Area of Big Rectangle Area of Small Rectangle
A = L x w A = L x w
= (25 + 2w)(10 + 2w) = 25 x 10
= 250 + 50w + 20w + 4w² = 250
Big - Small
74 = 250 + 70w + 4w² - 250
74 = 4w² + 70w
0 = 4w² + 70w - 74
= 2(2w² + 35w - 37)
= 2[2w² -2w | +37w - 37]
= 2[2w(w - 1) | +1(w - 1)]
= 2(2w + 1)(w - 1)
0 = 2 0 = 2w + 1 0 = w - 1
FALSE so disregard w = -1/2 w = 1
NEGATIVE so disregard
Answer: 1 meter
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
Well if the cubic unit is one, then we can assume that the domain is -1<0
Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
