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zysi [14]
3 years ago
13

If cos 0 = 3/5 and angle 0 is in Quadrant IV, what is the value of tan 0 ? Tan =

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer:

-4/3.

Step-by-step explanation:

cos O = 3/5

Using Pythagoras to find the length of the side opposite  the angle O:

As the  cos of O is adjacent/ hypotenuse,  Hypotenuse = 5 , adjacent side = 3 so

opposite side. = sqrt(5^2 - 3^2) = sqrt 16

= 4.

Now the tangent is negative in Q IV so

tan O =  opposite / adjacent side = -4/3

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tamaranim1 [39]
This can be solved by making an equivalent ratio.
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Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
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Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
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Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
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Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.
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Answer:

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