Answer:
she can knit 1/2 a yard of a blanket in 1 hour.
So it would look like this
1/2 a yard of blanket
-----
1 hour
It would be, she can knit one half of a yard of blanket in one hour
one half over oner hour
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
That's a 240 degree sector of a 9 inch radius circle. The whole circle has area πr² and we want 240/360 of it.
A = (240/360) π (9²) = 54 π
Answer: 54 π square inches
That's the exact answer. An approximation is
169.646 square inches
Answer:
1/512
Step-by-step explanation:
The robber has a 1/8 probability of getting each letter right. There are three letters, so you would multiply 1/8x1/8x1/8.
Answer:
1. 
2. 
and 
3. 
Example: 
Step-by-step explanation:
1. We have 
, and we have to prove that this term is equivalent to 
.
Now,
= 
{Since we know the property of exponent as 
}
= 
=
2. 
and
![- 10^{2} = - [(10) \times (10)] = - 100](https://tex.z-dn.net/?f=-%2010%5E%7B2%7D%20%3D%20-%20%5B%2810%29%20%5Ctimes%20%2810%29%5D%20%3D%20-%20100)
3. The power of products property gives
........ (1)
For example, we can write, 
