Forumla for circumference is
pi x diameter
or
pi x 2 x radius
so we are going to use the second formula to estimate the answer without a calculator.
3 x 2 x 125
3 x 2 =6
6 x 125 = 750.
the closest answer is 785m. That is the answer.
Answer: 2 hours
Step-by-step explanation: Divide 175 (distance traveled) by 3.5 (time traveled). The answer is 50 (km per hr). Divide 100 (km) by 50 (km per hr). The answer is 2 hours.
Answer:
(4.0x - 12)i . (5/3)i
Step-by-step explanation:
Potential energy = Workdone
Workdone = Force x distance
Force = F = (4.0x - 12)i N
Workdone = 20J
At x= 0
F = -12i
/F/= 12
Workdone = Force x distance
20 = 12 x distance
Distance = 20/12
= 5/3
In the vector form distance is written as (5/3)i
Since Workdone/ Energy is scalar, U can be expressed as a dot product of the vectors of Force and distance :
(4.0 x - 12)i . (5/3)i
3/8*12/7 = 36/56 = 9/14 (simplify)
Solution:
Using Substitution Method:
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
get the value of x from Equation 2
x=3y-5 (Equation 3)
Put the value of x from Equation 3 in Equation 1
-4(3y-5)+7y=-5
-4(3y)+20+7y=-5
-12y+7y=-5-20
-5y=-25
Negative sign on both sides cancels each other
y=25/5
y=5
Putting value of y in equation 3
x=3(5)-5
x=15-5
x=10
Therefore, [x,y]=[10,5]
Using Elimination Method
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
Multiply equation 2 with -4 in order to eliminate the x term
-4(x-3y)=-5*4
-4x+12y=20 (Equation 3)
Adding Equation 1 and 3
-4x+7y=-5
-4x+12y=20
+ - = - (Change Of Sign with x and y terms)
-----------------
0x-5y = -25
-5y=-25
y=5
Substituting y’s value is Equation 1
-4x+7(5)=-5
-4x+35=-5
-4x=-40
Cancellation of negative sign on both sides
x=40/4
x=10
[x,y]=[10,5]
