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4 years ago

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A documentary showed rare breeds of birds being tagged in a specific area. The researches tagged 50 birds. When the researches r

eturned they counted 600 birds, 10 of which had tags.
What would be a good estimate of how many rare breed birds are in this area?

1 answer:

Alexandra [31]4 years ago

5 0

373 wow 192 393 292 922 102763

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B: XZ corresponds to QR

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4 years ago

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3 years ago

Help plzzz!! Find the slope through these pairs of points

Colt1911 [192]

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

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3 years ago

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

Helen [10]

Answer: <u>38.4845100065m²</u>

<em>when rounded to the nearest tenth: </em><u>38.5m²</u>

<em>when rounded to the nearest hundredth: </em><u>38.48m²</u>

<em>when rounded to the nearest thousandth: </em><u>38.485m²</u>

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 <u>divide the measure of the diameter by 2</u> <em>OR</em> <u>use the formula</u> $r=\frac{C}{2\pi}$ where r = radius and C = circumference.
because there is no given diameter measurement in your question, <u>the best way to find the radius is to use the formula</u> $r=\frac{C}{2\pi}$ .

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 <em>radius equals seven times pi divided by two times pi</em>.

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 $r$ .

$A = \pi r^{2}$ ⇒ $A = \pi 3.5^{2}$

now multiply $\pi 3.5^2$ , aka <em>pi times three and five tenths squared</em>.

$\pi 3.5^2 = 38.4845100065$ <em>(if needed, you can round this result to the nearest tenth, hundredth, etc.)</em>

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the area of the circle is 38.4845100065m². i hope this helps! have an amazing day <3

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6 0

3 years ago