Answer:
(a) The angle swept by the hour hand is 297⁰30′
(b) The exact angle between the minute and hour hand is 132⁰30′
Step-by-step explanation:
Given;
(a) angle swept by the hour hand between noon and 9:55 pm
between 12 pm and 9pm, there are 9 hours = 9 x 60 = 540 mins
9.55 pm = 540 mins + 55 mins = 595 mins
The hour hand moves 0.5 degree per minute
1 mins ---------------- 0.5 degrees
595 mins --------- ?
= 297⁰30′
(b) the exact angle between the minute and hour hands at 1:25 pm
for 25 mins, the hour hand had moved 12.5 degrees
Between 1 and 5, there are 20 mins moved by the minutes hand = 20 x 6°
= 120⁰
total angle = 12.5⁰ + 120⁰ = 132⁰30′
9514 1404 393
Answer:
$222,822.57
Step-by-step explanation:
The account balance is given by ...
A = P·e^(rt)
where P is the principal invested at interest rate r for t years.
A = $25,000×e^(0.0875·25) ≈ $222,822.57
Answer:
1.) q=p-mn
2.) -6
3.) 10
Step-by-step explanation:
1.) add q to both sides you should get q+mn=p. then subtract mn from both sides and you should get q=p-mn.
2.) for 5c+23=c-1 you add 1 on both sides and should get 5c+24=c. Then subtract 5c from both sides and get 24=-4c. divide both sides by -4 and your answer should be -6.
3.) replace each number with their value. 4(2)^2-3. Then solve. 4(2)^2=16, then subtract 3 from 16 and get 13. For the next equation again replace each letter with the given value. 3(2)^2-3(3). 3(2)^2=12 and 3(3)= 9. Subtract 12 and 9 and your answer is 3. Now subtract the first equation answer from the second equations answer and you get 10
121/400 is already in simplest form.
8x-32+19=8x-13
8x-51=8x-13
16x-51=13
16x/64
X=4