Answer:
Part a) 
Part b) 
Step-by-step explanation:
we know that
The original area of rectangle is equal to
so
if the length is increased by 6% and the width is by 15%
then
the new area is equal to
![A=[1.06(14)][1.15(9.5)]\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5B1.06%2814%29%5D%5B1.15%289.5%29%5D%5C%20cm%5E%7B2%7D)
The new area is (1.219) times the original area
Part a) Calculate the percentage change in area of the rectangle
convert to percentage
Part b) what is the original area as a percentage of the increased area of the rectangle?
Divide the original area by the increased area
Convert to percentage
Step-by-step explanation:
Area of triangular prism =1/2 ×base×height
550=1/2×22×h
h=550/11
h=50m
hope it helps.
It takes 9 seconds to hit the ground.
Setting the equation equal to 0, we have:
0 = 144 + 128t - 16t²
Factoring out the GCF, we have
0 = 16(9 + 8t - t²)
Factoring out -1, we have:
0 = -16(-9 - 8t + t²)
In standard form, this is
-16(t² - 8t - 9) = 0
This is easily factorable; -9(1) = -9 and -9+1 = -8:
-16(t-9)(t+1) = 0
Using the zero product property, we know either t-9=0 or t+1=0; therefore t=9 or t=-1. Since negative time makes no sense, t=9.
Answer:
y = -x - 1
Step-by-step explanation:
y = mx + b
<u>slope (m):</u> Since the line is going downhill, the slope will be negative
slope = rise / run
slope = 1 / 1
slope = 1
m = -1
<u>y - intercept (b):</u> this when x = 0, the line is crossing the vertical line (y-axis)
b = -1
so y = mx + b is
b = -1, m = -1
y = (-1)x + (-1)
Answer:
37/56
Step-by-step explanation:
If Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart, the amount they drank altogether will be the sum of the amount they drank individually
Total = 3/8 + 2/7
Find the LCM
Total = 3(7)+8(2)/56
Total = (21+16)/56
Total = 37/56
Hence they drank 37/56 of the quartz altogether
