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
Hello! The answer to your question would be as followed:
The original number of cards + number of new cards per month * number of months; 112 + 5m; cards
Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know:
</span>

<span>The new ratio is obtained like this:
</span>

.
From the above equation we get

.
then

Solving the above equation for y we get:

So
So the first tree is (400-160=240) more taller than cherry tree.
Answer:
13.75
Step-by-step explanation:
First you know there are 5 students and 5 teachers, for each student it costs 6.25 and for every teacher it cost 1.50. So 5 teachers x 1.50= 7.5. 5 students x 1.25 =6.25. 7.5 +6.25= 13.75