.
Leto [7]

9514 1404 393

Answer:

  • x = 18
  • y = 9

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

4 0
2 years ago
Identify two ordered pairs below that would form a direct variation:
Aleks [24]

Answer:

(12,3) and (20,5)

Step-by-step explanation:

When using the direct variation equation we can check these by division and we get .25 for the answer of both.

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3 0
2 years ago
Debra can run 20.5 miles in 2.5 hours how many miles per hour can she run math problems
pashok25 [27]
She can run 20.5/2.5 equaling 8.2mph
7 0
3 years ago
Please answer it now in two minutes
harkovskaia [24]

Answer:

3.6

Step-by-step explanation:

Pythagorean theorem:

a^2 + b^2 = c^2

(6 km)^2 + b^2 = (7 km)^2

36 + b^2 = 49

b^2 = 13

b = sqrt(13)

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Answer: 3.6 km

8 0
3 years ago
The rectangles shown below are similar figures. Use the properties of similar figures to solve for the value of s.
Sergeu [11.5K]

Answer:

s = 3

Step-by-step explanation:

we know the rectangles are similar

2 × __ = 16

s × __ = 24

so,

16÷2 = 8

2 × 8 =16

s × 8 =24

then,

24 ÷ 8 = s

3 = s

2 × 8 = 16

3 × 8 =24

hoped i helped :)

8 0
3 years ago
Read 2 more answers
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