So what’s its asking you is 20% of 500 which equals 100
Longer piece: 3x + 3
Shorter piece: x
(x) + (3x + 3) = 7
4x + 3 = 7
4x = 4
x = 1
Longer piece: 3x + 3 = 3(1) + 3 = 6
Answer: 1 ft and 6 ft
3:2 because 18/12 and 30/20 both reduce to 3/2
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
Answer:
Sin(E) = 
Step-by-step explanation:
The full question is as follows :
To find - In the accompanying diagram, what is sin E?
Proof -
We know that,
Sin(theta) = (opposite side) / (hypotenuse)
From the diagram, we can see that,
Base = 3
Perpendicular = 5
Hypotenuse = 5
So,
For angle E,
Opposite side = 4
Hypotenuse = 4
∴ we get
Sin(E) =
