Sin J = cos K
sin J = cos (90 - J)
So, K = 90 - J
Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.
Phil had 2 quarters, 1 dime and 3 pennies = 63 cents
Paul had 2 nickles = 10 cents
Total 63 + 10 = 73 cents
If Paul had 1 cent more than Phil, then Paul would have 37 cents and Phil would have 36 cents
but Paul had 10 cents
10 cents + 27 cents = 37 cents
so
1 quarter and 2 pennies Phil gave to Paul, total 27 cents
Answer
Phi gave Paul 1 quarter and 2 pennies.
2 small packs
150 small
148 get split --> two left
Total amount = Pe^(rt)
where
P=principal
e=2.7182818284...
r=0.035
t=3 (years)
Total amount
= 7565(e^(0.035*3)
=$ 8402.53
Answer:
Step-by-step explanation:
- The speed of the boat in the lake = x
- The speed of the current = 3 km/h
<u>Required equation:</u>
- 54 / (x + 3) + 42 / (x - 3) = 96/x
- 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
- 9x² - 27x + 7x² + 21x = 16x² - 144
- 6x = 144
- x = 144/6
- x = 24 km/h
