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dem82 [27]
3 years ago
13

In the Volume of Cylinders, Cones and Spheres section, what is the volume of a sphere with a radius of 6in? *

Mathematics
1 answer:
Rudiy273 years ago
4 0

Answer:

The volume of the sphere is 288π in³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius

V = ⁴⁄₃πr³

V = ⁴⁄₃ * π * (6in)³

V = π * ⁴⁄₃ * 216 in³

V = 288π in³

The volume of the sphere is 288π in³

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Evaluate quantity the square root of 16 times 3 squared minus the cube root of negative 27 end quantity divided by 2 squared.
MrRissso [65]

Answer:

the perimeter of rectangle is 52cm if two adjacent sides are (2×+3)cm and (×+5)cm

8 0
1 year ago
Read 2 more answers
Explanation would be appreciated. i don’t understand
katen-ka-za [31]

Answer:

28\sqrt{3}

Step-by-step explanation:

The area of the big triangle is 1/2 b h =  1/2*6*(12^2 = 6^2 + x^2)

that ends up being \sqrt{108}  = 36\sqrt{3}

the small triangle are needs to be subtracted....

\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)} that is the length of the unknown side...

1/2 B * h of that triangle get you to 8\sqrt{3}

just subtract the two areas

5 0
3 years ago
Read 2 more answers
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this
Rasek [7]

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that \mu = 328, \sigma = 82

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

Z = \frac{X - \mu}{\sigma}

0 = \frac{X - 328}{82}

X - 328 = 0*82

X = 328

The cut-off dollar amount is $328.

7 0
2 years ago
HELP PLEASE<br> Use elimination to solve the system of equations<br> 2x + 3y = 9 <br> x + 5y = 8
ikadub [295]

Answer:

y=5/7   x=31/7

Step-by-step explanation:

Make the x values the opposite of each other:

-2(x+5y=8)

-2x-10y=-16

2x+3y=9

Combine like terms and solve for y:

-7y=-5

y=5/7

Plug y in to find x.

x+5(5/7)=8

x+25/7=8

56/7-25/7=x

x=31/7

5 0
3 years ago
Need help.
aev [14]

Answer:

1. y= 3x+7

2.y=1/2 x -1

Step-by-step explanation:

1.

Parallel lines have the same gradient.In the equation given,

y= 3x+5 , the slope is 3

So now, you find the equation of a line passing through point (-1,4) with m=3

m=Δ y/Δx

3= y-4/ x--1

3= y-4 /x+1

3(x+1) = y-4

3x+3 =y-4

3x+3+4=y

⇒⇒ y= 3x+7   is the equation.

2.

Two lines that are perpendicular to each other have the product of their slopes to be -1

Given equation to be y= -2x +8 then, m₁ = -2

Finding m₂ will be;

m₁ *m₂ = -1

-2 * m₂ = -1

-2 m₂ = -1

m₂ = -1/-2 = 1/2

So writing the equation of the perpendicular line with m₂ =1/2 , point (-4,-3)

will be;

m=Δy/Δx

1/2=y--3/x--4

1/2 = y+3/x+4

x+4 = 2( y+3)

x+4 = 2(y+3)

x+4 =2y+6

x+4-6=2y

x-2=2y

x/2 -2/2=y

y=1/2 x -1   is the equation.

5 0
3 years ago
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