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7nadin3 [17]
3 years ago
10

Find the equation of the circle whose center and radius are given. center ( 5.6), radius = 3

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

(x-5)² + (x-6)² = 9

Step-by-step explanation:

Remember that the equation of a circle is (x - h)² + (x - k)² = r², with <em>r </em>being the radius and <em>(h,k) </em>being the center point of a circle.

Since we are already given <em>r </em>and <em>(h,k)</em>, all we need to do is plug them into the formula to find our equation.

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30% of Number A is the same as 40% of Number B.
Goryan [66]

30% of number A means

\dfrac{30A}{100}=\dfrac{3A}{10}

similarly, 40% of number B means

\dfrac{40B}{100}=\dfrac{2B}{5}

These must be equal, so we have

\dfrac{3A}{10}=\dfrac{2B}{5}

Multiply both sides by 10 to get

3A=4B \iff A=\dfrac{4B}{3}

So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.

5 0
3 years ago
What an equivalent expression for 48 + 18x
FromTheMoon [43]

Answer:

6(8+3x)

Step-by-step explanation:

48+18x

We can factor out an 6 from each term in the expression

6(8+3x)

7 0
4 years ago
Read 2 more answers
Solve the equation.
Rasek [7]

Answer:

x=1/2 would be correct

4 0
4 years ago
Read 2 more answers
The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bo
coldgirl [10]

Answer:

Correct option: A. P=0.057

Step-by-step explanation:

<u>Binomial Distribution</u>

The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.

The PMF (Probability Mass Function) of the binomial distribution is

\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}

Where q = 1-p

The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is

\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}

\boxed{P=0.057}

8 0
3 years ago
-
Licemer1 [7]

Answer:

Step-by-step explanation:2r

(b) the perimeter of r+S + 5

the triangle in metres.

(c) Find the area of the triangle to 3 s.f.

A

Explain pls

6 0
2 years ago
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