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Natali [406]
2 years ago
8

Find the area of the circle. Use 3.14 for it. Do not round your answer. Hint: A = nr2 Area = [?] inches? 16 inches Enter the num

ber that belongs in the green box.​

Mathematics
1 answer:
Bogdan [553]2 years ago
5 0

Answer: 200.96 inches²

Step-by-step explanation:

Diameter of circle = 16 inches

Pi (\pi) = 3.14

Area of circle = \pid²/4

                      = 3.14 × 16²/ 4

                      = 3.14 × 256/4

                      = 3.14 × 64

                      = 200.96 inches²

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Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx

=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx

=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}

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3 years ago
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Answer:

y = 4x+48

Step-by-step explanation:

Slope intercept form is y=mx+b. We already know the value for m(4), so we can plug in the x and y coordinates for x and y in the equation. This gives us 12=4(-9)+b. Solve for b to get 48

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3 years ago
A triangular courtyard has a perimeter of 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the thir
Masja [62]

Answer:

the third side is 40 m long

Step-by-step explanation:

The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)

Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)

Now set the following equation:

Perimeter = side 1 + side 2 + side 3   --> replace these with the info you know

120 m = 30 m + 50 m + x   --> add 30 m and 50 m obtaining 80 m

120 m = 80 m + x  --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides

120 m - 80 m = x  --> perform the subtraction 120 m - 80 m = 40 m

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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Degger [83]

Answer:

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To to this we have to count how many decimals from the back of the number

245,600,000,000

We can actually count 11 decimal points from the back

Hence in standard form or scientific notation we have

2.456*10^11

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