Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
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Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²
Answer:
because of his big work that hes doing and because he earns it
Step-by-step explanation:
Answer:
25.56 is the surface area of the pool.
Hope this helps! :)
Answer:
x=60
Step-by-step explanation:
Simplifying
0.79x + 24 = 1.19x
Reorder the terms:
24 + 0.79x = 1.19x
Solving
24 + 0.79x = 1.19x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.19x' to each side of the equation.
24 + 0.79x + -1.19x = 1.19x + -1.19x
Combine like terms: 0.79x + -1.19x = -0.4x
24 + -0.4x = 1.19x + -1.19x
Combine like terms: 1.19x + -1.19x = 0.00
24 + -0.4x = 0.00
Add '-24' to each side of the equation.
24 + -24 + -0.4x = 0.00 + -24
Combine like terms: 24 + -24 = 0
0 + -0.4x = 0.00 + -24
-0.4x = 0.00 + -24
Combine like terms: 0.00 + -24 = -24
-0.4x = -24
Divide each side by '-0.4'.
x = 60
Simplifying
x = 60
Answer:
x = 0 or x = 1/2 and x = -1 for the second equation
Step-by-step explanation:
Solve for x:
4 x^2 - 2 x = 0
Factor x and constant terms from the left hand side:
2 x (2 x - 1) = 0
Divide both sides by 2:
x (2 x - 1) = 0
Split into two equations:
x = 0 or 2 x - 1 = 0
Add 1 to both sides:
x = 0 or 2 x = 1
Divide both sides by 2:
Answer: x = 0 or x = 1/2
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Solve for x:
x^2 + 2 x + 1 = 0
Write the left hand side as a square:
(x + 1)^2 = 0
Take the square root of both sides:
x + 1 = 0
Subtract 1 from both sides:
Answer: x = -1
