Aldrin and Jan are standing at the edge of a huge field. At 2:00 p.m., Aldrin begins to walk along a straight path at a speed of 3 km/h. Two hours later, Jan takes a straight path at a 608 angle to Aldrin’s path, walking at 5 km/h. At what time the two friends be 13km apart?
Answers
Answer: After 2:29 hours both Aldrin and Jan will be 13 km apart from each other.
Time at that instant will be : 4:00 pm + 2.29 hours= 6:29 pm
Step-by-step explanation:
According to the figure:
Ab= c = 13 Km
AC = b = =5t Km
After two hours the distance covered by the Aldrin say till point D :
Since, we are interested in determining the time at which Aldrin and Jan both 13 Km apart. For that Aldrin Additional distance covered by the Aldrin from point D to B is :
CB= a = CD+DB= 6+3t
We will apply Laws of cosines:
On solving the the above equation by quadratic formula we get two values of 't'
1) t = 2.49 hours , 2) t = -2.80 hours
Since,time cannot be in negative so we will ignore the negative value of t
t = 2.49 = 2:29 hours ,(0.49 hour=0.49 × 60 min=29.4 min)
After 2.49 hours after the walking of Jan. Both Aldrin and Jan will be 13 km apart from each other.
Time at that instant will be : 4:00 pm + 2:29 hours= 6:29 hour
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A = LxW
360 square feet = L(5/8L)
L^2 = 576 square feet
L = 24 feet
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Answer:
Step-by-step explanation:
C)0
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Answer:
250,000 to 700,000 parts
Step-by-step explanation:
For the lower ratio of 0.5, we have to get 0.5 flouride parts/1 gallon of water equivalent to (some fluoride parts)/ (500,000 gallons of water). we can multiply 500,000 by 0.5 to get 250,000 as our lower limit. Similarly, we can multiply 500,000 by 1.4 to get 700,000 as our upper limit
Answers
days present = 216 days
percentage of presence = 60%
Find the total number of days the school was opened.
216 days is the part of a whole. 60% is the percentage of the part to the whole.
To get the whole, we need to divide the part by its percentage
216 ÷ 60% = 360 days
The school was opened for 360 days.
216 days ⇒ 60%
x days ⇒ 100%
60x = 216·100
60x = 21600
x = 21600/60
x = 2160/6
x = 360 days
Answer: 360 days
(1 4x + 4) 8
55°
Answers
Answer:
(14x+4)8=55 were x = 3.07.
Step-by-step explanation:
(14x + 4) 8 = 55
-8 -8
14x + 4 = 55
- 4 -4
14x = 55
14
x = 3.07