Solution:
4/11 = 0.36
3/14 = 0.21
He still needs to play 0.15 of an hour or 3/20 of an hour.
Given facts - Amount he has to play, and the amount he played.
Question - For how long does he need to practice to meet the required time.
Hidden question - There is nothing hidden
Operations used - divisions (not necessary), subtractions and conversion (only if used division).
Number sentence - 4/11 - 3/14 = x
Answer - 3/10 of an hour.
Hope it helped,
Happy homework/ study/ exam!
Step-by-step explanation:
−4x+5−13x+39=180
Step 1: Simplify both sides of the equation.
−4x+5−13x+39=180
−4x+5+−13x+39=180
(−4x+−13x)+(5+39)=180(Combine Like Terms)
−17x+44=180
−17x+44=180
Step 2: Subtract 44 from both sides.
−17x+44−44=180−44
−17x=136
Step 3: Divide both sides by -17.−17x
−17
=
136
−17
x=−8
Answer:
x=−8
Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
The domain is {-8}
The range is {5,6,7,8}
The relation is not a function as the domain value -8 maps to multiple values. All domain values in a relation needs to map to exactly one range value for it be a function.
