Answer:
D
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
take the square root of both sides
10.44 = c
Answer:
0.32 ounces of chocolate per mold
Step-by-step explanation:
Answer:
x=0
x=7
Step-by-step explanation:
x²-x-1=6x-1
x²-x-1-6x+1=0
x²-7x=0
x(x-7)=0
x=0
x-7=0
x=7
S^5 + 10s^4v + 40s^3v^2 +80s^2 v^3 +80sv^4 +32v^5
So,
The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w
We know that the perimeter is 2l + 2w.
2l + 2w = 130
2(5 + 2w) + 2w = 130
Distribute
10 + 4w + 2w = 130
Collect Like Terms
10 + 6w = 130
Subtract 10 from both sides
6w = 120
Divide both sides by 6
w = 20
The width is 20.
Since
l = 5 + 2w
Substitute
l = 5 + 2(20)
Multiply
l = 5 + 40
Collect Like Terms
l = 45
The length is 45.
Check
2l + 2w = 130
2(45) + 2(20) = 130
90 + 40 = 130
130 = 130
Width: 20 ft.
Length: 45 ft.
