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2 years ago

sphere a has radius 4 and a hemisphere b has a radius 8. fin the ratio of the volume of A to the volume of b

Mathematics

1 answer:

salantis [7]2 years ago

4 0

Answer:

A/B = 0.125

Step-by-step explanation:

Givens

r for Sphere A = 4

r for Sphere B = 8

Solution

Volume A = 4/3 pi r^3

r = 4

Volume A = 4/3 pi 4^3

Volume A = 4/3 pi 64

Note: there is no point in expanding the result. 4/3 and pi are going to cancel out when you set up the volume formula

Volume B = 4/3 pi * r^3

r = 8

Volume B = 4/3 pi * 8^3

Volume B = 4/3 pi * 512

Ratio A to B = 4/3 pi * 64 / 4/3 * pi * 512 Cancel 4/3 pi

Ratio A to B = 64/512

Ratio A to B = 1/8

Ratio A to B = 0.125

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Jessica earned $14 by baby sitting 4 hours<br> What's Jessica rate and Jessica's Unit Rate?

Fofino [41]

Answer:

$3.50

Step-by-step explanation:

14 ÷ 4 = 3.5

<em>good luck, i hope this helps :) </em>

5 0

3 years ago

Is 3/4 greater or less than 1/4

Ivahew [28]

3/4 is greater than 1/4! Imagine a cake with four slices in it, would you rather eat one slice out of four or three slices out of four? Three slices out of four is more than just one slice, and the more the cake the better~ Hope this helps! c:

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4 years ago

Read 2 more answers

A man and a woman agree to meet at a certain location about 12:30 pm. If the man arrives at a time uniformly distributed between

dimaraw [331]

Explanation.

The question is incomplete. However, the complete part of the question simply states that: What is the probability that the man arrives first?

Answer:

Therefore, we can say that the probability that the man will arrive first is half that is 1/2 while the probability that no one will wait more than five times is 1/6

Step-by-step explanation:

We assume the man and the woman arrive at 12:X and 12:Y respectively (1:00 is 12:60). Also, the space of X and Y are [15, 45] and [0, 60] respectively, and fₓ (x) ≡ 1 / (45 − 15) = 1/30, fy (y) ≡ 1 / (60 − 0) = 1 / 60.

So the joint pdf of X and Y is

f(x, y) = 1 / 30 x 1 / 60

= 1 / 1800

where ( x , y ) ∈ [15, 45] × [0, 60].

Consequentially,

P(| X − Y | ≤ 5) = ∫ Iim (45)(15) ∫ lim (x+5)(x-5) f (x,y)dydx

= 1 / 1800 ∫ Iim (45)(15) y | ₓ₋₅ˣ⁺⁵ dx

= 30 x 10 / 1800

300 / 1800

= 1 / 6

Hence,

P( X < Y ) = ∫ Iim (45)(15) ∫ lim (60)(x) f (x,y) dydx

= 1 / 1800 ∫ Iim (45)(15) y | ⁶⁰ₓ dx

= 1 / 1800 ∫ Iim (45)(15) ( 60 - x ) dx

= 60 x − x ²/2 ÷ 1800 ║⁴⁵₁₅

= 1 / 2

8 0

3 years ago

Read 2 more answers

The diagram shows an awning on the front of a building. The top of the awning makes a 40° angle with the building. The base of t

slamgirl [31]

Answer:

Height of the awning = 9.52 feet

Step-by-step explanation:

For better understanding of the solution, see the attached diagram of the problem :

According to the figure, AB is the height of the awning

Now, the base of awning will be perpendicular to the building

⇒ m∠ABC = 90°

In ΔABC, By using angle sum property of a triangle

m∠ABC + m∠ACB + m∠BAC = 180°

⇒ m∠ACB = 50°

$Now,\tan 50=\frac{Perpendicular}{Base}\\\\tan 50=\frac{AB}{8}\\\\\implies AB=8\times \tan 50\\\\\bf\implies AB=9.52 \textbf{ feet}$

Hence, Height of the awning = 9.52 feet

5 0

3 years ago

Someone please help these practice problems are hard

mr Goodwill [35]

Rewrite the equation in slope-intercept form:

9x - 7y = 21

-7y = -9x + 21

y = (9/7)(x) - 3

The y-intercept is where x = 0.

y = (9/7)(0) - 3

y = 0 - 3

y = -3

The x-intercept is where y = 0.

0 = (9/7)(x) - 3

3 = (9/7)(x)

21 = 9x

x = 21/9

x = 7/3

The correct answer would be C. The x-intercept would be at (7/3, 0) and the y-intercept at (0, -3). Hope that helps! :)

7 0

4 years ago