Assuming metric units, metre, kilogram and seconds
Best approach: draw a free body diagram and identify forces acting on the child, which are:
gravity, which can be decomposed into normal and parallel (to slide) components
N=mg(cos(theta)) [pressing on slide surface]
F=mg(sin(theta)) [pushing child downwards, also cause for acceleration]
m=mass of child (in kg)
g=acceleration due to gravity = 9.81 m/s^2
theta=angle with horizontal = 42 degrees
Similarly, kinetic friction is slowing down the child, pushing against F, and equal to
Fr=mu*N=mu*mg(cos(theta))
mu=coefficient of kinetic friction = 0.2
The net force pushing child downwards along slide is therefore
Fnet=F-Fr
=mg(sin(theta))-mu*mg(cos(theta))
=mg(sin(theta)-mu*cos(theta)) [ assuming sin(theta)> mu*cos(theta) ]
From Newton's second law,
F=ma, or
a=F/m
=mg(sin(theta)-mu*cos(theta)) / m
= g(sin(theta)-mu*cos(theta)) [ m/s^2]
In case imperial units are used, g is approximately 32.2 feet/s^2.
and the answer will be in the same units [ft/s^2] since sin, cos and mu are pure numbers.
<span> $947.50
</span> - $189.50
_________
$758.00
So, to do this first we start at the far right and go to the left.
$947.50 - $189.50_________
$ .00
0-0= 0
5-5= 0
You then bring down the decimal.
$947.50 - $189.50_________
$ 8 .00
Because you cannot subtract 9 from 7, you borrow one from the number to the left of it and 7 turns into a 17 as 4 turns into a 3. So then, 17-9=8.
17
$93-7-.50 -7- = This means the 7 has been canceled out and turned - $189.50 into the 17 above _________ 8 .00
This happens again with subtracting 3 from 8 in which you take one from the number beside which happens to be 9 and make it 8.
17
$8-3--7-.50 -7- and -3- = This means the 7 has been canceled out and turned into the 17 above
- $189.50 _________ $ 58 .00
So then, 13-8=5. Finally 8-1= 7
$947.50
- $189.50
_________
$758.00
Answer:
$1,326
Step-by-step explanation:
You are going to want to use the simple interest formula for this.
<em>I = interest amount
</em>
<em>P = principal amount
</em>
<em>r = interest rate</em>
<em>t = time</em>
First, change 1.7% into its decimal form:
1.7% -> 
-> 0.017
Next plug in the values into the equation:
After three years, he must repay $1,326.
Answer:No
Step-by-step explanation:
Answer:
5½ = x
Step-by-step explanation:
-6 - 6
______________
-x = -5½
x = 5½
I am joyous to assist you anytime.
