Answer: AC=12 cm
Step-by-step explanation:
To solve this problem you must apply the law of sines, as you can see below:
Where:
a=13
A=85.2°
B=71.6°
Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:
X+3=61
x=61-3=58
58+37=95
180-95=85
so x=58 and y=85
From the set {21, 37, 45}, use substitution to determine which value of x makes the inequality true.x - 8 > 29
45
none of these
37
21From the set {21, 37, 45}, use substitution to determine which value of x makes the inequality true.x - 8 > 29
45
none of these
37
21
Answer:
B
Step-by-step explanation:
the side length is equal to sqrt(33)
sqrt(33) = 5.74, closest to 5 3/4
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
