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lana66690 [7]
2 years ago
15

How do I show my work for solving the radius of a circle if the area is 78.5 cm^2

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
7 0

9514 1404 393

Answer:

  radius = 5 cm

Step-by-step explanation:

The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.

__

If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:

  A = πr²

  78.5 = 3.14×r²

Dividing both sides by 3.14 gives the square of the radius:

  78.4/3.14 = r² = 25

Taking the positive square root gives the radius:

  r = √25 = 5

The area is in square centimeters, so the radius is in centimeters:

  radius = 5 cm

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The Lesser Sooty Owl is a strictly nocturnal bird. Hides & sleeps during the day in dense foliage, between tangles of aerial roots, in all kinds of crevices, or beneath overhanging banks. Hunts in clearings and near roads, but also inside forest.
8 0
3 years ago
Please help with geometry thx
anastassius [24]

Answer:

Correct answer:  Fourth answer  As = 73.06 m²

Step-by-step explanation:

Given:

Radius of circle R = 16 m

Angle of circular section  θ = π/2

The area of a segment is obtained by subtracting from the area of the circular section the area of an right-angled right triangle.

We calculate the circular section area using the formula:

Acs = R²· θ / 2

We calculate the area of an right-angled right triangle using the formula:

Art = R² / 2

The area of a segment is:

As = Acs - Art = R²· θ / 2 - R² / 2 = R² / 2 ( θ - 1)

As = 16² / 2 · ( π/2 - 1) = 256 / 2 · ( 1.570796 - 1) = 128 · 0.570796 = 73.06 m²

As = 73.06 m²

God is with you!!!

7 0
3 years ago
Please help and explain how you solved it. Thanks.
galina1969 [7]

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

3 0
3 years ago
Please HELP QUICKLY WHICH ONE IS CORRECT
enot [183]

Answer:

24 ounce package ( cheapest )

8 0
3 years ago
Read 2 more answers
Solve the “and” compound inequality for –1 < 6x + 1 ≤ 13
ser-zykov [4K]

Answer:

-1/3 < x <(or equal to) 2

Step-by-step explanation:

Firstly divide your inequality into two separate inequalities...

1) -1 < 6x + 1...then solve for the first one..,which then gives you....;

-2 < 6x....which gives us our first solution (x > -1/3)

Then the second inequality

2) 6x + 1 <(or equal to) 13

which then gives you....,

6x <(or equal to) 12...which then gives our second solution...( x <(or equal to) 2)

Then combine the two solutions into a compound solution

-1/3 < x <(or equal to) 2

8 0
3 years ago
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