Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared),
is the side length of the pink square and
is the side length of the green square.
That means a =
and b =
, so...

35 + 50 = c^2
85 = c^2

Now we need to square the square root of 85 to find the area of the blue square.

85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.

x = 5 units
Use present value equation.
If present value of annuity equals 400,000, then you are indifferent.

where v = 1/(1+r) and A = annual payment = 800,000/20 = 40,000
PV = 400,000
After subbing in the numbers, the equation is:

Therefore at interest rate of about 7.75% you are indifferent.
Answer:
B: -2<-3
Step-by-step explanation:
The larger the negative number is, the less it's worth. So, -2 is greater than -3.
a)
sin18 = AB/80
AB = (sin18)(80) = 24.7214 m
b)
tan25 = BT/AB = BT/24.7214
(24.7214)(tan25) = BT
BT = 11.5278 m
Answer:
She completes a lap every 3 minutes and 45 seconds
Step-by-step explanation:
Divide 60 by 16.