Answer:
yes ; 17.5 ft
Step-by-step explanation:
Triangle PRQ is isosceles
the base angle are equals
we know two legs, so we can find the tangent of angle x
tan = opposite/adjacent
tan = 7/16 = 0.4375
the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)
the roof is safe
B we can use the Phytagorean theorem to solve this
PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft
(2,110)(5,114.5)
slope = (114.5 - 110) / (5 - 2) = 4.5 / 3 = 1.5
y = mx + b
slope(m) = 1.5
use either of ur points..(2,110)...x = 2 and y = 110
now we sub and find b, the y int
110 = 1.5(2) + b
110 = 3 + b
110 - 3 = b
107 = b
so ur equation is : y = 1.5x + 107 <==
Given:





To find:
The variance. of combined set.
Solution:
Formula for variance is
...(i)
Using (i), we get




Similarly,




Now, after combining both sets, we get




Therefore, the variance of combined set is 15.4.
Answer:
A. 11/36
Step-by-step explanation:
Add all the numbers together(36), and then see how many out of that number are the vibrant blue shirt. Since they are asking the probability of you being given a vibrant blue shirt, and there are 11 out of the 36 shirts, therefore you have an 11/36 chance that you will be given a vibrant blue shirt.
-3.
Coefficients are numbers that have a variable next to it, thus leading it to be -e of the -3x.
Hope this helps!