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3 years ago

Can someone help me with this?

Mathematics

1 answer:

aivan3 [116]3 years ago

7 0

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

Given

Volume (v) = 57ft³

$v = \frac{4}{3} \pi {r}^{3}$

$57 = \frac{4}{3} \times 3.14 \times {r}^{3}$

$57 = \frac{12.56}{3} \times {r}^{3}$

$57 = 4.19 \times {r}^{3}$

${r}^{3} = \frac{57}{4.19}$

${r}^{3} = 13.6$

$r = \sqrt[3]{13.6}$

Therefore r = 2.4 ft

I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft

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Answer:

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t= No. of tokens James has.

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b = y-intercept.

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(0,20) (3,8)

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3 years ago

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Answer:

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Step-by-step explanation:

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Let the width of the rectangle = k meters

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Now, PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)

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3 years ago

The coordinates of polygon ABCD are A(-4,-1), B(-2,3), C(2,2), and D(4,-3). Use these coordinates to complete the sentences belo

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Answer:

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Step-by-step explanation:

The coordinates forming the polygon are

A (-4,-1), B(-2,3), C(2,2), and D(4,-3)

The perimeter then is given by the sum of the length of the sides as follows;

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Therefore, the length between points AB is

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Similarly, length BC is given by

Length BC = $\sqrt{(-4)^2+1^2} = \sqrt{17}$ = 4.123 units

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Length DA = $\sqrt{(8)^2+(-2)^2} = \sqrt{68}$ = 8.246 units

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= 4.472 + 4.123 + 5.385 + 8.246 = 22.227 units

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D(4, -3) → D'((4-1), (-3+2)) = D'(3, -1)

The length D'A = $\sqrt{(7)^2+(0)^2} = \sqrt{49}$ =7 units

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The area is given by the determinant of the 3 by 3 matrix using Cramer's Rule as follows

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= $(\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|$

Triangle ABC we have

A(-4,-1)

B(-2,3)

C(2,2)

$S_{{\bigtriangleup}ABC}$ = $(\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|$

$=(\frac{1}{2})|(-4)(3-2)+(-2)(2-(-1)) +2((-1)-3)|$

= $=(\frac{1}{2})|-4-6 -8|= 9 units^2$

Triangle ACD'

A(-4,-1)

C(2,2)

D'(3, -1)

$S_{{\bigtriangleup}ACD'}$ = $(\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|$

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Area of polygon ABCD' = 19.5 units².

8 0

3 years ago