Answer:
C. 52.5
Step-by-step explanation:
The total from W(-20) to Z(120) is 140.
You can add up all of the numbers in the ratio, 2:3:3, to get 8
Divide 140 by 8 to get 17.5
Multiply 17.5 times the number in the ratio for each segment, so the new ratio would be 35 : 52.5 : 52.5
Since you are trying to find segment XY, which was the 2nd number in the ratio, you would get your answer as 52.5
A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
Important notes:
3 sides 1 angle - COSINE RULE
2 sides 2 angle - SINE RULE
since, the question wants to find the length of BC. In the end we will have 3 sides and 1 angle and use cosine rule
formula of cosine rule:
a² = b² + c² - 2bc Cos A° (to find the length)
Cos A° = b² + c² - a² / 2bc ( to find the angle, if there is given three sides and have to find the angle)
So just substitute,
a² = 13² + 15² - 2(13)(15) Cos 95°
a = 20.6 or 21
Answer:
<u>5 eggs and 3.33 cups of sugar</u>
Step-by-step explanation:
3 eggs are required to make 30 cookies
1 cookie needs 3/30 eggs
so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>
2 cups of sugar is required to make 30 cookies
1 cookie needs 2/30 cups of sugar
so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>