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umka2103 [35]
3 years ago
7

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

ngle
Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

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75 - 3.5y - 4y = 4y + 6 <br> Solve for y please.
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Answer:

6

Step-by-step explanation:

75−3.5y−4y=4y+6

Step 1: Simplify both sides of the equation.

75−3.5y−4y=4y+6

75+−3.5y+−4y=4y+6

(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)

−7.5y+75=4y+6

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Step 2: Subtract 4y from both sides.

−7.5y+75−4y=4y+6−4y

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Step 3: Subtract 75 from both sides.

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−11.5y=−69

Step 4: Divide both sides by -11.5.

−11.5y

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−69

−11.5

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Hope this helps!

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