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2 years ago

Logx(x-3)=1 solve for x

Mathematics

1 answer:

faust18 [17]2 years ago

3 0

Answer: x = 0.41092426, 4.5252265

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100 points but please don’t post a very useless answers! >:(

Lelu [443]

Answer:

See below.

Step-by-step explanation:

54.

The radius of the small circles is x.

The radius of the large circle is 2x.

Area of large circle:

πr² = π(2x)² = π4x² = 4πx²

Area of 1 small circle:

πr² = πx²

Area of 2 small circles:

2πx²

shaded area = area of large circle - area of 2 small circles

shaded area = 4πx² - 2πx²

shaded area = 2πx²

57.

The radius if the circle is x√2.

The side of the square is 2x.

Area of circle:

πr² = π(x√2)² = 2πx²

Area of square:

s² = (2x)² = 4x²

shaded area = area of circle - area of square

shaded area = 2πx² - 4x² or (2π - 4)x²

7 0

2 years ago

What conclusion can you draw about angles of elevation for parasailing boats traveling at the same speed?

melamori03 [73]

Question:

A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.

a) Draw a labelled diagram of the situation

b) Determine the angle of elevation of the parasail rider

c) Parasailing boats traveling at the same speed will have the same angle of elevation

Answer:

a) Please find the attached drawing of the parasail boat created with MS Visio

b) The angle of elevation of the parasail rider from the boat is approximately 48.6°

Step-by-step explanation:

a) Please find the labelled diagram of the parasailing boat created with MS Visio

b) sing trigonometric ratios, we have;

$sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}$

The opposite leg = The height of the parasail rider above water = 300 ft.

The hypotenuse = the length of the tow line = 400 ft.

θ = The angle of elevation of the parasail rider

$\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75$

θ = Arctan(0.75) ≈ 48.6°

The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°

c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,

Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same