Answer:
W = 16
L = 24
Step-by-step explanation:
Let's write down the information we have first
"The length of a rectangle is 8 feet longer than it is wide"
L = W + 8
"If each side is increased 8 feet, then the area is multiplied by 2."
(L + 8)(W + 8) = 2LW
Now we can solve for W first, then L
(W + 16)(W + 8) = 2W(W + 8)
W² + 24W + 128 = 2W² + 16W
0 = W²- 8W - 128
0 = (W - 16)(W + 8)
W = 16
L = 24
(This part above is solved like quadratics)
Answer:-Sal can make 10 bracelets with 5 feet of yarn.
Explanation:-
We know that 1 foot = 12 inches
⇒1 inch=![\frac{1}{12}\ foot](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%5C%20foot)
Yarn used for 1 bracelet = 6 inches![=\frac{6}{12}\ feet=0.5 foot](https://tex.z-dn.net/?f=%3D%5Cfrac%7B6%7D%7B12%7D%5C%20feet%3D0.5%20foot)
Number of bracelets made in 5 feet![=\frac{5}{0.5}=10](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B0.5%7D%3D10)
therefore, Sal can make 10 bracelets with 5 feet of yarn.
Answer is 1/2 ln (x^2+1) + 2 tan ^-1 (x) +c
in order to do this first say (x/x^2+1)+ 2/(x^2+1)
we already know that 1/x^2+1 equal tan^-1 (x)
for the first part you need to say u=x^2+1 and solve it by substitution
I hope this helps..let me know if you need more explanation
30 x 30 = 900
This is the surface area of one side
900 x 6
Multiply by 6 to get the surface area of all 6 sides of the cube
900 x 6 = 5400
Answer:
d. 4
Step-by-step explanation:
total amount Frank is willing to pay is 1000 + 850 + 700 + 500 = $3050
given the price of a class cost $750
therefore,
total number of classes he will be able to take = total amount frank is willing to pay/ price per class
so, 3050/750
= 4.067
approximately = 4