Ah...Trigonometry is fun!
The law of sines states:

The transitive property (switching the orders of the equations) applies here. Therfore, we can say that

We then plug in our given values to find C


Solving, we get 0.8557316387.
We're not done yet!We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=
58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation

.
:)
Answer: 2,444
Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!
Answer:
0.9797
Step-by-step explanation:
We have X = number of insects in the 25bgrams of butter
Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams
Then insect amount in 25 grams =
E(X) = 30/100 x 25
= 0.3 x 25
= 7.5 fragments of insects
Using the poisson function in Excel, the probability of at least 3 crunchy critters
1 - p(X<=2)
p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715
1 - 0.020156715
= 0.9797
6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280
-280÷-56=5
y=5
2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8
y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.
Answer:
14 students walk
Step-by-step explanation:
40 total
22 girls
18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.
9 girls walk
5 + 9 = 14 total.