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3 years ago

Find the radius of the circle given the area of the sector is 153.9 and the angle measure

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

Answer:

Step-by-step explanation:

area of sector = 153.9

or, (1/2) r²∅ = 153.9

or, r²∅ = 153.9 ×2

or, r²∅ = 307.8

or, r²× π/2 = 307.8

or, r² = 615.6/π

or, r² = 196

or, r=√196

r = 14

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There were 230{,}600230,600230, comma, 600 jobs available in the field of radiology in the year 201420142014. Each year, that nu

dexar [7]

Answer:

j(t)=230600(1.009)^t

Step-by-step explanation:

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So each year, the expected number of jobs is multiplied by 100.9\%100.9%100, point, 9, percent, which is the same as a factor of 1.0091.0091, point, 009.

If we start with the initial number of jobs, 230{,}600230,600230, comma, 600 jobs, and keep multiplying by 1.0091.0091, point, 009, this function gives us expected number of jobs in radiology ttt years from 201420142014:

j(t)=230600(1.009)^t

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3 years ago

Read 2 more answers

Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,

sweet-ann [11.9K]

Answer:

The correct option is E.

Step-by-step explanation:

It is given that Alice, Benjamin, and Carol each try independently to win a carnival game.

Let A, B and C represent the following events.

A = Alice win

B = Benjamin win

C = Carol win

$P(A)=\frac{1}{5}$ and $P(A')=1-P(A)=1-\frac{1}{5}=\frac{4}{5}$

$P(B)=\frac{3}{8}$ and $P(B')=\frac{5}{8}$

$P(C)=\frac{2}{7}$ and $P(C')=\frac{5}{7}$

We need to find the probability that exactly two of the three players will win but one will lose.

$Probability=P(A\cap B\cap C')+P(A\cap B'\cap C)+P(A'\cap B\cap C)$

$Probability=P(A)P(B)P(C')+P(A)P(B')P(C)+P(A')P(B)P(C)$

$Probability=\frac{1}{5}\cdot\frac{3}{8}\cdot\frac{5}{7}+\frac{1}{5}\cdot\frac{5}{8}\cdot\frac{2}{7}+\frac{4}{5}\cdot\frac{3}{8}\cdot\frac{2}{7}$

$Probability=\frac{3}{56}+\frac{1}{28}+\frac{3}{35}$

$Probability=\frac{7}{40}$

The probability that exactly two of the three players will win but one will lose is $\frac{7}{40}$ .

Therefore the correct option is E.

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4 years ago

Question 16

Artyom0805 [142]

Answer:

Step-by-step explanation:

$5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16$

Multiplication and division are priority to addition and subtraction

Brainliest please

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3 years ago

Help please!!!!!!!!!!!!! Explain if possible

iris [78.8K]

Answer is C.
For every option, sub in the value and find the answer that matches the equation!

Example for option A, F(x) = x + 4 and G(x) = x²
G(F(x)) = G(x + 4) ーー> sub in the value of F(x)
Let's take the subbed in value, (x + 4) as x, and this x will be the x for G(x).

∴ Since G(x) is x²
G(x + 4) = (x + 4)² ーー> remember (x + 4) is represented as x.
= x² + 16
∴ You know that the answer is not A, do this for all options and you'll find the answer, C!

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4 years ago

What is the value of 5/6+(-4/9)-(-2)

GarryVolchara [31]

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3 years ago