4. (03.05)

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

5 0

Answer:

B. domain is all integers 0 through 9

Step-by-step explanation:

Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.

The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.

1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."

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The circumference of a circle is 7π m. what is the area

Helen [10]

Answer: 38.4845100065m²

when rounded to the nearest tenth: 38.5m²

when rounded to the nearest hundredth: 38.48m²

when rounded to the nearest thousandth: 38.485m²

Step-by-step explanation:

the formula for finding the area of a circle is $A = \pi r^{2}$ , where A = area and r = the radius of the circle.

since you're only given the circumference, we need to calculate the radius of the circle before we can find the area.

to find the radius of a circle, you can either divide the measure of the diameter by 2 OR use the formula $r=\frac{C}{2\pi}$ where r = radius and C = circumference.
because there is no given diameter measurement in your question, the best way to find the radius is to use the formula $r=\frac{C}{2\pi}$ .

first, plug the given values into the equation.

since $7\pi$ is the given circumference, plug in $7\pi$ for $C$ .

$r=\frac{C}{2\pi}$ ⇒ $r=\frac{7\pi}{2\pi}$

the equation becomes $r=\frac{7\pi}{2\pi}$ , aka radius equals seven times pi divided by two times pi.

now divide $\frac{7\pi}{2\pi}$ .

$\frac{7\pi}{2\pi} = 3.5$

now we know that the radius of the circle is 3.5 :) since we have this information, we can now solve for the area of the circle using the formula $A = \pi r^{2}$ .

first, plug in $3.5$ for $r$ .