Answer:
B) 24
Step-by-step explanation:
A right triangle is 90°
90-42=48
48/2=24
Step-by-step explanation:
-x+2y=-6
x-2y=6
x=2y+6
substitute in 2x-3y=11 gives us 2(2y+6)-3y=11
4y+12-3y=11
y=-1
-x+2(-1)=-6
-x=-4
x=4

To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator. To make them compatible, we can convert

into

:

Next, we can simplify:

Finally, to cancel the denominator within the denominator, we can multiply the whole expression by

, or 1:

The expression simplifies to

, or

as a mixed number.
Answer:
2/15
Step-by-step explanation:
The answer choices to this question do not make sense since probability is a measure that is always <= 1.0
Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles
Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45
Probability of drawing a green tile = 6/45 = 2/15
The force of 10 pounds is made up of the horizontal components of the 8 and 5 pound forces
8 cos 30 + 5 cos 52 = 10
so your answer is 30 degrees