Answer:
C = 25
a = 10.72
b = 11.83
Step-by-step explanation:
The easiest thing to solve for right now is C- all angles in a triangle add up to 180 degrees. So we can subtract 65 and 90 from 180 to get the measure of angle C, 25 degrees.
Then we can use trigonometric functions: SOH CAH TOA
sinC = opposite / hypotenuse
sin25 = 5 /hyp
5/sin25 = hyp
hyp (aka b) = 11.83
cosC = adjacent / hypotenus
cos25 = a/11.83
11.83*cos25 = a
a = 10.72
C = 25
a = 10.72
b = 11.83
A) Substitute -6 for where x is in the expression...
g(-6) = 3(-6)^2 + 2(-6) + 5
g(-6) = 3(36) + 2(-6) + 5
g(-6) = 108 + 2(-6) + 5
g(-6) = 108 - 12 + 5
g(-6) = 96 + 5
g(-6) = 101
b) Substitute (p + 2) into where x is...
g(p + 2) = 3(p + 2)^2 + 2(p + 2) + 5
g(p + 2) = 3(p + 2)(p + 2) + 2(p + 2) + 5
g(p + 2) = 3(p^2 + 4p + 4) + 2(p + 2) + 5
g(p + 2) = 3p^2 + 12p + 12 + 2(p + 2) + 5
g(p + 2) = 3p^2 + 12p + 12 + 2p + 4 + 5
g(p + 2) = 3p^2 + 14p + 21
Answer:

Step-by-step explanation:
In this exercise, we want to model an equation to represent the cost that Gabriel will when registering with a gym.
from the given information, we can model the cost after the equation of a straight line
y= mx+c
so "C" is the cost, while $40 is a fee dependent on "t" the number of months subscribed
and $100 is the joining fee, which is a constant term

Answer:
Make it as simple as possible, and use 1 and −1 .
1×1×1×1×1×−1×−1×−1×−1×−1=
15×(−1)2×(−1)2×−1=
1×1×1×−1=
−1.
So, the sign will be negative.
Another way of thinking about this is to not even think about the positive integers, as they won’t affect the sign. A positive integer times a positive integer is still a positive integer; a negative integer times a positive integer is still a negative integer.
So, you have five negative integers. Think of it like two negative integers, two more negative integers, and a single negative integer. Since two negative integers form a positive integer, you now have a positive, positive, and negative integer. This forms a negative sign.
Answer:
b (5 cm)
Step-by-step explanation:
because i said so and im cool