Answer: The answer to this question is x=-1/2
Step-by-step explanation: Multiply the left hand side by - and the right hand side by 4 in order to remove the brackets. After removing the brackets we get: 5+6x=20x+12.
Then we add the like terms.
5-12=20x-6×
-7=14x
x=-1/2
Answer:
512cm^2
Step-by-step explanation:
Let's imagine cutting the square down that diagonal. Now, we have two isosceles right triangles with a hypotenuse with length 32cm. Let's take one of those triangles for now and focus on it. Let's give the one of the legs of a triangle some length x. Since both legs are the same length, by the Pythagorean theorem:

Since this leg makes up one side of the square, we can use it to calculate the area of the square, which is just the side length squared:

I believe this is the way to solve it.
22 - 2 = 20
20 is 90.9% of 22
So the probability of choosing a student with a sibling at random should be 90.9% (or you can round up to 91%)
I hope this helps :)
I think the answer is D but im not sure
We know that
<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity
</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105
then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105
the answer is
cos (105°)