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mote1985 [20]
3 years ago
11

Help... me out here please

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

12 people

Step-by-step explanation:

There were 40 last year. 30% more would be:

30%*40 = 12

Therefore, this year, there were 12 more people.

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Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
1 year ago
Need help ASAP
SpyIntel [72]

Answer:

Step-by-step explanation:

EARNINGS FOR YEARS  =  PAY RATE/HOUR  * HOURS/WEEKS *     WEEKS/YEAR * YEARS

EARNINGS FOR 15 YEARS = 21.75/hour * 40 hours/week * 52 weeks/year * 15 years

Earnings = $678,600

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Naram-sin wears a horned helmet that is a symbol of _________.
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Naram-sin wears a horned helment that is a symbol of his divine power.
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