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mihalych1998 [28]
3 years ago
8

Calculate the area of the quarter circle estimate using 3.14 for pi

Mathematics
1 answer:
mars1129 [50]3 years ago
6 0

The area of the quarter circle with radius 3ft is 7.065 ft^2

Area of a quarter circle is given by the formula:

Area = \frac{\pi r^2}{4}

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula Area = \frac{\pi r^2}{4}

Area = \frac{3.14 \times 3^2}{4}\\\\Area =   \frac{3.14 \times 9}{4}\\\\Area =  \frac{28.26}{4}\\\\Area = 7.065 ft^2

The area of the quarter circle with radius 3ft is 7.065 ft^2

Learn more here: brainly.com/question/25843249

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While eating a big bowl of pho (Vietnamese soup), you discover that the diameter of the bowl is 9 inches. What is the circumfere
Sever21 [200]
Circumference = π × diameter
π × 9 = 28.274333882
To 1dp = 28.3
Circumference = 28.3 inches
7 0
4 years ago
Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

7 0
4 years ago
Calculate the size of each interior angle of a regular polygon with 14 sides
Ierofanga [76]

Answer:

154.285

Step-by-step explanation:

The sum of the interior angles of a 14-gon = (14-2)*180 = 2,160 degrees. There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. By dividing 2160 (sum of all angles) by 14 (total amount of angles) we can see how much each angle is worth. So the interior angle of each is 154.285 degrees.

4 0
3 years ago
Giving brainlest and 20 points
Natali5045456 [20]

Answer:

C. 40 square inches but i could be wrong

4 0
3 years ago
I need help on this please
iren [92.7K]

Answer:

m∠ACB = 82°

Step-by-step explanation:

m∠ACB = 180° - m∠ACD

∠ACB and ∠ACD are supplementary, which add up to 180°

m∠ACB = 180° - 98°

m∠ACB = 82°

-Chetan K

6 0
3 years ago
Read 2 more answers
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