Answer:
x = 30
Step-by-step explanation:
If you want to translate the phrase 30 added to a number that is decreased by 5 into a math expression, you can do it like this:
a number ... n
30 added ... + 30
decreased by 5 ... - 5
Now you just have to put this together: n + 30 - 5 or n - 5 + 30. So, the correct result is a.
Answer:
You would expect to get 50 heads
Step-by-step explanation:
Each time you flip a coin you will either get heads or tails. This means that you have a 1/2 probability of getting heads. If you use this then you need to multiply 1/2 and 100 to get the expected amount of heads. Multiplying by a half is just dividing by 2. Therefore, the answer is 100/2 = 50. The answer is 50 heads
This is a mistake, there is no shading like there is supposed to be, tell your teacher she will understand that this page got printed wrongly
<span>
10. Rewrite with only sin x and cos x.sin 2x - cos 2x</span>
sin2x =
2sinxcosx<span>
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1-
2(sinx)^2</span>
sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2
sin2x- cos2x=2sinxcosx-1+2(sinx)^2
<span>
the answer is the letter <span>
b) 2 sin x cos2x - 1
+ 2 sin2x</span></span>
11. Find the exact value by using a half-angle identity. sin 22.5°Using the half angle formula you get:sin2(θ)=12[1−cos(2θ)]if θ=22.5° then 2θ=45°so you get:sin2(22.5°)=12[1−cos(45°)]sin2(22.5°)=12[1−√2/2]=2−√24and square root both sides:sin(22.5°)=±√2−√24=±0.382so
sin(22.5°)=0.382the answer is the letter D) one half times the square root of quantity two minus square root of two
15. Verify the identity. cot x minus pi divided by two. = -tan x
Cot(x-pi/2)=-tan(x)
sin(A − B) = sin A cos B − cos A sin B
sin(x – pi/2) = sin x cos (pi/2) − cos x sin (pi/2)=-cosx
cos(A − B) = cos A cos B − sin A sin B
cos(x− pi/2) = cos x cos pi/2 − sin x sin pi/2=-sinx
Cot(x-pi/2)=cos(x-pi/2)/sin(x-pi/2)
= (-sinx)/(-cosx)=-tanx--------------ok
