Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
Answer:
See below.
Step-by-step explanation:
Again, another great question!
This should be under physics, as it involves Work = Force * Distance. As Anne pushes the wheelbarrow with a force of 70 Newtons with respect to an angle of 50 degrees horizontal, the horizontal force is 70( cos 50 ). The distance over which the work is done is 25 meters, so work should be -
Work = ( 70( cos 50 ) )( 25 ),
Work = ( About ) 1124.87 Joules
<u><em>The work done when Anne pushes the wheelbarrow a distance of 25 meters, is 1124.87 Joules</em></u>
Answer:
60%
Step-by-step explanation:
3/5 = 6/10 = 60%
Answer:
1/6
Step-by-step explanation:
There are 4 different types of clothing
We want socks
P(socks) = 1/4
Now we have 3 different colors, 2 of which are not blue
P(not blue) =2/3
P(socks that are not blue) = 1/4*2/3 = 2/12 = 1/6
Firstly, divide 30 by 1425
Then, 1425/30 = 47.5
A Mixed number = A whole number + fraction
Your final answer = 47 1/2 trains
Hope this helps <3 Good luck with future exams!
P.S Fun Fact~~ The Mona Lisa has no eyebrows!
