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3 years ago

Find the area of the green sector if m∠ A = π/6 and the circle has a radius of 10 inches. A) 25π B) π/6 C) 25π/ 3 D) 5π/6

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

Where is the green sector?

I will assume that the central angle is pi/6 and that the radius is 10 in.

The area of the whole circle is pi*100 units^2.

The green sector has an area of

pi/6

-------- times the area of the entire circle = (1/12) of pi*100 units^2.

2pi

This comes to pi*(100 units^2)

------------------------ = (25/3) pi units^2. That's C.

barxatty [35]3 years ago

3 0

Answer:

25π/2

Step-by-step explanation:

You can set up a proportion:

area sector /area : circle = A /360 °

In this case : x /100π = 45 /360

x = 1/8 100π = 25π/2

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

So , The number of cubes to fill prism

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

Can someone please help me this? Math 8

Viefleur [7K]

Answer:

$5x + ( - 8)x + 9 + ( - 4) \\ 5x - 8x + 9 - 4 \\ - 3x + 5$

this is the solution

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3 years ago

a regular pentagon-based pyramid has 5 faces which are equilateral triangles the perimeter of it's net is 70cm what is the perim

netineya [11]

Answer:

35cm

Step-by-step explanation:

The net of a regular pentagon has 10 sides.

Since each of the faces are equilateral triangles, the side lengths are equal.

Therefore:

Length of each side of the net = 70/10 =7cm

Therefore, the base is a regular pentagon of side length 7cm.

The perimeter of the base of the pyramid = 5 X 7

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The perimeter of the base of the pyramid is 35cm.

3 0

3 years ago

4cm 10cm Base= Height= Area=

Anton [14]

Answer:

Step-by-step explanation:

If you're talking about a square, then the area would be 40.

If you're talking about a triangle, then the area would be 20.

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3 years ago

The graph of a system of parallel lines will have no solutions. (1 point) Select one: a. Always b. Sometimes c. Never

Andreas93 [3]

Answer:

Always

Step-by-step explanation:

They never intersect

8 0

3 years ago

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