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aliina [53]
3 years ago
12

A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the ne

arest hundredth. Use 3.14 to approximate pi.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\

r = 3.15 ft

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Phil played 50 games of football during the fall steven only played in half of those games how many football games did steven pl
olga_2 [115]

Answer:

25

Step-by-step explanation:

You need to find half of 50, the number of games that Phil played in. You can do this by dividing 50 by 2, which is equal to 25. Therefore, Steven played in 25 of those games.

3 0
3 years ago
Miss Kito’s car holds 18 gallons of gasoline. As she was driving, she noticed that the fuel gauge indicated that she had 1/5 of
jonny [76]

We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.

<h3>How much costs to fill the tank?</h3>

a) The car holds 18 gallons, and it has 1/5 of the tank remaining.

Then in the tank there are:

(1/5)*18 = 3.6 gallons.

Then we need 18 gal - 3.6 gal = 14.4 gal

And each gallon costs $2.70, then to fill the tank, Miss Kito needs:

(14.4)*$2.70 = $38.88

b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.

Then she needs:

\frac{364mi}{26 mi/gal} = 14 gal

To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.

If you want to learn more about algebra, you can read:

brainly.com/question/4344214

7 0
2 years ago
Write an equation of the line that passes through a pair of points:<br> (-5, - 2), (4, 5)
attashe74 [19]

Answer (<u>assuming it can be written in slope-intercept form)</u>:

y = \frac{7}{9} x+\frac{17}{9}

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(5)-(-2)}{(4)-(-5)} \\m  = \frac{5+2}{4+5} \\m = \frac{7}{9}

So, the slope is \frac{7}{9}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line. Substitute m, x_1, and y_1 for real values.

Since m represents the slope, substitute \frac{7}{9} for it. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (y = mx + b format) and find the following answer:

y-(5) = \frac{7}{9} (x-(4))\\y-5 = \frac{7}{9} (x-4)\\y -5=\frac{7}{9} x-\frac{28}{9}\\y = \frac{7}{9}  x-\frac{28}{9} +\frac{45}{9}\\y = \frac{7}{9} x+\frac{17}{9}

6 0
3 years ago
Convert the angle 3.5 radians to degrees, rounding to the nearest 10th.
Anvisha [2.4K]

Answer:

-200.5

Step-by-step explanation:

that’s just the right answer lol

5 0
3 years ago
Need help please 4x + Y = 1 <br> , x + 2y = 9 rewrite equation into slope intercept form (y=mx+b)
Nesterboy [21]

Answer:

  • Given and Explained Below.

Step-by-step explanation:

slope intercept form: y = mx + b ............where m is slope and b is y-intercept

<u>1st question:</u>

4x + y = 1

y = 1 - 4x

y = -4x + 1

<u>2nd question:</u>

x + 2y = 9

2y = 9 -x

y = (-x + 9)/2

y = -\frac{1}{2}x  + 4.5

5 0
3 years ago
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