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3 years ago

What is the area of the figure?

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

Answer:

$50.2 \: {units}^{2}$

Step-by-step explanation:

Area of the shaded region = Area of exterior circle with radius (3 +2 = 5) units - Area of interior circle with radius 3 units

$= \pi {(5)}^{2} - \pi {(3)}^{2} \\ \\ = \pi( {(5)}^{2} - {(3)}^{2} ) \\ \\ = 3.14 \times (25 - 9) \\ \\ = 3.14 \times 16 \\ \\ = 50.24\\ \\ \approx 50.2 \: {units}^{2}$

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Write the equation of a line that has a m= -5 and passes through the point (-1,4)

svetoff [14.1K]

Answer:

We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.

y - 4 = -5(x + 1)

y - 4 = -5x -5

y - 4 + 4 = -5x - 5 + 4

y = -5x - 1

Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.

Step-by-step explanation:

4 0

3 years ago

A credit card company offers an annual 2% cash-back rebate on all gasoline

Nitella [24]

$4,350 x 0.02 = $87

$360 - $87 = $273

Interest $270 no rebate

so $273 - $270 = $3

6 0

3 years ago

Does anyone know what 3.2 ÷ 0 ???

Assoli18 [71]

Answer:

Infinity

Step-by-step explanation:

Look it up, its how it works. 0 can go into 3.2 infinity times.

3 0

3 years ago

The sum of 4 times a number and 7 equals 9

Reptile [31]

Answer:

0.5

Step-by-step explanation:

0.5 x 4 = 2, 2 + 7 = 9

4 0

3 years ago

Read 2 more answers

A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 4

pshichka [43]

Answer:

a) 0.0025 = 0.25% probability that none of the appeals will be successful.

b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.

c) 0.9768 = 97.68% probability that at least two of the appeals will be successful

Step-by-step explanation:

For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$