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Basile [38]
3 years ago
13

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t:
x^2 + 4x + y^2 − 6y = −4
Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

Circle with center at (-2,3) and radius r=3.

Step-by-step explanation:

Rewrite equation in standard form.

(x-a)^2+(y-b)^2=r^2

(x-(-2))^2+(y-3)^2=3^2

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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
2 years ago
These data represent the volumes in cubic yards of the largest dams in the united states and in South America. Construct a boxpl
Vsevolod [243]

Answer:

Check it below

Step-by-step explanation:

1) The Boxplot is a visual tool to easily find the quartiles of a Distribution. To construct a boxplot it's necessary to organize the data, find at least the upper (3rd Quartile) and lower quartile (1st Quartile), and register the maximum and the minimum value.

2) This graph confirms that the South American ones have much more water than the North American counterparts. Notice the Upper Quartile, (the top of the box) for the Southern ones, it's over 100,000 yrds³. And Compare to the Northern one.

4 0
3 years ago
Yummy cinnamon! It smells so nice! Mr. Liz needs 5 %2 teaspoons of cinnamon to make one
dusya [7]

Answer:

Step-by-step explanation:

2 loaves × (5½ teaspoons)/loaf = 11 teaspoons

He needs 11 teaspoons of cinnamon to make two loaves.

1/11 of 11 teaspoons = 1 teaspoon

He puts 1 teaspoon of cinnamon into his tea.

5 0
3 years ago
ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
antoniya [11.8K]

Answer:

C.13

Step-by-step explanation:

3 0
2 years ago
What is the value of x in the diagram below?
viva [34]
X= 105
explanation:
45+30=75
180-75= 105
4 0
2 years ago
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