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jenyasd209 [6]
3 years ago
11

In the diagram below, determine the value of $x$: [asy] size(6.5cm); pair cis(real magni, real argu) { return (magni*cos(argu*pi

/180),magni*sin(argu*pi/180)); } draw(cis(1.5,15)--cis(-1,15)--cis(-1,15)+cis(2.5,-15)); draw(cis(-1,60)--cis(1,60)--cis(1,60)+cis(2.2,-75)); label("$30^\circ$",cis(-1,15)+(0.2,0),E); label("$45^\circ$",cis(1,60)+(-0.05,-0.2),S); label("$130^\circ$",(-0.03,0.03),SE); label("$x^\circ$",(0.8,-0.64)); [/asy]
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

55 degrees

I answered the question on AoPS and it said it was correct.

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OverLord2011 [107]

Answer:

Part A

The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars is 1,670,000

Step-by-step explanation:

Part A

Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y

The cost to produce 'y' cars, C = 20·y + 1,000,00

The profit, 'P', from making and selling 'y' cars is given as follows;

P = R - C

∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00

An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;

0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars, (y = 30,000) is given as follows;

= 0.003·y² - 10·y - 1,000,000

P_{y = 30,000} = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000

The profit made from selling 30,000 cars = 1,670,000.

6 0
2 years ago
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