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harkovskaia [24]
3 years ago
13

What is the area of the sector having a radius of 8 and a central angle of 5pi/3 radians?

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

  160π/3 units² ≈ 167.55 units²

Step-by-step explanation:

The appropriate area formula is ...

  A = (1/2)r²θ

Filling in the numbers, you have ...

  A = (1/2)(8²)(5π/3) = 160π/3 ≈ 167.55 . . . . square units

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Which statement describes whether a right triangle can be formed using one side length from each of these squares?
balu736 [363]

Answer:

Step-by-step explanation:

The area of the given squares are

Area = 64 in

Area = 225 in

Area = 289 in

The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.

For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,

8² + 15² = 17²

289 = 289

Therefore, the correct statement is

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square

4 0
3 years ago
If you need to use 4/5 of a cup of strawberries for a single pie . How many cups would be needed for 2 pies.
kirza4 [7]

Answer:

1 3/5      or 8/5     cups for 2 pies

Step-by-step explanation:

5 0
3 years ago
Evan wants to buy a digital camera that sells for $199.99 if he uses his dicount card he will save 18%. about how much will he s
ikadub [295]
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199.99X 18/100
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7 0
3 years ago
The perimeter of a rectangle is 80 inches, if the width is 18 inches what is the area of the rectangle? A.22 sq.in B.324 sq.in C
Tanya [424]

Answer:

396 in^2

Step-by-step explanation:

The perimeter of a triangle is given by the formula:

● P = 2w+2L

L is the length and w is the width

■■■■■■■■■■■■■■■■■■■■■■■■■■

The width hereis 18 inches and the perimeter is 80 inches.

Replace w by 18 and P by 80 to find L.

● P= 2L+2w

● 80 = 2L + 2×18

● 80 = 2L + 36

Substrat 36 from both sides

● 80-36 = 2L+36-36

●44 = 2L

Divide both sides by 2

● 44/2 = 2L/2

● 22 = L

So the length is 22 inches

■■■■■■■■■■■■■■■■■■■■■■■■■■

The area of a rectangle is given by the formula:

● A= L×w

● A = 22×18

● A = 396 in^2

6 0
3 years ago
What is the fifth term in the geometric sequence described by this explicit formula y=40×(-2)^(n-1)​
cupoosta [38]

Answer:

The fifth term is 620

Step-by-step explanation:

y=40×(-2)^(n-1)​

The 5th terms means n=5

y = 40 * (-2) ^ (5-1)

  = 40 * (-2) ^4

  = 40 * (16)

  = 640

5 0
3 years ago
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