Answer:

Step-by-step explanation:
We have the angle in standard post has a sine ratio of

This means the opposite side length of the corresponding right triangle is 9 units and the hypotenuse is 41 units.
Using Pythagoras Theorem, the adjacent side length can be found using:

This implies that:




The cosine ratio is adjacent over hypotenuse.

Since we are in the second quadrant, the cosine ratio is negative;

Answer:
1. 17/40
1. 0.425
1. 42.5%
2. 35/40
2. 0.875
2. 87.5%
Step-by-step explanation:
1. 17/401. 0.4251. 42.5%2. 35/402. 0.8752. 87.5%
Onne way is to eliminate terms
-2x+7y=2
3x-5y=-14
multiply first equation by 3 and second equaiton by 2
-6x+21y=6
6x-10y=-28
add them together to cancel x terms
-6x+21y=6
<u>6x-10y=-28 +</u>
0x+11y=-22
11y=-22
divide by 11
y=-2
subsitute
-2x+7(-2)=2
-2x-14=2
add 14 to both sides
-2x=16
divide both sides by 2
-x=8
multiply -1
x=-8
x=-8
y=-2
in (x,y) form
(-8,-2)
Answer: it will take 5 hours for both costs to be equal
Step-by-step explanation:
Let x represent the number of months for which the cost of the gyms be equal.
Bro Gym charges members $10 per month plus a one time fee of $100 to sign up. This means that the total amount that Bro Gym charges for x hours is
10x + 100
Muscles R' Us Gym charges members $20 per month plus a one time fee of $50 to sign up. This means that the total amount that Muscles R' Us Gym charges for x hours is
20x + 50
For both cost of the gyms to be equal,
10x + 100 = 20x + 50
20x - 10x = 100 - 50
10x = 50
x = 50/10 = 5