Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
Answer:
The cost per square inch of the pie is $0.111 or 11 cents
Step-by-step explanation:
The shape of a pie is circular.
The area of a circle (pie) = πr²
From the question ,
Diameter = 12 inches
Radius = Diameter/2
Radius = 12 inches/2
Radius = 6 inches.
Hence, the area of the pie = π × 6²
= 113.09733553 square inches
A pie costs $12.55
The cost per square inches of the pie is calculated as:
113.09733553 square inches = $12.55
1 square inch = $x
Cross Multiply
113.09733553x = $12.55
x = $12.55/113.09733553
x = $0.1109663631
Approximately
x = $0.111
Therefore, the cost per square inch of the pie is $0.111 or 11 cents
Answer:
Number one is 54
Step-by-step explanation:
Answer:
d = 10√10 ≈ 31.62
Step-by-step explanation:
d = √l²+w²+h²
d = √5²+8²+2²
d = √25+81+4
d = √110
d = 10*√10
