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Verdich [7]
2 years ago
11

The radius of a circle is 4 kilometers. What is the circumference?

Mathematics
1 answer:
zaharov [31]2 years ago
3 0

Answer:

25.12 kilometers

Step-by-step explanation:

c = 2\pi \: r

C = 2 × 3.14 × 4

C = 25.12

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Which expression shows the distance on the number line between −3 and −10 ?
Crazy boy [7]

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

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2 years ago
I need help to solve this question.
LekaFEV [45]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
(10 points/I really need help) Tomas needs exactly 6 potatoes to make 12 potato pancakes?? Which of the following statements are
kirill115 [55]

The answers are A, B, and D.

The given information is that Tomas needs 6 potatoes to make 12 potato pancakes. Thus, we can assume it takes 1 potato to make 2 potato pancakes.

An answer choice must have two times more pancakes than potatoes. Only A, B, and D satisfy this. The others can be confusing if the multiplication is not executed properly.

3 0
3 years ago
Read 2 more answers
A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2π/3
Aleksandr-060686 [28]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Radius of circle = 10 inches

Central angle is given by

\frac{2\pi }{3}

As we know the formula for " Length of an arc " :

Length of arc is given by

l=r\theta\\\\l=10\times \frac{2\pi}{3}\\\\l=10\times \frac{2}{3}\times \frac{22}{7}\\\\l=20.95\ inches

Hence, length of an arc is 20.95 inches.

Hence, Option 'C' is correct.

5 0
3 years ago
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Prove the function f: R- {1} to R- {1} defined by f(x) = ((x+1)/(x-1))^3 is bijective.
Eduardwww [97]

Answer:

See explaination

Step-by-step explanation:

given f:R-\left \{ 1 \right \}\rightarrow R-\left \{ 1 \right \} defined by f(x)=\left ( \frac{x+1}{x-1} \right )^{3}

let f(x)=f(y)

\left ( \frac{x+1}{x-1} \right )^{3}=\left ( \frac{y+1}{y-1} \right )^{3}

taking cube roots on both sides , we get

\frac{x+1}{x-1} = \frac{y+1}{y-1}

\Rightarrow (x+1)(y-1)=(x-1)(y+1)

\Rightarrow xy-x+y-1=xy+x-y-1

\Rightarrow -x+y=x-y

\Rightarrow x+x=y+y

\Rightarrow 2x=2y

\Rightarrow x=y

Hence f is one - one

let y\in R, such that f(x)=\left ( \frac{x+1}{x-1} \right )^{3}=y

\Rightarrow \frac{x+1}{x-1} =\sqrt[3]{y}

\Rightarrow x+1=\sqrt[3]{y}\left ( x-1 \right )

\Rightarrow x+1=\sqrt[3]{y} x- \sqrt[3]{y}

\Rightarrow \sqrt[3]{y} x-x=1+ \sqrt[3]{y}

\Rightarrow x\left ( \sqrt[3]{y} -1 \right ) =1+ \sqrt[3]{y}

\Rightarrow x=\frac{\sqrt[3]{y}+1}{\sqrt[3]{y}-1}

for every y\in R-\left \{ 1 \right \}\exists x\in R-\left \{ 1 \right \} such that x=\frac{\sqrt[3]{y}+1}{\sqrt[3]{y}-1}

Hence f is onto

since f is both one -one and onto so it is a bijective

8 0
3 years ago
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