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Olenka [21]
3 years ago
13

If a basketball has a volume of 12,114.7 cm3, what is the distance across of a basketball

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0


All we need to do is start with the volume formula. Then, input the volume and solve the equation for the radius. And double it to get the diameter.

V = (4/3)pi(r^3)
12114.7 = (4/3)pi(r^3)  Divide both sides by (4/3) and pi
2893.64 = r^3              Take the cube root of both sides
14.25 = r

So the diameter is about 28.5 cm (14.25 x 2 = 28.5)
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Choose the graph which represents the solution to the inequality:<br> 3x + 8 ≥ 11
Mashutka [201]

The solution of the inequality is x ≥ 1.

Solution:

Given inequality:

3 x+8 \geq 11

To find the solution of the inequality:

3 x+8 \geq 11

Subtract 8 from both sides.

3 x+8-8 \geq 11-8

3 x \geq 3

Divide by 3 on both sides.

$\frac{3 x}{3} \geq \frac{3}{3}

On simplifying this, we get

x \geq 1

The solution of the inequality is x ≥ 1.

The graph of the solution is attached below.

8 0
3 years ago
Alyssa rode her bike 14.2 miles in 0.8 hours. what is the average number of miles she rode per hour​
Delvig [45]

Answer:

17.75 miles per hour

Step-by-step explanation:

14.2 divided by 0.8

3 0
3 years ago
Read 2 more answers
PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
earnstyle [38]

\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


so the slope of that line above is really -4/3, now


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}

6 0
3 years ago
Find the molar mass in grams of <br> CaSO4 * 2H20<br> grams
adoni [48]

Answer:

172 g/mol

Step-by-step explanation:

CaSO4 . 2H2O

Atomic mass of

Ca = 40

S = 32

O = 16

H = 1

Molar mass = 40 + 32 + (16×4) + 2{(1×2)+16}

= 72 + 64 + 2(18)

= 136 + 36

= 172 g/mol

4 0
3 years ago
The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original n
muminat

Answer:

Original number is 47

Step-by-step explanation:

Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.

To find: the original number

Solution:

Let x denotes digit at ones place.

As the tens digit is three less than the units digit,

Digit at tens place = x-3

Original number = 10(x-3)+x=11x-30

When digits are reversed,

Reversed number = 10x+(x-3)=11x-3

As the sum of the reversed number and the original number is 121,

11x-30+11x-3=121\\22x-33=121\\22x=154\\x=\frac{154}{22}\\=7

So,

original number = 11x-30=11(7)-30=77-30=47

8 0
3 years ago
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