Answer:
Is the question even complete ?
Step-by-step explanation:
For this problem, you can use the proportion 1696/x = 32/100 since 1696 is 32% (or 32/100) of an unknown number of students .
You can cross-multiply to get 32x = 169600
Then divide on both sides by 32 and get to 5300.
Answer: 5300 student applied last year.
Hope that helps!
Answer:
x = 8.39
y = 55.2
Step-by-step explanation:
9² + 1² - 2(9)(1)cos(50) = x²
x = 8.39
9/sin(y) = x/sin(50)
sin(y) = 0.8215200692
y = 55.23724927
Answer:
Step-by-step explanation:
10) Triangle ABC is similar to triangle EDC. This means that
AB/ED = BC/DC = AC/EC
Therefore,
(3x - 5)/32 = (5x - 5)/56
Cross multiplying, it becomes
56(3x - 5) = 32(5x - 5)
168x - 280 = 160x - 160
168x - 160x = 280 - 160
8x = 120
x = 120/8 = 15
11) Triangle JKL is similar to triangle triangle MKN. This means that
JK/MK = KL/KN = JL/MN. Therefore,
32/12 = (3x - 2)/(x + 1)
Cross multiplying, it becomes
32(x + 1) = 12(3x - 2)
32x + 32 = 36x - 24
36x - 32x = 32 + 24
4x = 56
x = 56/4 = 14
12) Triangle BCD is similar to triangle GEF. This means that
BC/GE = CD/EF = BD/GF. Therefore,
(x + 4)/51 = (2x - 7)/57
Cross multiplying, it becomes
57(x + 4) = 51(2x - 7)
57x + 228 = 102x - 357
102x - 57x = 228 + 357
45x = 585
x = 585/45 = 13
It is a whole number and integer.
