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

3 0

3 years ago

The population of the United States was about 280 million in 2000 and about 310 million in 2010. What was the annual rate of cha

JulsSmile [24]

To find the annual rate of chnge, we have to use the following formula

$\frac{P(2010)-P(2000)}{2010-2000}$

P(2010) represents the population in the year 2010 and P(2000) represents the population in the year 2000 .

Substituting the values, we will get

$\frac{310-280}{2010-2000} = \frac{30}{10} = 3 \ million \ per \ year$

8 0

3 years ago