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STatiana [176]
2 years ago
15

What is the area of a circle with a diameter of 28 inches? Answer in terms of Pi. *

Mathematics
1 answer:
rusak2 [61]2 years ago
8 0

Formula for the area of a circle:

A = πr²         (A = Area         π(pi)          r = radius)

You know:

r = 14 inches          So substitute/plug it into the equation

[Radius is \frac{1}{2} (half) of the diameter. The diameter is 28, so half of 28 = 14]

A = πr²       Plug in 14 into "r" since r = 14

A = π(14)²      Find 14²  -->  14 x 14 = 196

A = 196π in²        Your answer is the 4th option

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Please can you simplify -x+2z+x+2y
slavikrds [6]

Answer:

2y + 2z

Step-by-step explanation:

-x + 2z + x + 2y

= (-1 + 1)x + 2y + 2z

= 2y + 2z

Hope this helped!

3 0
3 years ago
A student from the community college is selected at random. Find the probability that the student is at last 31. Round approxima
12345 [234]

Answer:

0.077

Step-by-step explanation:

From the table :

Number of students aged 31 - 35 = 60

Number of students over 35 = 26

Total number of students = total possible outcomes = 1123

Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86

Probability = required outcome / Total possible outcomes

Probability (at least 31) = 86 / 1123 = 0.0765

= 0.077 (3 decimal places)

7 0
2 years ago
if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which
tresset_1 [31]

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

5 0
3 years ago
Nathan plants equal sized squares of sod in his front yard each square has an area of 6 square feet Nathan plants a total of 100
Darya [45]
Multiply 6x1000 wich will give you the total area

7 0
3 years ago
Read 2 more answers
A sweatshirt is $67.50, if
lesya692 [45]

Answer:

a. $3.36

b. $70.86

Step-by-step explanation:

5% of $67.50 is $3.36

$67.50 + $3.36 = $70.86

4 0
2 years ago
Read 2 more answers
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