Answer:
118 degrees
Step-by-step explanation:
Supplementary = sum of the angles equal 180 degrees
180 - 62 = 118
118 degrees is your answer
Hope this helps!
Answer:
28.375 (rounded to 29 grams)
Step-by-step explanation:
there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams
Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
Answer:
The total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
Step-by-step explanation:
The total movies are given as 19 mysteries +12 documentaries=19+12=31
Now the number of total combinations such that 4 movies are rented is given as 
Now the number of total combinations with no documentary is given as
So the number of combination such that at least one movie is documentary is given as
=Total Combinations-Combinations with no documentary
=31465-3876
=27589
So the total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
The constant rate of change is how much y increases every time x increases by 1. We might be confused because in this table, we see a number of points, but we don't see any consecutive x-values, so it might seem difficult. But no worries!
All you have to do is calculate using the formula, Δy divided by Δx. What does Δy divided by Δx mean?
All we have to do is look at two points. Let's take, for example, (-2, -10) and (2, -8).
-2 and 2 are the x-values of the points and -10 and -8 are the y-values of the points as coordinates are in the format of (x, y).
All we have to do is minus the y-coordinates and then proceed the minus the x-coordinates. The order does not matter, as in you can do either of these ways:
[(-10) - (-8)] ÷ [(-2) - (2)] = -2 / -4 = 1/2
or
[(-8) - (-10)] ÷ [(2) - (-2)] = 2 / 4 = 1/2
So the constant rate of change or the answer is 1/2.
