Answer:
95/375 = 19/75
Step-by-step explanation:
fraction = number of favorable outcomes / number of total outcomes
total outcomes = number of baked food = 280 + 95 = 375
favorable outcomes = number of cakes = 95
95/375 is our answer
-8x+12=-5x,,12=8x-5x,,12=3x ,,x=4
Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
9.
It is given that:
Length of mid-segment = 54
Length of parallel side = 3n
Using mid-segment theorem, we get
Divide both side by 3.
Therefore, the value of n is equal to 36.
10.
It is given that:
Length of mid-segment = 4n+5
Length of parallel side = 74
Using mid-segment theorem, we get
Divide both side by 4.
Therefore, the value of n is equal to 8.
The diameter of the wheel is 30 inches, therefore the radius is 15 inches.
We calculate the angular velocity (w) of this using the formula:
w = v / r
w = 60 mph / 15 inches = 4 mph / inches
Since the flange is 1 inch beyond the rim, hence the effective radius for this is 16 inches.So the velocity on the outer edge is:
v = w r
v = (4 mph / inches) * 16 inchesv = 64 mph