Answer:
436 feet will not be covered by the hot tub.
Step-by-step explanation:
If the backyard is 10 feet by 50 feet (I am assuming that you meant 50, not 5o), then you would use the area formula.
A = L * W Area equals length times width
A = 10 * 50
A = 500 ft
Now let's find the area of the hot tub
A = L * W
A = 8 * 8
A = 64 ft
This means 64 feet of the backyard will be covered by the hot tub, but you must find the area <u>NOT</u> covered. To do this, subtract the two areas.
500 -- 64 = 436 ft
This means 436 feet of Tina's backyard will not be covered by the hottub.
The formula for the area of a triangle is A = 1/2 x b x height. But, we don't have the height here. To find the height, we can use the Pythagorean theorem.
With Pythagorean theorem, we'll be finding one of the legs. If we split the original triangle in 1/2 from the vertex to the base, we now have two right triangles. Both of these right triangles have a 30 cm hypotenuse and one 13 cm leg (remember we divided the entire original triangle in half).
30^2 = 13^2 + b^2
169 + b^2 = 900
b^2 = 731
b =
Now that we know the height of the triangle, we can find the area.
A = 1/2 x 26 x
A = 13 x
A = 351.48
The final area, rounded to the nearest whole number is 351 centimeters squared.
Note: Please know that depending on if the answer rounded before using it to find the area, the final answer may then be rounded to 352.
Hope this helps! :)
However, point slope equations can be awkward to use in some algebraic operations. In such cases, it may be helpful to convert the equation into a different form, the standard form. The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.