Kevin is 6 and Daniel is 3 now (i.e., K is 3 years older than D)
2 years ago K was 4 and D was 1 (i.e., K was 4 times as old as D)
Answer:
328 feet
Step-by-step explanation:
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Step 1
Note that
that 11°50' is just 11 degrees and 50 minutes
60 minutes = 1 degree,
thus 50 minutes = x degree
50/60 degrees
= 0.83°
Hence: 11°50' = 11.83°.
Step 2
We solve using Trigonometric function of tan
tan theta = Opposite/Adjacent
theta = 11.83°
Adjacent = 1568 feet
Opposite = Height of the cliff = x
tan 11.83° = x/1568
Cross Multiply
x = tan 11.83 × 1568
x = 328.429195 feet
Approximately = 328 feet
The height of the cliff is 328 feet
The ratio for the cups of orange juice for every cup of fruit punch is 3:4.
Since now the cups of orange juice ratio has been altered, the cups of fruit punch ratio needs to be equally altered as well.
12/3 = 4
4(4) = 16
Now that they are equally altered, the new ratio would be 12:16
Given : 2D + 1L = 100,
And D + L = 70
This is a simultaneous equation can be solved as follows
2D + L = 100
- D - L = -70
————————————-
D - 0 = 30
i.e D (number of dudes) = 30
Therefore, since we already know the fraternity sold 70 tickets in total,
70 -30 = 40 (the number of ladies attended)
Answer:
I used cosine rule to find length b
