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2 years ago

Find the area of a circle with a circumference of \blueD{37.68}37.68start color #11accd, 37, point, 68, end color #11accd units.

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

7 0

Answer: 113.04

Step-by-step explanation:

The circumference of a circle is calculated as 2πr

Since the circumference 2πr= 37.68

r= 37.68/2π

r= 18.84/π

The area of a circle is calculated as πr^2

Area= π × (18.84/π)^2

= (18.84^2)/π

Recall that π = 3.14

Area= 354.9456/3.14

= 113.04

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A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the

hoa [83]

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone = 2 m

The angle which the A $\hat O$ C = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone

The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°

∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

8 0

2 years ago

Bethany sells roses and petunias. The expression 3r+2.5p3r+2.5p3, r, plus, 2, point, 5, p gives the cost (in dollars) of rrr ros

Temka [501]

I think the equation is written as 3r + 2.5p, where r is the number of roses and p is the number of petunias. To find the total cost, substitute 777 to r and 888 to p. The total cost would then be:

Total Cost = 3r + 2.5p
Total Cost = 3(777) + 2.5(888)
Total Cost = 4551

The total cost would be $4,551.

7 0

2 years ago

Read 2 more answers

At your school, 20% of the class are marketing majors. You are randomly assigned to two partners in your statistics class. a)

Digiron [165]

Answer:

a) 20%

b) 80%

c) There is 4% probability that both will be marketing majors.

d) There is a 36% probability that at least one will be a marketing major.

Step-by-step explanation:

At your school, 20% of the class are marketing majors.

This means that for each student, there is a 20% that he is a marketing major and an 80% chance that he is not a marketing major.

a) What is the probability that the first partner will be a marketing major?

The probabilities for each student are independent, so it is 20%.

b) What is the probability that the first partner won't be a marketing major?

80%

c) What is the probability that both will be marketing majors?

For each one, it is 20%. So:

$P = 0.2*0.2 = 0.04$

There is 4% probability that both will be marketing majors.

d) What is the probability that at least one will be a marketing major?

That is one of them or both. For both, we found in c) that it is 4%.

For one of them, there are two cases. Either the first partner is and the second is not, or the other way. So, the probability that at least one will be a marketing major is

$P = 0.04 + 2*0.2*0.8 = 0.36$

There is a 36% probability that at least one will be a marketing major.

5 0

2 years ago

Walter has 124 bills consisting of 5 dollar bills and 10 dollar bills. If his total amount of money is $840, how many bills of e

Romashka [77]

For this question here are the formulas,
Let T be the number of 10's
Let F be the number 5's

Let us find the 10's first by this formula.
5(124 - T) + 10T = 840
620-5T + 10T = 840
then
5T = 220
5 5

T=44
Now let's find the F using this formula.

5F + 10T = 840
Sustitute T
5F + 10(44) = 840
5F = 400
5 5
F = 80

to Check
F + T = 124
80 + 44 = 124

8 0

2 years ago

For every 6kg a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48 kg, how many milligrams of the

Finger [1]

The answer will be 136mg
48/6=8
8*17=136mg

5 0

2 years ago