Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
Answer:
Part A: The 15 in the equations is Allison's allowance while the x is the number of months she gets allowance. The 100 in the equation is Allison's work money from the theater while the y is the number of months she works at the theatre.
Part B: The terms in this equation are 15x and 100y. 15x is her allowance profit and 100y is her work profit. I can tell this because 15 is the amount the makes from allowance and 100 is the amount she makes from work.
Part C: 15x is the term that represents the profit from her allowance.
Step-by-step explanation:
so the amount of allowance she gets is 15 * number of months
and I'm assuming she earns 100 * number of months
to make it more clear it would be better to write this equation as
Profit = 15m + 100m
where m = number of months
The speed is the change in position divided by the time.
There are four intervals where the speed is uniform:
1) from 0 to 0,5 hours
2) from 0,5 hours to 3 hours
3) from 3 to 4 hours
4) from 4 to 7 hours
We are asked to say the average speed during the interval in which J. is traveling the fastest.
That is where the is more inclined, and that happen in the last interval. There the speed is tha change in position / the time =
(200 -0)miles/3hours = 67 mph.
If you are not sure that this is the fastest speed, you can calculate the speed in the other intervals in the same way and compare.
The median of a set of numbers is the midpoint of the set if you were to organize the numbers from least to greatest or greatest to least. So, all we have to do is rearrange the numbers from least to greatest and find the midpoint:
67 76 76 82 84 87 93
count 3 in from both sides and the remaining number is 82, which is the median.
