Answer:
56.95 feet
Step-by-step explanation:
To find the height of the pole, you can use the Pythagorean Theorem because the cable, the height of the pole, and the distance from the base of the pole to the anchor form a right triangle.
The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).
In this case, the height of the pole is the side we want to find (let's call it "h"), the distance from the base of the pole to the anchor is 19 feet (let's call it "d"), and the cable's length is 60 feet (the hypotenuse).
So, the equation is:
h^2 + d^2 = hypotenuse^2
h^2 + 19^2 = 60^2
Now, we can solve for "h":
h^2 + 361 = 3600
Subtract 361 from both sides:
h^2 = 3600 - 361
h^2 = 3239
Now, take the square root of both sides to find "h":
h = √3239
h ≈ 56.95 feet
So, the height of the pole is approximately 56.95 feet.
Answer:
Number & Cost($)
Feet & Yards
Step-by-step explanation:
Number & Cost:
(2, 38), (4, 76) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (76 - 38) / (4 - 2)
= 38 / 2
= 19 <====== k the constant
y = kx
y = 19x
point (2, 38): 38 = 19(2) ===> 38 = 38
point (4, 76): 76 = 19(4) ===> 76 = 76
point (7, 133): 133 = 19(7) ===> 133 = 133
point (9, 171): 171 = 19(9) ===> 171 = 171
Feet & Yards:
(27, 9), (75, 25) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (25 - 9) / (75 - 27)
= 16 / 48
= 1/3 <====== k the constant
y = kx
y = 1/3x
point (3, 1): 1 = 1/3(3) ===> 1 = 1
point (12, 4): 4 = 1/3(12) ===> 4 = 4
point (27, 9): 9 = 1/3(27) ===> 9 = 9
point (75, 25): 25 = 1/3(75) ===> 25 = 25
B. 6x² + 14
C. 9x² + 49
D. 9x² + 21x + 49
E. 9x² + 42x + 49
Can anyone explain how to make it step by step?