Answer:
Use trig
Step-by-step explanation:
sin(55) = x/21
x = 21sin(55)
use calculator in degree mode
cos(55) = y/21
21cos(55) = y
Answer:
6 laps.
Step-by-step explanation:
On Monday she runs 2x + 8 miles, where x miles = the length of the trail.
On Tuesday she runs 4x + 4 miles and this is the same distance as Monday, so
2x + 8 = 4x + 4
4 = 2x
x = 2 miles which is the length of the trail.
So each day she runs 4(2) + 4 = 12 miles.
So on Saturday she runs 12/ 2 = 6 laps.
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
Answer:
40 minutes
Step-by-step explanation:
12 envelopes every 10 minutes.
48 envelopes = 40 minutes
The first step is to find the CHANGE. This is done by subtracting the two values and taking the absolute value. Next step is to find the ratio of the change to the original and multiplying by 100% to make it a percentage.
So;
a) change = Ι60 - 25Ι = 35.
ratio of change to original = 35:25,
multiplying by 100% will give 35/25 × 100% = 140%.
Hence it is a 140% INCREASE.
b) change = | 30 - 66 | = 36
the ratio is 36:66
multiplying by 100% = 36/66 × 100% = 0.545454... ×100% ≈ 54.5%
Hence it is a 54.5% DECREASE.
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