The point (8, –15) is on the terminal side of an angle θ. What is sin θ ?

1 answer:

7 0

Let's calculate the hypotenuse of this right triangle:

(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.

a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823

b) If Ф is facing the smallest side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705

You might be interested in

Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newl

Mila [183]

$y=8^x
\\x=1\Rightarrow y=8^1=8
\\x=2\Rightarrow y=8^2=64
\\x=3\Rightarrow y=8^3=512
\\x=4\Rightarrow y=8^4=4,096$

3 0

3 years ago

A stock-car race lasted 2.07 hours. how many seconds did the race last?

kolezko [41]

$2.07 hr x \frac{60 min}{1 hr} x \frac{60 sec}{1 min} = 7452 sec$

8 0

3 years ago

What is the relationship between 0.04 and 0.004? In addtion

Anna35 [415]

They are basically the same number

7 0

3 years ago

Read 2 more answers

Use the graph to answer the question. On a coordinate plane, a curve starts at (negative 1, negative 1) and curves down through

Softa [21]

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

5 0

3 years ago

kari74 [83]

The equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f

<h3>Ratio and proportion</h3>

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

If Anastacio distributed 4 4/5 kg of seed among several bird feeders and put 3/5 kg of seed in each feeder, the expression that represents the number of bird feeders that Anastacio filled is given as;

Number of bird feeder = 4 4/5 ÷ 3/5

f = 4 4/5 ÷ 3/5

Multiply both sides by

f * 3/5 = 4 4/5 ÷ 3/5 * 3/5

f * 3/5 = 4 4/5

Hence the equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f

Learn more on division of fraction here: brainly.com/question/407943

#SPJ1

3 0

1 year ago