Answer: 8 feet
Step-by-step explanation:
Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:
a^2 + b^2 = c^2
(building)^2 + (missing piece)^2 = (ladder)^2
6^2 + x^2 = 10^2
36 + x^2 = 100. subtract 36
x^2 = 64. square root of both sides
x = 8
When x = -1
y + 5x = 6
y = 6 - 5x
y = 6 - (5)(-1)
y = 6 - (-5)
y = 11
when x = 0
y = 6 - 5x
y = 6 - (5)(0)
y = 6 - 0
y = 6
when x = 1
y = 6 - 5x
y = 6 - (5)(1)
y = 6 - 5
y = 1
From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x.
The perimeter of the figure is calculated through the equation,
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.
Substituting the derived expressions to the equation above.
228 = (2)(12x) + 2(5x)
x = 114/17
The width and length are calculated below.
Width = (5)(114/17) = 570/17 ft = 33.53 ft
Length = (12)(114/17) = 1368/17 ft = 80.47 ft
Thus, the dimensions are approximately 33.53 ft and 80.47 ft.
Answer:
4206
Step-by-step explanation:
you would take 701 and multiply it by the number of planks for 1 trapdoor(6).
Answer:
C) f(x) x g(x) = 6x2 + x-1
Step-by-step explanation:
Multiplication of functions:
Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).
In this question, we have that:
The multiplication is:
The correct answer is given by option C.
