Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) = 
tan (∠s) = 
Set them equal to each other to get:
= 
Solve:

Part B:
Using tan (∠s) = 
We get:
meters
Hope that helps!
B) 14.
If you start with subtracting the 8 pages from 50, you get 42 remaining pages. Then it says 2/3 of the REMAINING pages so you divide 42 into thirds. 42/3=14. You want 2/3 of that, so you multiply the 14 by two to get 28 (it's like there are three piles of 14 pages and you want only 2 out of the three piles). So now you've used 28 pages + the original 8. You've used a TOTAL of 36 pages. Subtract 36 from 50 and you get 14 left.
Answer:
Probability that the piece will be filled with fudge is 4/15 = 0.2667
Step-by-step explanation:
In the question, a box of chocolate contains 15 identical looking pieces. These chocolate pieces are filled in the following way: There are
3 caramel
2 cherry cream
2 coconut
4 chocolate whip
4 fudge
So this makes 3+2+2+4+4= 15
As the total number of chocolate pieces are 15
Let E be the event that the chocolate piece is filled with fudge
As we know Probability of an event is
P(E) = number of favorable outcomes / number of possible outcomes
Here the favorable is the number of pieces filled with fudge and number of possible outcomes are 15 as there are 15 types of chocolate pieces. So the probability that the piece selected will be filled with fudge is:
P(E) = 4/15 = 0.2667
Answer:
Step-by-step explanation:
There are 36 inches in a yard.
1 /36 = x / 450 Multiply by 450
450/36 = x
x = 12.5 yards.