Answer:
D
Step-by-step explanation:
So first you simplify
Step 1: (2•3•7x3y6) (2•3xy6)
Step 2: you divide x3 by x1 = x (3-1) = x2
step 3: You cancel out y6 as it appears on both sides of the fraction line.
step 4: cancel out 2 as it appears on both sides.
step 5: cancel out 3 as it appears on both sides.
step 6: final result 7x2
First find a common denominator so you can compare them easier. I chose 12. Multiply the numerator and denominator by the number that makes the denominator 12. 2/3 is multiplied by 4 and 2/4 is multiplied by 3. You are left with 8/12 and 6/12. 8/12 is bigger so it looks like
8/12>6/12
Hope this helps!
The problem is illustrated by the figure shown below.
It is clear that ΔABC is a right triangle because
(a) it is inscribed in a circle,
(b) Its sides satisfy the Pythagorean theorem because
6² + 8² = 36 + 64 = 100, and 10² = 100.
Therefore, AC is the diameter of the circumscribing circle, and the radius is
r = 5.
The area of the circumscribing circle is
A₁ = π(5²) = 25π
The area of the triangle is
A₂ = (1/2) 8*6 = 24
The required area, of the circumcircle minus that of the triangle (shaded area) is
A₁ - A₂ = 25π - 24 = 54.54 square units.
Answer:
54.54 square units.
Let y= years ago when dad's age was 4 times son's age
60-y=4(30-y)
60-y=120-4y
-y+4y=120-60
3y=60
y=60/3
y= 20 years ago
Then 30-20= 10 yrs. old, the boys age when his dad was 40 years old.