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Dennis_Churaev [7]
3 years ago
5

Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

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A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows
Mars2501 [29]

Answer:

Step-by-step explanation:

The correct answer is not the first answer, but the second answer in the middle. The third answer is the correct one because, since it has the correct exponent, that is, 0.51 grams.

_________________________________________________________

The approximate total mass is the number of atoms multiplied by the weight of an atom.

The approximate overall mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom) which is equivalent to a mass of 0.51 grams. (1.67 10⁻²⁴ grams/1 atom) = 0.51102 g ≈ 0.51 g

Answer: B. 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1

5 0
3 years ago
Read 2 more answers
Which relationship has a zero slope?
kow [346]

The second one (straight line parallel to the y axis)

4 0
2 years ago
Read 2 more answers
Clarisa's annual gross pay as an account manager is $54,000. If the graduated state tax rate is 1% for the first $5,000 and 3% f
Hoochie [10]

Answer:

Total taxes = $1,520

Step-by-step explanation:

We have two separate calculations for the taxes:

The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is

1% * 5000 = $50

The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:

3% * 49,000 = $1,470

So, the total amount deducted for state taxes is:

Total taxes = 50 + 1470 = $1,520

4 0
3 years ago
What are the solutions to the equation 3x2 + 3x +7 = 0?​
KATRIN_1 [288]

Answer:

x is equal to 0.94 and -1.94

Step-by-step explanation:

3x² + 3x + 7 = 0

9x² + 9x + 21 = 0

9x² + 9x + 2.25 = 18.75

(3x + 1.5)² = 18.75

3x + 1.5 = ±√18.75

3x = -1.5  ±√18.75

x = (-1.5  ±√18.75) / 3

x = 0.94, -1.94

7 0
3 years ago
A basketball is thrown, and its height above ground is represented by the function f(x)=-3x^2+10x+4. At the same time, a drone t
JulijaS [17]

Answer:

The drone takes 2.25 seconds to be higher than the basketball.

Step-by-step explanation:

Based on the definitions given on statement and the image attached below, the red line represents the height of the basketball and the blue line represents the height of the drone, respectively. The height of the drone is higher than the height of the basketball when the y-value of the former is higher than the y-value of the latter. The time is contained in the +x semiaxis.

According to the figure, the drone takes 2.25 seconds to be higher than the basketball.

5 0
3 years ago
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