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SVEN [57.7K]
3 years ago
6

Square root of 460 using prime factor​

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

√460 = 2√5√23

Step-by-step explanation:

              460  

           /         \

      230           2

     /      \

  2        115

         /       \

    5             23

460 = 2 * 2 * 5 * 23    so:

√460 = 2√5√23

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If f(n) = -6n + 2, find f (5/6)
joja [24]

f( \frac{5}{6} ) =  - 6( \frac{5}{6} ) + 2  \\ f( \frac{5}{6} ) = -  \frac{30}{6}  + 2 \\ f( \frac{5}{6} ) = - 5 + 2 \\ f( \frac{5}{6} ) = - 3
7 0
2 years ago
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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

R - radius

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

We have R = 7cm. Substitute:

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

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V=V_c+V_{hs}

Substitute:

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

7 0
2 years ago
For the following exercises, evaluate the expressions, given functions f, g, and h:
sertanlavr [38]

Answer:

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Step-by-step explanation:

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4f(2) - 4g(- 1)

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7 0
3 years ago
12men or 18women can reap a field in 14 day ,8man and 16women can reap the same field in​
melisa1 [442]

Answer:

Step-by-step explanation:

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104 balloons are pink so the percentage is 60% of the balloons are pink
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