Answer:

Step-by-step explanation:
To evaluate :

Solution:
Two negatives multiply to become a positive.
Thus, we can remove parenthesis by reversing the signs of the fraction by multiplying the negative outside.
⇒ 
Since the denominators are same for both fractions, so we simply add the numerators.
⇒ 
⇒
(Answer)
Answer:
w = -20
Step-by-step explanation:
-
+ 9 = 13
Shift the (+9) to the other side of the equation. (+9) will turn into (-9).
-
= 13 - 9
= 4
Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).
-w = 4 × 5
= 20
Multiply both sides of the equation by (-1) so that -w will turn into w.
w = (-1) × 20
w = -20
The volume of the cone is πr²h/3 where r=3/2 and h=5. So volume=15π/4=11.78 cu in.
Answer:
It will take 4 years to deplete the account.
Step-by-step explanation:
Prudential Reality has an escrow account that contains $20,000.
The client withdraws $5000 now and that leaves $15000.
After one year an amount of $4500 is withdrawn which leaves ($15000 - $4500) = $10500
After two years an amount of $4000 is withdrawn which leaves ( $10500 -$4000) = $6500.
After three years an amount of $3500 is withdrawn which leaves ( $6500 - $3500) = $3000
After four years an amount of $3000 is withdrawn which leaves ($3000 - $3000) = $0 in the account.
Hence it will take 4 years to deplete the account.
Answer:
238°
Step-by-step explanation:
In a cyclic quadrilateral, the pair of opposite angles add up to 180 degrees.
So, the angle "21x - 2" and the angle "38x + 5" add up to 180.
So, we can write an equation and solve for x first:

x = 3
Now, Arc FGH is DOUBLE of Angle A. Angle A is "38x + 5". We know x, so angle A is:
Angle A = 38x + 5 = 38(3) + 5 = 119
Thus, Arc FGH = 2 * 119 = 238°