Answer:
15 feet
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).
To solve for the length of the ladder, use the Pythagorean Theorem.
Answer:
Step-by-step explanation:
Hi there!
4x-6y
Plug in the values of x and y:
Thus, is our final answer.
Hope it helps! Enjoy your day!
~Just a teen willing to help others
Start by writing out the formulas for perimeter and area:
P=2L+2W A=L*W
We know that A = L*W = 336 sq meters and that P=2L + 2W = 100m.
Let's solve the first equation for L: L = 336/W
Subst. this into the formula for perimeter: 2[336/W] + 2W = 100 m (given)
Now all you have to do is to solve this for W:
336/W + W = 50 becomes 336 + W^2 = 50W.
Then W^2 - 50W + 336 = 0. Using the quadratic formula, I found that
50 plus or minus sqrt (1156) 50 plus or minus 34
W = ---------------------------------------- = -------------------------------
2 2
W has to be positive. Thus, choose W = (50+34) / 2 = 42
Then L = 336 / W, or 336 / 42, or 8.
The dimensions of this rectangle are 8 by 42.
You should check these results. Does P = 2(8) + 2(42) = 100 ?
X: earn per hour during the week
y: earn per hour during the weekend
13x + 14y = 250.90
15x + 8y = 204.70
Multiply the first equation by 4 and the second equation by 7
52x + 56y = 1003.6
105x + 56y = 1432.90
Subtract the first equation from the second:
53x = 429.30
x = 429.30/ 53
x = 8.10
Solve any of the equation for y:
15x + 8y = 204.70
y = [204.70 - 15(8.10)]/8 = 10.40
y - x = 10.40 -8.10 = 2.30
Answer: she earns $2.30 per hour more during the weekend than during the week.
