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Romashka [77]
3 years ago
9

A sphere has a diameter of 12.5 inches. What is the surface area of the sphere? 50π in² 156.25π in² 625π in² 2604.17π in²

Mathematics
1 answer:
Advocard [28]3 years ago
3 0
Hello!

To find the surface area of a sphere you use the equation

A = 4 \pi  r^{2}

A is surface area
r is radius which is half the diameter

Put in the values you know

A = 4 \pi 6.25^{2}

Square the number

A = 4 \pi 39.0625

Multiply the 4 and the 39.0625

A = 156.25 \pi

The answer is B) 156.25 \pi  in^{2}

Hope this helps!
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Savatey [412]
Let's do this using the process of elimination. Since you didn't include choice D, we can only use A, B, and C.
     C: If we're finding the width of the patio, how is the thickness of the tiles going to help? C is wrong.
     A: We already know the area (72), so how does knowing the perimeter help us? All we know using that information is that 2 pairs of numbers give us the perimeter & also multiply to get 72. But not <em>which</em> 2. A is wrong.
     B: Pay more attention to the last part of B... "the length". Well, if we have the area (72), and we have the length, then we can do area/length-width to find the width. B is correct!
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</em><em><u /><u>Don't forget to rate this answer the </u><u>Brainliest</u><u>!</u></em>

4 0
3 years ago
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What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Hunter-Best [27]

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

8 0
3 years ago
Help w this pls it would save me<br> Pleasereeee
elena55 [62]

Answer:

0.6 over 0.6. Or just 1.

Step-by-step explanation:

5 0
2 years ago
Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi
ANEK [815]

Answer:

They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

5x+4y=38\ \ \ \ \ equation\ 1

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

4x+2y=28\ \ \ \ \ equation\2

Now multiplying equation 2 by '2', we get;

2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3

Now we subtract equation 1 from equation 3 and get;

(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6

Now substituting the value of 'x' in equation 1, we get;

5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2

Hence They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

8 0
3 years ago
A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.
liberstina [14]

<u>Answer:</u>

A building makes a 90^{\circ} angle with the ground .The two interior angles are 70^{\circ} and 20^{\circ}

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of 110^{\circ}

And building makes a  90^{\circ} angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.  

Now, we know that, sum of exterior angles and interior angles equals to 180^{\circ}

Here, in the case of ground and ladder, exterior angle is 110^{\circ} and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = 70^{\circ}

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = 20^{\circ}

Hence the two interior angles are  70^{\circ} and 20^{\circ}

7 0
3 years ago
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