Answer:
h = 6
Step-by-step explanation:
Given he area of the banner expressed as;
A = ℎ(2ℎ−2)
h is the height of the banner
A is the area = 60
Substitute
60 = ℎ(2ℎ−2)
60 = 2h² - 2h
30 = h² - h
h²-h-30 = 0
Factorize;
h²-6h+5h-30 = 0
h(h-6)+5(h-6) = 0
(h-6)(h+5) = 0
h - 6 = 0 and h+5 = 0
h = 6 and -5
Since the height cannot be negative;
h = 6
Hence he height of the banner is 6
Answer:
x=ln(61)/ln(4)
Step-by-step explanation:
4^x+3=64
4^x=64-3
4^x=61
x=ln(61)/ln(4)
Answer:

Step-by-step explanation:
Two variables, x and y, appear to be exponentially related. The regression equation for ln y on x is 
we need to predict the value of y when x=0.72
plug in the value of x in the given equation






Answer:
Step-by-step explanation:
<u>Find the height BD using Pythagorean:</u>
<u>Find the base AC:</u>
<u>Find the area:</u>