We have been given that the speed of elephants is 5km/h east and his speed is 41km/h west.
We have to find after how long will he be 13km from the herd.
Since the biologist is going to the west and the elephants towards east, their relative speed will be calculated by adding their respective speeds.
So final their relative speed will be:
= 5 km/h + 41 km/h
= 46 km/h
Now we want their distance to be 13 km and we have calculated relative speed as 46 km/h.
So using formula :
Speed = Distance / Time,
We calculate time as :
= Distance / Speed
= 13 / 46
= 0.28 hours
= 16.8 minutes.
So after 16.8 minutes, biologist will be 13 km away from the herd.
Answer:
y= 2x-4
Step-by-step explanation:
Answer:
6 < 2n = 4
Step-by-step explanation:
ig
Answer:
8 5/12 > 8 3/8
Step-by-step explanation:
The integer parts of the numbers are the same, so we can find the desired result by comparing the fractions. To do that, we can subtract one from the other, or we can simply write them both with a common denominator.
<u>Subtracting</u>:
5/12 -3/8 = (5·8 -12·3)/(12·8) = 4/(12·8) = 1/24 > 0
so we have ...
5/12 > 3/8
8 5/12 > 8 3/8
__
<u>Common Denominator</u>:
The denominators of the fractions are 12 and 8. The least common multiple of these numbers is 12·2 = 8·3 = 24. Then the numbers can be written as ...
8 5/12 = 8 10/24
8 3/8 = 8 9/24 . . . . . . this is less than 8 10/24
Then the appropriate relation between the numbers is ...
8 5/12 > 8 3/8
x^2 -12 x = -28
(-12/2) ^ 2 =36
x^2 -12 x + 36 = -28 + 36
x^2 -12x + 36 = 8
(x-6)^2 = 8
take the square root of each side
x-6 = sqrt (8) x-6 = -sqrt (8)
you get a positive and a negative when taking the square root
x= 6 + sqrt (8)
x = 6 - sqrt (8)
sqrt (8) = 2 sqrt (2)
x= 6 + 2 sqrt (2)
x = 6 - 2 sqrt (2)
Answer:
x= 6 + 2 sqrt (2)
x = 6 - 2 sqrt (2)
