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Akimi4 [234]
2 years ago
15

Find the area of the smaller sector. Round to the nearest tenth. Help needed fast

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0

Answer:

About 22.2 square feet

Step-by-step explanation:

First, you need to find the area of the full circle. The area of a circle is \pi r^2, which in this case is:

\pi r^2 = \pi \cdot 7.13^2\approx 159.628

Now, since the sector is only 50 out of the total 360 degrees in a circle, you need to multiply this value by 50/360, which yields and area of about 22.2 square feet. Hope this helps!

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The least to greatest would be 2/6, 3/6, 5/6.
As they all have the same denominator you look at the numerator to figure out the least to greatest. 2/6 is the shortest yard and 5/6 is the longest yard so it would be greater than 2/6.
6 0
3 years ago
In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod
ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

\frac{dp}{dt}=\frac{0.7}{100}P

\int \frac{dP}{P}=0.007\int dt

lnP=0.007t+C

Using the formula

\int \frac{dx}{x}=ln x+C

P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}

e^C=A

Initially when t=0,P=323 million

Substitute the values

323 million=A

P=323e^{0.007t}

Now, substitute P=400 million

400=323e^{0.007t}

ln\frac{400}{323}=0.007t

ln(1.2384)=0.007t

t=\frac{ln(1.2384}{0.007}

t=30.5\approx 31 Years

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

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yes it is ok have a nice day

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