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gladu [14]
3 years ago
14

Question 3 (1 point)

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

The answer to your question is (4, 6)

Step-by-step explanation:

Data

E ( 9 , 7 )

F ( - 1, 5)

Formula

Xm = \frac{x1 + x2}{2}

Ym = \frac{y1 + y2}{2}

Substitution and simplification

Xm = \frac{9 -1}{2}

Xm = \frac{8}{2}

      Xm = 4

Ym = \frac{7 + 5}{2}

Ym = \frac{12}{2}

      Ym = 6

Result

            (4 , 6)  

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2 years ago
Work out the volume of the shape​
pashok25 [27]

Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

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Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

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V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

7 0
3 years ago
Suppose that f(x) = x2 and g(x) = 2/5 x2. Which statement best compares the
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Quotient means were dividing, so divide 900.37 by 28.9

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The estimated quotient of 900.37 and 28.9 is 30.

Hope this helps!

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3 years ago
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