9514 1404 393
Answer:
smaller triangle area = 73 1/3 ft^2
Step-by-step explanation:
The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...
(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2
Answer:
12 x 12 = 144
Step-by-step explanation:
12 times by 12 is 144
1) x= -7
2) x= -5
3) x=-22
4) x =8
Not sure about the last one tho
I tried to help :)
Answer:
P(t) = 12e^1.3863k
Step-by-step explanation:
The general exponential equation is represented as;
P(t) = P0e^kt
P(t) is the population of the mice after t years
k is the constant
P0 is the initial population of the mice
t is the time in months
If after one month there are 48 population, then;
P(1) = P0e^k(1)
48 = P0e^k ...... 1
Also if after 2 months there are "192" mice, then;
192 = P0e^2k.... 2
Divide equation 2 by 1;
192/48 = P0e^2k/P0e^k
4 = e^2k-k
4 = e^k
Apply ln to both sides
ln4 = lne^k
k = ln4
k = 1.3863
Substitute e^k into equation 1 to get P0
From 1, 48 = P0e^k
48 = 4P0
P0 = 48/4
P0 = 12
Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;
P(t) = 12e^1.3863k
This gives the equation representing the scenario
Answer:
8 : 28
x2 x2
16:56
Step-by-step explanation: