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balandron [24]
3 years ago
13

4) The area of a piece of pie in the shape of a sector is 7.1 in. The angle of the sector is 40°. Find the diameter of

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

7.1 = 40/360 * 22/7 * r^2

7.1 = 1/9 * 22/7 * r^2

63.9 = 22r^2/7

r^2 = (7 * 63.9)/22

r^2 = 20.331818181818

r = square root of 20.331818181818

r = 4.51

d = r * 2 = 4.51 * 2 = 9.02

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Which equation is written in slope-intercept form? Oy= 3x-2 O x=y+8 0 2x+ 5y = 12 O 3y = 8x-5​
maw [93]

Answer:

Step-by-step explanation:

slope intercept form is

y-mx+b where m is the slope, b-is the y-intercept

y=3x-2

8 0
3 years ago
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
Arisa [49]

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = \pir²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = \pir²h

V = \pi(8)²(8)

V = \pi(64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

6 0
3 years ago
So, Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as
svetoff [14.1K]

Answer:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth. And, the number of bull shark teeth is 4.

Step-by-step explanation:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth.

Since Christian has 18 shark teeth, and 6 are tiger shark teeth, 8 are sand shark teeth and the rest are bull shark teeth.

Let x represent the number of bull shark teeth.

So, total number of shark teeth = number of tiger shark teeth + number of sand shark teeth + number of bull shark teeth.

18 = 6 + 8 + x

18 = 14 + x

subtracting 14 from both sides, we have

18 - 14 = 14 - 14 + x

4 = 0 + x

4 = x

x = 4

So, the number of bull shark teeth is 4.

4 0
3 years ago
Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

So

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x =  x²+ 4 - 4 x

(x-2)² =  x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² =  x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

8 0
3 years ago
How many whole numbers are there up to 100, including 100?​
vladimir2022 [97]

Answer:

100

Step-by-step explanation:

because... LOGIC

5 0
3 years ago
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