Answer:
The answer is 17
Step-by-step explanation:
To find the answer, we first have to put the values in for a and b.
√225 + ║2 - 3(1/3)(4)║
√225 + ║2 - 4║
√225 + ║-2║
√225 + 2
15 + 2
17
<span>1) force to pull it up 0.8 m
= 101.93 * 0.8
= 81.54 N
2) force for horizontal displacement
which can be found out by subtracting above value from total force applied
= 200-101.93
=98.07
Now finding horizontal displacement
98.07 = 101.93 * d
d= 0.96 m
Now since we found out hori. and vertical dist. apply Pythagoras theorem to find out length of ramp.
l^2= 0.96 ^2 + 0.8 ^2
= 0.9216 + 0.64
= 1.56
L = 1.25 m approx.</span>
Answer:
as an decimal: 0.25
as an percent: 25%
Step-by-step explanation:
Answer:
The radius is 0.398 feet to produce a perfect lawn for the lawnmower.
It is given that the width of the lawnmower is 2.5 feet and the length of the rope is 25 feet.
It is required to calculate the radius (R) of the pole that will produce a perfect lawn.
What is a circle?
It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have,
Width of the lawnmower = 2.5 feet
Length of the rope = 25 feet
For the perfectly mowed lawn, it means the lawnmower width which is 2.5 feet must wrap the pole with radius R, mathematically:
The perimeter of the pole = width of the lawnmower
2πR = 2.5
R = 0.398 Feet ( π = 3.14 )
Thus, the radius is 0.398 feet to produce a perfect lawn for the lawnmower.
You have the correct approximate value of k. The part after that is where things get a bit strange.
You don't plug in t = 5 again. We don't know the value of t yet. We're trying to solve for it.
We do know u(t) is 135 as we want the temperature to be 135 degrees. Plug this in and isolate t.
So
u(t) = 70+380e^(-0.1004183888t)
135 = 70+380e^(-0.1004183888t)
135-70 = 380e^(-0.1004183888t)
65 = 380e^(-0.1004183888t)
380e^(-0.1004183888t) = 65
e^(-0.1004183888t) = 65/380
e^(-0.1004183888t) = 13/76
-0.1004183888t = ln(13/76)
-0.1004183888t = -1.7657839828248
t = -1.7657839828248/(-0.1004183888)
t = 17.5842692152893
So it takes about 17.58 minutes for the item to cool to the desired temp