Answer:
40% of the total was spent on fruit
Step-by-step explanation:
100%=45 x=18
100/x = 45/18 Now take the inverse of both sides
x/100 = 18/45
This leads to 1800 = 45x
1800 divided by 45 is equal to 40
The total percentage spent on fruit was 40%
Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.
Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)
Answer:



Step-by-step explanation:
Let
x----> the length of the rectangular garden
y---> the width of the rectangular garden
we know that
The perimeter of the rectangle is equal to

we have

so

simplify

------> equation A
Remember that the area of rectangle is equal to
----> equation B
substitute equation A in equation B
----> this is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the maximum area
The x-coordinate of the vertex is the length side of the rectangle that maximize the area
using a graphing tool
The vertex is the point 
see the attached figure
so

Find the value of y

The garden is a square
the area is equal to
----> is equal to the y-coordinate of the vertex is correct
Answer:
Step-by-step explanation:
Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.