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Eduardwww [97]
3 years ago
14

What is the total surface area of a sphere if its radius is 6m?

Mathematics
2 answers:
Alexus [3.1K]3 years ago
7 0
The answer is 452.16
Agata [3.3K]3 years ago
5 0

Answer:

452.16 m^2

Step-by-step explanation:

The surface area of a sphere is given by

A=4πr^2

  = 4 * π * ( 6)^2

  = 4 * π *36

   144 π

Letting pi = 3.14

A is approximately 452.16 m^2

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Jocelyn just accepted a job at a new company where she will make an annual salary of $70000. Jocelyn was told that for each year
Oksanka [162]

Answer:

$80,500

55,500 + 1,500t

Step-by-step explanation:

The question is an arithmetic progression series

Where,

a= first term

d= common difference

n= number of terms

a = $70,000

d= $1,500

n= 8 years

8th term = a + (n-1) d

= 70,000 + (8-1)1500

= 70,000 + 7(1500)

= 70,000 + 10,500

= $80,500

Jocelyn salary after 8 years is $80,500

Solve for when n = t

t th term = a + (n-1)d

= 70,000 + (t - 1)1500

= 70,000 + 1,500t - 1,500

= 55,500 + 1,500t

t th term = 55,500 + 1,500t

4 0
3 years ago
A man started from his home and drives 30km to the south and then 86km to the north . How far is he from his home now ??
ladessa [460]

Answer:

56km North of his home.

Step-by-step explanation:

30km south - 86km north

= 56km north

6 0
2 years ago
Read 2 more answers
You have a list of 1,000 random, normally distributed numbers with a mean of 20 and a standard deviation of 3. Which statement i
Ludmilka [50]
You're going to have to work out the z-scores of both values in each option and see if it makes sense.

n = m + sz

The mean is 20 and the standard deviation is 3.

So let's find try the z-scores of the outer range values and determine their probabilities:

from 14-20:

n = m + sz
20 = 20 + 3z and 14 = 20 + 3z
0 = 3z and -6 = 3z
z = 0 and z = -2

So now using a z-score table, such as the one below, find the probabilities.

z = 0 is easy, it's 0.5
z = -2 is 0.02275

Subtract the smaller from the larger to get the probability of getting in the range:

0.5 - 0.02275 = 0.47725 (so times 1000, you get 477.25, which is not about 340, so this option is wrong)
---
Now trying option 2, from 17-29:

n = m + sz
29 = 20 + 3z and 17 = 20 + 3z
9 = 3z and -3 = 3z
z = 3 and z = -1

0.99865 - 0.158655 = 0.839995 (not 680, so not the answer)
---
Now trying option 3, from 20-23:

n = m + sz
23 = 20 + 3z and 20 = 20 + 3z
3 = 3z and 0 = 3z
z = 1 and z = 0

0.841345 - 0.5 = 0.341345 (close to 340, so is your answer)
8 0
3 years ago
the length of a rectangle is 5 inches more than the width the perimeter is 70 inches what is the length
nadezda [96]

The sum of length and width is half the perimeter, so is (70 in)/2 = 35 in. Since this is the sum of length and width, if we add 5 inches, it will be twice the length. That is ...

... length + width = 35 in

... length + (width + 5 in) = (35 in) + (5 in)

... 2×length = (35 in) + (5 in) = 40 in


The length of the rectangle is 20 inches.

4 0
3 years ago
Read 2 more answers
A die is rolled. What is the probability of getting less than 5?<br><br> Simplify your answer.
N76 [4]

Answer:

1/6

Step-by-step explanation:

1

7 0
3 years ago
Read 2 more answers
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