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1 year ago

11. A city engineer determines that 5,500 cubic meters of

Mathematics

1 answer:

PolarNik [594]1 year ago

3 0

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

<h3>Volume</h3>

Volume is the amount of space occupied by a three dimensional object or figure. The volume (V) of a cone is given by:

V = (1/3)πr²h

Where h is the height, and r is the radius

Given that h = 35 m, the radius using Pythagoras theorem:

37² = r² + 35²

r = 12

V = (1/3)π(12)² * 35 = 5280 m³

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

Find out more on Volume at: brainly.com/question/1972490

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A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Maurinko [17]

Answer:

$\frac{7\pi}{4}$ .

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = $56\pi\text{ cm}^2$

Formula for area of sector is

$A=\dfrac{1}{2}\theta r^2$

where, r is radius and $\theta$ is central angle in radian.

Substitute $A=56\pi$ and r=8 in the above formula.

$56\pi=\dfrac{1}{2}\theta (8)^2$

$56\pi=\dfrac{64}{2}\theta$

$56\pi=32\theta$

$\dfrac{56\pi}{32}=\theta$

$\dfrac{7\pi}{4}=\theta$

Therefore, the measure of the sector in radians is $\frac{7\pi}{4}$ .

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2 years ago

Please answer this question, will give brainliest!

Andrej [43]

Answer:

6.63 cm

Step-by-step explanation:

The segments within the circle form a right angle. Triangle CRS as a right triangle must follow the Pythagorean theorem which says the square of each leg adds to the square of the hypotenuse.

a² + b² = c²

Here a is unknown, b = 10 and c = 12.

a² + 10² = 12²

a² + 100 = 144

a² = 44

a = √44 = 6.63

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2 years ago

Can anyone help me out? thanks

Alik [6]

Answer:

450 cm

Step-by-step explanation:

12 degrees is 1/30 of the circumference because there are 360 degrees in a circle.

The minor arc length of 15 is in the same ratio to the circumference as the 2 angles , so the circumference = 30 * 15 - 450 cm.

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Step-by-step explanation:

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