Answer:
The third side must be smaller than 20 inches and greater than 4 inches
Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then
Use this rule in your case. So, if a=12 and b=8, then
Hence, you get
From these inequalities, you can state that
So, c must be smaller than 20 inches and greater than 4 inches.
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
Short answer: 2 * sqrt(13)
Remark
There are a number of ways to look at this. I'll pick the easiest.
Step one
Factor 52 until there are no more prime factors to be used.
52 = 2 * 26
52 = 2 * 2 * 13. That's as far as you can go.
Rule
For every 2 equal prime factors, 1 of them can be taken out side of the root sign. The other one disappears.
sqrt(52) = sqrt(2*2* 13) = 2*sqrt(13)
Answer 2sqrt(13) <<<< answer
For this case we have a function of the form:
Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:
Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
Answer:
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
