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gavmur [86]
3 years ago
13

Show what you know: Finding sin, cos, and tan AC20 BC16 AB12

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

12²+16²=144+256=400=20²

so it is a right angled triangle.

let BC bebase and AB=height or perpendicular

AC=hypotenuse

sinC=12/20=3/5=0.6

cosC=16/20=4/5=0.8

tan C=12/16=3/4=0.75

similarly sin A=16/20=4/5=0.8

cos A=12/20=3/5=0.6

tan A=16/12=4/3≈1.33

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If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P
Ghella [55]

Answer:

x^2 + y^2 = r^2

Step-by-step explanation:

See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.

8 0
2 years ago
Solve for x: 2 over 3 equals the quantity x minus 1 end quantity over 5
sweet-ann [11.9K]

Answer:

13 over 3

Step-by-step explanation:

Hi Jakeyriabryant! I hope you’re fine!

I hope I have understood the problem well.

If so, what the exercise raises is the following equality:

(x-1) / 5 = 2/3

From this equation you must clear the "x".

First, we pass the 5 that is dividing on the side of the x, to the other side and passes multiplying

(X – 1) / 5 = 2/3  

(X – 1) = (2/3)*5

X – 1 = 10/3

Then we pass the one that is subtracting from the side of the x, to the other side and passes adding

X  = 10/3 + 1

Remember that to add or subtract fractions they must have the same denominator or a common denominator (in this case we can write 1 as fraction 3/3). Then,

X = 10/3 + 3/3

X = 13/3

I hope I've been helpful!

Regards!

7 0
3 years ago
What does the ordered pair (6,204) represent
Mandarinka [93]

Answer:

I can answer the question, but represent in what? Do u got a picture or example or sum?

8 0
3 years ago
Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?
IgorC [24]
Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

    3a - a = 18
    2a = 18
    a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

    3a
    3(9)
    27

Answer:
Jim is 27 years old.
6 0
3 years ago
Define "retirement" as presented in the lesson.
coldgirl [10]

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8 0
3 years ago
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