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3 years ago

Please help as soon as possible

Mathematics

2 answers:

Temka [501]3 years ago

6 0

24 MM(is the answer for your question!)

Zolol [24]3 years ago

5 0

Answer:

Diameter = 24 mm

Step-by-step explanation:

Volume of a sphere is 4/3 π $r^{3}$

First, we solve for radius:

2304π = 4/3π $r^{3}$

Multiply both sides by 3

3(2304π) = 4π $r^{3}$

Divide both sides by 4π

6912π/4π = $r^{3}$

1728 = $r^{3}$

Cuberoot both sides

$\sqrt[3]{1728}$ = r

r= 12

Hence, the diameter would be: 2times the radius = 2*12= 24 mm

Hope this helps!

Please mark brainliest if you think I helped!

Would really appreciate!

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100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

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3 years ago

Convert 17 years into minutes

Setler79 [48]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

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3 years ago

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omeli [17]

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2 years ago

Emma has 53 marbles.she gets some marbles from Fred.then she gives 10 marbles to tessie.she now has 58 marbles how many marbles

nata0808 [166]

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3 years ago