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Gemiola [76]
4 years ago
7

Find the area of a sector with a central angle of 170 and a diameter of 9.1 cm round to the nearest tenth

Mathematics
1 answer:
Kitty [74]4 years ago
8 0
Area of the sector=degrees/360 times area
are=pir^2
d/2=r
9.1=d, 9.1/2=4.55

areasector=170/360 times pi*4.55^2
areasector=17/36 times pi times  20.7025
using our calculator
30.712777013
round
30.7 square cm

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A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet
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Answer:

4 minutes

Step-by-step explanation:

Put it into an equation

20000 = 1250x + 15000

Subtract 15000 from both sides

5000 = 1250x

Divide both sides by 1250

4 = x

6 0
3 years ago
Parker and Company pays Selma Stokes on a variable commission scale. In a month when Selma had net sales of $155,000, what was h
docker41 [41]

Answer:

$9275

Step-by-step explanation:

Selma earns 5% on the first $40,000, which is $2000.

She earns 5.5% on the next $35,000, which is $1925.

She earns 6% on the next $25,000, which is $1500.

And she earns 7% on the last $55,000 (the amount over 100,000), which is $3850.

Altogether, Selma's commission is ...

... $2000 +1925 +1500 +3850 = $9275.

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<em>Comment on the sliding scale</em>

Each of the segments of this sliding scale could be rewritten to simplify its computation. For example, for amounts above $100,000, the formula could be either of ...

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5 0
3 years ago
1.assume that nominal gdp for 2012 was $700b with a price index of 110 (using 2004 as the base year). what is the real gdp for 2
Nezavi [6.7K]

<span> </span>real GDP = nominal GDP / price index

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3 0
4 years ago
$i^5+i^{-25}+i^{45}$<img src="https://tex.z-dn.net/?f=%24i%5E5%2Bi%5E%7B-25%7D%2Bi%5E%7B45%7D%24" id="TexFormula1" title="$i^5+i
gregori [183]

i^5+i^{-25}+i^{45}

Rewrite the term i^{-25}

=i^5+\dfrac{1}{i^{25}}+i^{45}

Expand each term so we have

=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}

Use the fact that i^2=-1

=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}

Use the fact that (-1)^{a}=1 when a is an even number

=i+\dfrac{1}{i}+i

Simplify

=i-i+i

=i

Let me know if you need any clarifications, thanks!

3 0
3 years ago
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The sum of four times a number and 18 is the same as the difference of fourteen and twice a number
Citrus2011 [14]
4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}
4 0
4 years ago
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