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IceJOKER [234]
3 years ago
8

Rachel finished 3/4 of the race in 6 hours. How long was the entire race?

Mathematics
1 answer:
Ugo [173]3 years ago
5 0
The answer is a total of 9 hours
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Tan theta is equal to 2- cos theta find the value of sin theta​
artcher [175]

Answer:

sqrt(2)/2

Step-by-step explanation:

Given tan(x)=2-cot(x), find sin(x).

Rewrite in terms of sine and cosine:

sin(x)/cos(x)=2-cos(x)/sin(x)

Multiply both sides by cos(x)sin(x):

sin^2(x)=2sin(x)cos(x)-cos^2(x)

Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:

sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))

Distribute:

sin^2(x)=2sin(x)cos(x)-1+sin^2(x)

Subtracting sin^2(x) on both sides:

0=2sin(x)cos(x)-1

Add 1 on both sides:

1=2sin(x)cos(x)

Use identity sin(2x)=2sin(x)cos(x) to rewrite right:

1=sin(2x)

Since sin(pi/2)=1, then 2x=pi/2.

Dividing both sides by 2 gives x=pi/4.

So sin(pi/4)=sqrt(2)/2

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3 years ago
What is 2x+4<br> dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
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Answer: look at the picture

Step-by-step explanation: Hope this help :D

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5-13)<br> -10-15<br> what’s the equation for the line that passes through points (5,-3) and (-10,15)
umka2103 [35]

Answer: y=-6/5x+3

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula m=\frac{y_2-y_1}{x_2-x_1}, then solve for the y-intercept.

m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

15=-6/5(-10)+b        [multiply]

15=12+b                   [subtract both sides by 12]

b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.

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4 years ago
Toyota is discounting all their 2020 cars by 21% to make room for the new 2021 vehicles. A 2020 Rav 4 has a sticker price of $23
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Answer:

B $18,861.25

Step-by-step explanation:

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