Answer:
1489.2
Step-by-step explanation:
9*102-5.6*102=
102(9+5.6) =
102(9.0+5.6) =
102(14.6) =
102*14.6=
14.6*(100+2) =
(14.6*100+14.6*2) =
(1460+(14+.6) *2) =
1460+(28+1.2) =
1460+(28.0+1.2) =
1460+29.2=
1460.0+
29.2
=1489.2
This is Pythagorean's Theorem, with one leg being 10 and the hypotenuse being 16. Using those values in the theorem looks like this:

and

and

so

Take the square root of both sides to find that b = 12.5
Answer:
58 degrees
Step-by-step explanation:
The little square in the corner signals a right angle/a 90 degree angle. If x and 32 add up to 90, then x is 58.
Let’s condense the original expression and see if that’s one of the answers
-1/2(-3/2 x + 6x + 1) - 3x
First we distribute the -1/2
((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x
3/4x - 3x - 1/2 -3x
Combine like terms
(3/4 x - 3x - 3x) -1/2
-21/4 x - 1/2
We could make this a mixed number
-5 1/4 x - 1/2
(Mixed number: 5 times 4 plus one gets the numerator)
So the answer is D