Simplify the square root of 7 divided by square root 27
1 answer:
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Answer:
<em>Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.</em>
Step-by-step explanation:
Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.
We know that,
So, the <u>speed of Pratap with the current</u> will be: miles/hour
and the <u>speed of Pratap against the current</u> will be: miles/hour.
Suppose, the rate of Pratap in still water is and the rate of current is
.
So, the equations will be........
Adding equation (1) and (2) , we will get......
Now, plugging this into equation (1), we will get.....
Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = = 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
Answer:
Area of triangle= 1/2 x base x height
Area of triangle
Therefore the area of the triangle is 45.5inch