AE = AC = 4
m<CAB = 60 (equilateral triangle)
m<CAE = 90 (square)
m<BAE = 150 (= 60 + 90)
Triangle BAE is isosceles since AB = AE;
therefore, m<AEB = m<ABE.
m<AEB + m<ABE + m<BAE = 180
m<AEB + m< ABE + 150 = 180
m<AEB + m<AEB = 30
m<AEB = 15
In triangle ABE, we know AE = AB = 4;
we also know m<BAE = 150, and m<AEB = 15.
We can use the law of sines to find BE.
BE/(sin 150) = 4/(sin 15)
BE = (4 sin 150)/(sin 15)
BE = 7.727
If a random sample of 20 persons weighed 3,460, the sample mean x-bar would be 3460/20 = 173 pounds.
The z-score for 173 pounds is given by:
Referring to a standard normal distribution table, and using z = 0.66, we find:
Therefore
The answer is: 0.2546
∠2 = ∠7
4x+2 = 5(x-2)
4x+2 = 5x-10
x = 12
Side length: 2 cm.
Volume of a cube:
V=a^3
(where V is volume, and a is side length)
If v=8, the formula would now be 8=a^3
Take the cube root of both sides
a=2.
Answer:
2.0625
Step-by-step explanation:
2+1/16
= 2.0625
= 206.25%