see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC

the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem

solve for BD

substitute the values



therefore
<u>the answer is</u>
the height of the triangle is 
Answer:
12.63 km/hr
Step-by-step explanation:
Given the distance=240km
At 12 km/hr it will take =240/12 =20
time for Express train = 20-1=19
speed=240/19=12.63...km/hr
- (2x + 2) - 1 = -x - (x + 3)
-2x - 2 - 1 = -x - x - 3
-2x - 3 = -2x - 3
This is an identity and x can be any value
Answer many solutions
Answer:
A) 90
Step-by-step explanation:
"The sum of two integers is 23" becomes
a + b = 23
"the positive difference of the same two integers is 13" becomes
a - b = 13 (difference means subtract)
Now solve the system..
a + b = 23
a - b = 13 *use addition or elimination method, since b has opposite coefficients...
2a = 36 ( we add the two equations together)
a = 18 (divide by 2 on both sides)
Since a = 18, 18 + b = 23, gives us b = 5. (18 + 5 = 23)
ab = (18)(5) = 90
Answer:
A. $54,550.84
Step-by-step explanation:
48,000(1.0325)^4
48,000(1.136475928)
54,550.84455