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Lesechka [4]
3 years ago
7

A rubber ball has a radius of about 2.86 in. Can the ball be packaged in a box shaped like a cube with a volume of 125 in3?

Mathematics
1 answer:
Sonja [21]3 years ago
6 0

volume of the ball = 4/3 * PI *r^3 =

4/3 * 3.14 * 2.86^3 = 97.99 cubic inches

 this is less than the volume of the box, so yes it will fit

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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
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The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7

Slope (m) = \frac{5}{4}

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$\frac{5}{4}=\frac{r-1}{-7-(-15)}

$\frac{5}{4}=\frac{r-1}{-7+15}

$\frac{5}{4}=\frac{r-1}{8}

Do cross multiplication.

8 \times 5=4(r-1)

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

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Answer:

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Step-by-step explanation:

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3 years ago
You are studying for your final exam of the semester. up to this point,you recieved 3 exam scores of 83%,85%, and 84%. to reciev
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ruslelena [56]

Answer:

  no

Step-by-step explanation:

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Based on side lengths only, the triangles cannot be similar.

__

<em>Additional note</em>

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