L = 20 and W = 15
Explanation:
Let's review what is known about the rectangle in question - the area is 300 cm squared and the ratio of the Length to the Width (which I'll shorten to L and W) is 4:3.
Let's start with the ratio. We know that they are related to each other - 4 of a basic unit of length for L and 3 of that same basic unit of length for W. So we can say that
L =
4
x
and W =
3
x
We also know from the formula for the area of a rectangle that LW = Area of the rectangle. Substituting in the terms with the x's in them gives us
(
4
x
)
(
3
x
)
=
300
so let's solve for x:
12
x
2
=
300
x
2
=
300
12
=
25
x
=
√
25
=
5
(ignoring the negative root since that makes no sense in this application)
Substituting x back into our equations for L and W, we get
L =
4
(
5
)
=
20
and W =
3
(
5
)
=
15
Checking our work - there is a ratio of L:W of 4:3. And LW =
20
⋅
15
=
300
Hope this is what you meant
Find two points where the line intersects with an x and y value that are whole numbers.
The line crosses (0,3) and (-2,-1)
The slope is the change in Y divided by the change in x.
The change in Y is -1 - 3 = -4
The change in x is -2 - 0 = -2
The slope becomes -4 / -2 which simplifies to 2
The answer is D.
Answer:
4%
Step-by-step explanation:
Volume of sphere
v = (4/3)πr^3
Volume moon/ volume planet
We don't actually need the numeric value of the radius
just the 35% ratio
Radius of moon = .35 radius of planet
Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3
Cancel like terms
Vm / Vp = .35^3
Vm / Vp = 0.042875
Expressed as a percentage
Vm / Vp = 4.2875%
Rounded
Vm / Vp = 4%
Answer:
the last one is your answer !
Step-by-step explanation:
24 x 20 = 480
1. 24 + 30 = 54
2. 20 x 20 x 4 x 20 = 32000
3. 20 + 20 + 4 + 20 = 64
4. 20 x 20 + 4 x 20 = 480
<em><u>so number 4 is your answer :)</u></em>
