If a woman making $33,000 a year receives a cost-of-living increase of 2.5%, what will her new salary be?

One gallon of paint covers 400 square feet of surface area. A typical spherical water tower holds 66,840.28 cubic feet of water.

fredd [130]

Answer:

They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.

Step-by-step explanation:

In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area. Since they give us the volume, we can use that to solve for the radius using the volume formula: V = πr³ or 66840.28 = πr³. Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³. In order to find 'r', take the cube root of both sides: ∛15965 = ∛r³ or r ≈ 25.

Now that you know radius = 25, you can use the formula for surface area: SA = 4πr² or 4π(25)² ≈ 7850 ft². Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons: 7850 ÷ 400 ≈ 19.6. In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.

3 0

3 years ago

Dan Perkins goat is attached to the corner of the 8-foot-by-4-foot pump house by QN 8-foot length of rope. The goat eats the gra

SashulF [63]

The goat is tied in the four corners of an 8-foot by 4-foot pump house. The rope is 8 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 8 and 1/4 of a circle radius 4.

Getting the area of radius of 8 feet
Area = pi * r^2
Area = pi * 8^2
Area = 201.06 feet^2

Getting the area of radius of 4 feet
Area = pi * r^2
Area = pi * 4^2
<span>Area = 50.27 feet^2
</span>
3/4 of 201.06 = 150.80 feet ^2
1/4 of 50.27 = 12.60 feet^2

So the total area is 153.40 feet^2

8 0

3 years ago

A whole number is squared. The result is between 200 and 260. The number is between:

Anton [14]

Answer:

B

Step-by-step explanation:

b is correct

7 0

2 years ago

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t

yan [13]

A = LW + 0.5bh
0.5bh = A - LW
b = (A - LW) / 0.5h

Its B

Note to avoid ambiguity its better to put the A - LW in parentheses

8 0

3 years ago

to start to solve the system of equations below, which number would you multiply in the equation -2x-5y=-1? The two equations ar

Leviafan [203]

Answer:

The first equation can be multiplied by 2.

Step-by-step explanation:

The x-coefficients are -2 and 4. If the first one of these is multiplied by 2, it will be the opposite of the second of these. That is 2·(-2) = -4. When -4 and 4 are added, the result is 0, so the x-variable will be eliminated.

To solve these equations by "elimination", you look for simple relationships between the coefficients that will let you combine them to get zero.

_____

Here's the rest of the solution.

2(-2x-5y) +(4x+2y) = 2(-1) +(8) . . . . after multiplying the first equation by 2 and adding the second equation

-4x -10y +4x +2y = -2 +8 . . . . . the result of eliminating parentheses

-8y = 6 . . . . . the result of collecting terms

y = -6/8 = -3/4 . . . . divide by the y-coefficient

Since all of the coefficients in the second equation are even, a factor of 2 can be removed, and the equation written as ...

2x +y = 4

This can be solved for x, so you have ...

x = (4 -y)/2 = 2 -(y/2)

Filling in the above value of y, we find x to be ...

x = 2 -(-3/4)/2

x = 2 3/8

_____

<em>Comment on eliminating y instead of x</em>

If you divide the second equation by 2 so that y has a coefficient of 1, then you can multiply this equation by 5 to give y a coefficient that is the opposite of the coefficient -5 in the first equation. Then the elimination looks like

(-2x -5y) +5(2x +y) = (-1) +5(4)

-2x -5y +10x +5y = -1 +20 . . . . eliminate parentheses

8x = 19 . . . . simplify

x = 19/8 = 2 3/8 . . . . divide by the coefficient of x

5 0

3 years ago