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tamaranim1 [39]
2 years ago
9

Solve the equations below exactly. Give your answers in radians, and find all

Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

sin(t)=-\frac{\sqrt{3}}{2}

t=\frac{4\pi}{3},\frac{5\pi}{3}

cos(t)=\frac{1}{2}

t=\frac{\pi}{3},\frac{5\pi}{3}

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by (cos(\theta),sin(\theta)) where \theta is measured in radians.

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Una ciudad tenía 8000 habitantes a final del año 2000. Cada año su población se incrementa en un 0.5 %
Digiron [165]

Answer:

The correct answer is 2030.

Step-by-step explanation:

To start we must analyze the information we have.

We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:

(8000 . 0,5) : 100 = 40

Having this information we could do a cross multiplication:

1 year ------- 40 inhabitants

x years ------- 81200

81200 = 40.x

x = 81200 : 40

x = 2030

In this way we can verify that the correct answer is 2030.

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3 years ago
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3 years ago
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4 0
4 years ago
Find the image of the points after a reflection in the line x=-2​
meriva

Answer:

The Y value part of the point's coordinates will always stay the same, and then calculate the distance from the point's x value to the line -2 and then count the same amount in the opposite direction. For example, if the point was (-3,1), then the point is 1 left from the line, so you will go point one right from the line and get the answer (-1,1)

Step-by-step explanation:

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3 years ago
Thelma and Louise drove 294 miles and used 14 gallons of gas. How many miles did their car get per gallon of gas?
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