How do you find the area of a circle with a circumference of 18.84 units.

B

larisa [96]

Answer:

14.9cm

Step-by-step explanation:

20sin40= b

b= 14.9022

b = 14.9cm

5 0

3 years ago

Unit 11: volume & surface area homework 8

Sholpan [36]

The volumes of the pyramids are listed below:

V = 1437.333 cm³
V = 75,398 km³
V = 59.2 ft³
V = 393.3 yd³
V = 1134.116 m³
V = 403.333 mm³
V = 405.6 in³
V = 886.808 ft³

<h3>How to determine the volume of a pyramid</h3>

Volume is the space occuppied by an object. In this question we must determine the volumes of pyramids of circular base and polygonal base (V). All the formulas needed are described below:

<h3>Volume of the pyramid</h3>

V = (π/3) · B · h (1)

<h3>Base of the pyramid - Circle</h3>

B = (π/4) · R² (2)

<h3>Base of the pyramid - Regular polygon</h3>

B = (n · L²)/(4 · tan 0.5α) (3)

<h3>Base of the pyramid - Right triangle</h3>

B = (1/2) · b · z (4)

<h3>Base of the pyramid - Rectangle</h3>

B = b · z

Where:

R - Radius
n - Number of sides of the polygon.
l - Side length
α - Internal angle, in degree.
h - Height of the pyramid
b - Base of the right triangle/rectangle.
z - Length of the right triangle/rectangle.

Now we proceed to solve each pyramid:

1) Square, n = 4, α = 90°, L = 14 cm, h = 22 cm

B = 196 cm², V = 1437.333 cm³

2) Circle, R = 3 km, h = 8 km

B ≈ 28.274 km², V = 75,398 km³

3) Right triangle, b = 12 ft, z = 3.7 ft, h = 8 ft

B = 22.2 ft², V = 59.2 ft³

4) Rectangle, b = 23 yd, z = 9 yd, h = 5.7 yd

B = 207 yd², V = 393.3 yd³

5) Circle, R = 9.5 m, h = 12 m

B ≈ 283.529 m², V = 1134.116 m³

6) Regular pentagon, B = 110 mm², h = 11 mm

V = 403.333 mm³

7) Square,n = 4, α = 90°, L = 13 in, h = 7.2 in

B = 169 in², V = 405.6 in³

8) Regular triangle, n = 3, α = 120°, L = 16 ft, h = 24 ft

B ≈ 110.851 ft², V = 886.808 ft³

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/1578538

7 0

1 year ago

Which is the best estimate for the product of 104.143 * 10,021.4

Lilit [14]

1,000,000

Explain: 100 x 10,000 = 1,000,000 just round then multiply

4 0

3 years ago

An airplane is flying at 32,000 feet when it starts its descent. It is descending at a rate of 2,000 feet per minute. Let x repr

velikii [3]

Answer:

equation: y = 32000 - 2000x

0 = 32000

1 = 30000

2 = 28000

3 = 26000

4 = 24000

Step-by-step explanation:

3 0

3 years ago

Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand.Zach gets a new terrarium

Vladimir79 [104]

Answer: the sand in the new terrarium is 2 inches deep.

Step-by-step explanation:

Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is

20 × 8 × 3 = 480 inches³

Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is

10 × 24 × h = 240h

Since the volume of sand in both terrariums is equal, then

240h = 480

h = 480/240

h = 2 inches

7 0

3 years ago