I thought I saw this one earlier and there were people answering. Guess not.
h(t) = 5 + 98t - 4.9t²
h(0) = 5 meters
h(5) = 5 + 98(5) - 4.9(5)² = 372.5 meters
h(10) = 5 + 98(10) - 4.9(10)² = 5 + 980 - 490 = 495 meters
h(15) = 5 + 98(15) - 4.9(15²) = 372.5 meters
h(20) = 5 meters
I'll leave the graphing to you, plot those points
(0,5), (5,372,5),(10,495),(15,372.5) (20,5)
and connect the dots
It's coming down pretty fast at 5 feet up 20 seconds. That last bit is 5/495 or 1% of the trip, so probably double the average speed of around 50m/s so 100msec or .05 sec to go 5 meters.
So it's in the ground at about 20.05 seconds after launch.
Answer: 20.05 meters
7x = 42
First, do the inverse operation.
The inverse of multiplication is division.
7x/7 = 42/7
x= 42/7
x= 6
Final answer: x= 6
Notice the picture below
due to equal sides on each scalene triangle, the angle bisector cuts the horizontal in half
thus, use the pythagorean theorem to get the "b" or opposite side
also notice, that "b" is also the altitude or height "h"
what's the area? well, area of a triangle is 1/2 bh
get the area of each triangle and sum them up, that's the area of the kite
Answer:
108 cm³
Step-by-step explanation:
Formula: V = w×h×l
Solution: V = whl = 4·3·9 = 108
Hence, the answer is 108 cm³
In 1997 = 17697
Because, each year, the number of employees is expected to decrease by 2.2%, find 2.2% of 17697 and subtract from the number.
2.2/100 x 17697 = 38933.4/100 = 389.334
^that was calculating 2.2% of 17697. Now we subtract:
17697.000
- 389.334
17307.666 =
Round to the nearest whole number = 17308
Answer: in 1998, the expected number of workers is 17308