Using Pythagoras in the first question
c=

which is approximately 16.5
for the second question
we also use Pythagoras

Let number=x
(X/2)+6=8
First subtract 6 on each side to isolate X on one side.
(X/2)=2
Now to fully isolate X by itself, just multiply 2 on each side.
X=4
it will be way easier if u draw it
Answer:
4y^{2}+3y
Step-by-step explanation:
First you need to distribute the values.
(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials
You Should get
8y^{2}+6y
Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.
8y^{2}+6y/2
Doing this you will get
4y^{2}+3y
Answer:
Step-by-step explanation:
The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...
1 : √3 : 2
Side x is thus twice the length of short side 4, so x = 8.
Side y is √3 times the length of short side x-6 = 2, so y = 2√3.
_____
If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.
x = √(4² +(4√3)²) = √64 = 8
y = √(4² -2²) = √12 = 2√3