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3 years ago

Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."

Mathematics

1 answer:

valentina_108 [34]3 years ago

6 0

Answer:

The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.

Step-by-step explanation:

We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.

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Answer:

1)7.288 feet

2)11.6 feet

3)safe

4) 3.7 feet

5) ∅ $= tan^{-1}(1.5) = 56.31 degrees$

6)∅1 $= tan^{-1}(2) = 63.43 degrees$

∅2 $= tan^{-1}(1.2) = 50.19 degrees$

Step-by-step explanation:

1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.

Applying trigonometry,

tan(39) = $\frac{opposite}{adjacent} = \frac{s}{9}$ = 0.809

Thus, s= $(9)(0.809) = 7.288 feet$

2) Applying pythagoras theorm,

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Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet

3) The length of ladder is 14 foot and height from ground is 13.5 feet.

Applying trigonometry,

sin(∅) = $\frac{opposite}{hypotenous} = \frac{13.5}{14}$ = 0.964

∅ = angle of elevation = $sin^{-1}(0.964)$ = 74.57 ≈ 75 degrees.

Thus tractor can climb safely.

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$14^{2} = (13.5)^{2} + x^{2}$

x = $\sqrt{14^{2}-(13.5)^{2}} = 3.708$

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tan(∅) = $\frac{30}{20} = 1.5$

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6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.

Thus,

tan(∅1) = $\frac{30}{15} = 2$

∅1 $= tan^{-1}(2) = 63.43 degrees$

tan(∅2) = $\frac{30}{25} = 1.2$

∅2 $= tan^{-1}(1.2) = 50.19 degrees$

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3 years ago

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Step-by-step explanation:

You use PEMDAS to solve this problem

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We then multiply first (M)

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