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3 years ago

Find the surface area of the sphere.

Mathematics

2 answers:

crimeas [40]3 years ago

5 0

Answer:

256π sq. in.

Step-by-step explanation:

fenix001 [56]3 years ago

4 0

Answer:

804 in^2

Step-by-step explanation:

The surface area of a sphere is given by A = 4πr^2, where r is the radius of the sphere.

Here, A = 4π*8^2 in^2 (must use units of measurement)

=256π in^2, or approximately 804 in^2

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What is the slope of a line that is perpendicular to the

alexgriva [62]

Answer:

The slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Step-by-step explanation:

From the line equation, let us take two points

(0, 2)

(4, 1)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)$

$m=\frac{1-2}{4-0}$

$m=-\frac{1}{4}$

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

$-\frac{1}{-\frac{1}{4}}=4$

Thus, the slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

5 0

3 years ago

The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o

11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

7 0

2 years ago

The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.

igor_vitrenko [27]

Well the opposite of a square is a square root so it would be s=[square root of]60

4 0

3 years ago

Read 2 more answers

Help pls!!! Which of the graphs correctly shows the set {-7, -2, 7}?

stepladder [879]

D

Explanation: The points here are all put correctly on the graph in graph D so that is the most accurate representation

5 0

3 years ago

Read 2 more answers

Justin and Tyson are beginning an exercise program to train for football season and want to build muscle. Justin weighs 150 poun

MaRussiya [10]

Answer:

At 15 weeks they will both weigh 180

Step-by-step explanation:

150 + 2w = 195 - w

2w + w = 195 - 150

3w = 45

w = 45/3

w = 15 <=== they will weigh the same at 15 weeks

150 + 2(15) = 150 + 30 = 180...and they will both weigh 180 lbs

I hope this helps you :)

5 0

3 years ago