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Tatiana [17]
4 years ago
15

A sphere has a surface area of 36 pi. find the volume of the sphere

Mathematics
1 answer:
Vesna [10]4 years ago
3 0
V ≈ 20.31

V=  \frac{A^{3/2} }{6 \sqrt{ \pi } } =  \frac{36^{3/2} }{6 \sqrt{ \pi } } = 20.31083
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What is 2Log5(5x^3)+1/3log5(x^2+6 written as a single logarithm?
AveGali [126]

An important rule of logs is a*log b = log b^a.

Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or

(log to the base 5 of ) (25x^6).

Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).

Here, the addition in the middle of the given expression indicates multiplication:

2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.

Here we've expressed the given log quantity as a single log.

5 0
4 years ago
Read 2 more answers
Can anybody help me out here it’s pre alegbra
lora16 [44]

Answer:

15 km

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2

Draw a triangle with 12 for x direction and 9 for y direction

The distance is the connecting line which is the hypotenuse

12^2 + 9^2 = c^2

144+81 = c^2

225 = c^2

Taking the square root of each side

sqrt(225) = sqrt(c^2)

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5 0
3 years ago
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√125<br><br>A- 5√5<br><br>B- 2√3<br><br>C- 3√2<br><br>D- 3√3<br><br>and why ​
Doss [256]

Answer:

the correct answer is A.5√5

7 0
3 years ago
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 custom
Art [367]

Answer:

I would expect 1 person to want mustard.

Explanation:

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4 0
3 years ago
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In the figure BE||CD solve for x. Show work
nataly862011 [7]

Answer:

The value of x = 15.

Step-by-step explanation:

Given:

BE || CD

AE = 9

ED = 6

AB = x

BC = 10

To Find;

AB = x = ?

Solution:

BE || CD ......................{Given}

Basic Proportionality Theorem:

If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

i.e

\frac{AE}{ED} =\frac{AB}{BC}...........{Basic Proportionality Theorem}

Substituting the given values we get

\frac{9}{6} =\frac{x}{10}\\\therefore x = 10\times \frac{9}{6}\\\therefore x = \frac{90}{6}\\\therefore x = 15

The value of x = 15.

5 0
3 years ago
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