Let the triangle be abc with equal sides ab,bc and ca
then perimeter = 3 ab = 12a + 18b
ab = = 4a + 6b ( each side will have this length)
Now since qr is a mid segment it will be = half length of ab
So qr = 2a + 3b Answer
The equation that models the difference in the projected enrollments for
public schools and private schools as a function of the number of years
since 1985 is B - R = (-18.53t^2 + 975.8t + 48140) - (80.8t + 8049) = -18.53t^2 + 975.8t + 48140 - 80.8t - 8049 = -18.53t^2 + 895t + 40091
Answer:
look at the explanation
Step-by-step explanation:
Write an equation:
Trash a way : $25 + 0.25x
Garbage No More : $45 per month
so to make them equal we need to have enough trash in Trash A Way that it equals $45
25 + 0.25x =45
0.25x = 20
x = 80
So, you need to have 80 pounds of trash to make them equal
hope this helps!
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The formula for the area of the triangles is base x hight divided by 2 (bh/2)
The formula for the square is length times width (l x w)
therefore...
bh/2 = (12)(6) / 2 = 36 (this is the area of one triangle)
then you need to times 36 by 4 because you have 4 triangles.
36 x 4 = 144
l x w = 12 x 12 = 144 (this is the area of the square)
last you need to add the area of the triangles (144) and the area of the square (144) because that will give you the total surface area of the shape.
144+144= 288
so your answer is 288cm squared (288cm2)
Answer: I.Q. of 130 will have a z score (or standard score) of 2.
Step-by-step explanation:
Let X be a random variable that represents the I.Q. score.
Formula for Z-score : 
As per given, mean I.Q. = 100 and the standard deviation =15
For X = 130,

So, I.Q. of 130 will have a z score (or standard score) of 2.