B. 5:10 because 15-5=10 which is the number of pencils with erasers and the 5 left are the amount of pencils which are missing an eraser
Yes it’s school p just mind the mean
This is a basic algebraic fraction question
Step 1: Factor n2-9
Step 2: Rewrite the second fraction
Step 3: Write all the numerators under the least common denominator
Step 4: Expand bracket
Step 5: Collect like terms
Answer:
Step-by-step explanation:
There are 2 yellow marbles, 3 pink marbles, and 5 blue marbles in the bag, for a total of 10 marbles.
Let's start with the probability that the first marble drawn is pink. Since there are 3 pink marbles out of the 10 total marbles, the probability of this happening is 
.
Since the first marble is not put back in the bag, there are now 9 marbles left, 2 of then being pink. The chances of drawing a pink marble now is 
. To find the chances of both of these events happening, multiply them together to get:
Answer:
9.9 feet.
Step-by-step explanation:
Solution:
- If the swing were to hang straight down, it would be hanging at an angle of -90 degrees from the horizontal. If it is moving from -45 degrees from the horizontal to -135 degrees from the horizontal, this means that it is swinging from 45 degrees to the right of the straight-down position to 45 degrees to the left of the straight-down position.
- The swing is of length L = 10 - 3 = 7 feet. Recall that it hangs from a beam 10 feet above the ground and the seat hangs 3 feet above the ground in its straight-down rest position.
- Let's consider the swing at one of its extreme positions where it makes an angle of 45 degrees from the vertical. In this position, you can imagine the swing forming a right triangle with the highest vertex angle being 45 degrees and the hypotenuse being L = 7 feet. To calculate the horizontal leg of this triangle, you would use the sine function.
sin(45 deg) = x/L
So,
x = L*sin(45 deg)
x = 7*sin(40 deg) = 4.95 feet
- But, this is only the horizontal distance that the swing traverses from one extreme position to hanging straight down. It needs to complete its motion and swing up to the other extreme position. So, in moving from one extreme position to the other, the swing traverses a horizontal distance of
2x = 2*4.95 feet = 9.9 feet.
