Step-by-step explanation:
let the University of Miami enrolment be x
so the University of Texas at Austin has three times = 3x
The University of California, Berkley has 3,000 more than twice the number of students at the University of Miami.
this can be translated as = 3000+2x
in total, the enrolment is 96,000
therefore
x+3x+3000+2x=96000
we can now solve for x
6x=96000-3000
6x=93000
divide both sides by 6 we have
x=15500
1. The University of Miami enrolment is 15500 students
2. The University of Texas at Austin has three times = 3x
=3*15500
= 46500 students
3. The University of California, Berkley has
= 3000+2x
= 3000+2(15500)
=3000+46500
=49500 students
Answer:
22 bucks
Step-by-step explanation:
I feel you brother. It do be hittin hard.
Answer: Line AB = 5.2
Step-by-step explanation: We start with triangle ACD, with two sides given and angle A which shall be the reference angle can be calculated as,
SinA = opposite/hypotenuse
Where the opposite is 4.3 (line facing the reference angle) and the hypotenuse is 5.6 (line facing the right angle)
SinA = 4.3/5.6
SinA = 0.7679
By use of a calculator or a table of values
A = 50.17 degrees.
Having been told that both angles DAC and BAD are equal, then we move to triangle ADB where the reference angle is 50.17 (BAD) and the opposite is 4 (line facing the reference angle) and the unknown side is the hypotenuse (line AB).
Sin 50.17 = opposite/hypotenuse
Sin 50.17 = 4/AB
0.7679 = 4/AB
By cross multiplication we now have
AB = 4/0.7679
AB = 5.2090
Approximately to one decimal place,
AB = 5.2 units
