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3 years ago

You and four friends go to a concert. in how many ways can you be seated

1 answer:

7 0

5 people
slot method
assuming 5 seats
5 choices for 1st seat
4 choices for 2nd
3 for 3rd
2 for 4th
1 for 5th

5*4*3*2*1=120

120 ways

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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:

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

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

Question 6 (4 points)

Kay [80]

Answer:

I believe it would be answer 2)

Step-by-step explanation:

The team has 4 players and the line graph starts at 5 increasing to 9

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3 years ago

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The figure is made up of 2 hemispheres and a cylinder. What is the exact volume of this figure? 126π in.³ 378π in.³ 396π in.³ 64

bogdanovich [222]

The two domes or hemispheres simply have the area of a complete sphere with the same diameter. So the total area is the area of a sphere and a cylinder...

as=(4p3^3)/3, ac=10p3^2

A= 36p+90p=126p in^3

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3 years ago

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Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in: 3 hours and 6 minutes

Blababa [14]

Answer:

just look it up lol

Step-by-step explanation:

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2 years ago

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The least common multiple of 24, 28 and 45 is:

lisabon 2012 [21]

Answer: 2520

Step-by-step explanation:

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2 years ago

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