Cos10 cos20 -sin10 sin20 = cos(10+20) = cos30 = √3/2
Answer:
B.50
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
Right angles have a measure of 90 degrees
Hence, x + 10 + 30 = 90
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
x + 10 + 30 = 90
Combine like terms
x + 40 = 90
Subtract 40 from both sides
x = 50
Answer:
135
Step-by-step explanation:
I think you mean the LCM instead of LMC. LCM stands for Least Common Multiple. Anyway, some of the multiples of 27 are 27, 54, 81, 108, and 135. Some multiples for 45 are 45, 90, 135. We can see here that 27 and 45 share the mutiple of 135 which is the first number they have in common.
Answer:
1/1000
Step-by-step explanation:
Circular pen means you are going to use Area = Pi(r^2).
So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use

for the next part because you are not done yet.
Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).
If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(

) which gives you approximately 31.41.
Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer.