Answer:
A. 19.2
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Exact Form:
√
370
Decimal Form:
19.23538406
…
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:
Triangle ABC has length of BC equal to 10 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees and measure of angle DCB is 30 degrees.
What is the length of the wood that is needed to replace AD?
Answer:
a = 1.07
b = 1.96
r = 96%
Step-by-step explanation:
In an exponential function, modeled by f(x) = a(b)ˣ, a is the initial value and b is the growth factor. If we apply this formula to the given function y = 1.07(1.96)ˣ, we can see that the initial value, a, is 1.07, and the growth factor, b, is 1.96.
Now, to break down b, 1.96, into a rate, you simply set it equal to the problem’s given (1 + r) equation to find the rate.
1.96 = 1 + r
So r = .96
Now, we just have to convert .96 into a percentage to get a growth rate of 96%.
Here we go ~
The equivalent expression will be ~
8^x = 2
8 is 2 cubed
So
2^3^x = 2
2^3x = 2
3x = 1
x = 1/3
