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Alja [10]
3 years ago
15

If θ is an angle in standard position and its terminal side passes through the point (-3,4), find the exact value of tanθ in sim

plest radical form.
Mathematics
1 answer:
Dominik [7]3 years ago
3 0

Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

Step-by-step explanation:

please give brainliest

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7 0
3 years ago
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
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