Answer:

Step-by-step explanation:
Recall the mnemonics SOH CAH TOA.
SOH means the Sine ratio is Opposite over Hypotenuse.
This implies that;

The side opposite to angle A is 4cm and the hypotenuse is 5cm.

Answer:
8 nickels and 9 dimes
Step-by-step explanation:
If all were dimes, the value would be $1.70. It is $0.40 less than that. Changing a dime for a nickel reduces the value by $0.05, so there must have been $0.40/$0.05 = 8 such changes.
There are 8 nickels and 9 dimes.
_____
<em>Check</em>
8 · 0.05 + 9 · 0.10 = 0.40 + 0.90 = 1.30 . . . the answer checks OK
This is hard in mathematical language, but there is only this way to present it. Let us denote by A the consentration of the substance and by A' its rate.
We have that b/A= t+c where c is a constant.
Hence A=b/(c+t)
By differentiating, we get that A'=-b/(C+t)^2
Then, we have that -(A)^2=A'/b
Hence at any point, we have that if we make the concentration 17 times, we have that there is a 17 times bigger , the rate will become bigger by 17*17, hence 289 times faster.
Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.
x + x + 1 = 67
2x + 1 = 67
Answer is option B.
Answer:
22.8906 sq in
Step-by-step explanation:
SA of a sphere = 4 π 
r = 2.7 / 2 = 1.35
4 x 3.14 x
= 22.8906