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otez555 [7]
2 years ago
13

2. Find the volume of the sphere.

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

Answer:

V= 113.1

Step-by-step explanation:

V=4/3πr^3=4/3·π·3^3≈ 113.09734

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The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where w is the width and l is the length.

The perimeter of a rectangle is twice its length added to twice its width.

2l+2w=22

The length is 3 more than the width:

l = w+3

We can now substitute in w+3 as l in the equation 2l+2w=22.

2(w+3) + 2w = 22

Distribute the first terms:

2w+6+2w=22

Combine like terms:

4w+6=22

Subtract 6 from both sides:

4w=16

Divide both sides by 4:

w = 4

Now we know that w = 4. We can now substitute this inside an equation to find l.

l = w+3\\\\l = 4+3\\\\l=7

Hope this helped!

7 0
3 years ago
Hey alexis bruh rat rat rat
Oksanka [162]

Answer:

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Step-by-step explanation:

5 0
3 years ago
You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up 9.5% per year. What would b
uranmaximum [27]

Answer:

  $2076.30

Step-by-step explanation:

In the n-th year, the rent will be ...

  an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase

  an = 1100·(1.095^(n-1))

Then the rent in the 8th year is ...

  a8 = 1100·(1.095^(8-1)) ≈ 2076.30

The rent in the 8th year would be $2076.30.

8 0
2 years ago
Help me plzz!!!!!!!!!!!!!!!!!!!!!!!!!!
NemiM [27]

9514 1404 393

Answer:

  162 degrees

Step-by-step explanation:

Angles P and F are supplementary, so ...

  3x^2 +12x = 180

  x^2 +4x = 60

  x^2 +4x -60 = 0

  (x +10)(x -6) = 0

The useful value of x that makes this true is x=6.

The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:

  ∠S = 180° -18° = 162°

5 0
3 years ago
3. A basket of beads contains 8 red beads, 6 yellow beads, and 6 green beads. A
Ipatiy [6.2K]

Answer:

A) 45

Step-by-step explanation:

P(green) = 6/20

6/20 = x/150

20x = 900

x = 45

7 0
2 years ago
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