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The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Answer:
Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
Step-by-step explanation:
We are given that,
The amount of yards for making one costume of different fabrics are,
White fur fabric =
=
yards
Blue striped fabric = 1 yard
Pink felt for ears =
yards.
So, we have,
The amount required to make 8 costumes are,
White fur fabric =
= 3×4 = 12 yards
Blue striped fabric = 1×8 = 8 yards
Pink felt for ears =
= 2 yards.
Thus, Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.
117 divided by g is 19.5
I hope this helps.
36%
Hope this is right im only 11 :)