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Lera25 [3.4K]
2 years ago
11

The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main ent

rance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.
Mathematics
1 answer:
forsale [732]2 years ago
6 0

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

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On which graph does the red point have a clear meaning?
Kobotan [32]

Answer:

The graph where the red point has a meaning is the graph C or third graph.

Step-by-step explanation:

As we can see the first and second graphs are irrelevant and have no relation between the x axis and y axis.

In graph A, the bird feeder graph is shown where the quart is a unit for liquids and pounds is a unit for solids. Thus, the red point cannot be defined.

Similarly, in graph B, height and team numbers are not related to each other in any way, so not clear meaning can be withdrawn here,

In graph C, the relation between cost of pictures and number of pictures are shown. We can very well understand here, that as the number of pictures increases, the cost increases.

So, the graph where the red point has a meaning is the graph C or third graph.

4 0
3 years ago
Read 2 more answers
Find the solution of the square root of the quantity of x plus 2 plus 4 equals 8, and determine if it is an extraneous solution
Iteru [2.4K]

Consider the equation:

\sqrt{x+2}+4 = 8

Subtracting '4' from both the sides of the equation, we get as

\sqrt{x+2}+4-4= 8-4

\sqrt{x+2}= 4

Squaring on both the sides of the equation, we get

(\sqrt{x+2})^2 = (4)^2

x+2 = 16

Subtracting '2' from both the sides of the equation, we get

x+2-2=16-2

x=14

Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.

Hence, it is not an extraneous solution.

4 0
3 years ago
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A black line is longer than a gray line. The gray line is longer than a white line. Is the black line shorter or longer than the
enot [183]
The gray line is longer than the white line.
The black line is longer than the gray line.

White    -------------------------

Gray      ------------------------------------------

Black     --------------------------------------------------------

Answer: The black line is longer than the white line.
4 0
3 years ago
(-3)(8+-10)!!!!!!!!!!!!!!!!!!!!!
evablogger [386]
(-3)(8+-10)
(-3) • ( -2)
which equals 6
8 0
3 years ago
Find the product.<br> (5x² – 4x+6)(–2x+3) =<br> 0
Nady [450]

Answer:

x = 3/2

Step-by-step explanation:

Solve for x over the real numbers:

(5 x^2 - 4 x + 6) (3 - 2 x) = 0

Split into two equations:

3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0

Multiply both sides by -1:

2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0

Add 3 to both sides:

2 x = 3 or 5 x^2 - 4 x + 6 = 0

Divide both sides by 2:

x = 3/2 or 5 x^2 - 4 x + 6 = 0

Divide both sides by 5:

x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0

Subtract 6/5 from both sides:

x = 3/2 or x^2 - (4 x)/5 = -6/5

Add 4/25 to both sides:

x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25

Write the left hand side as a square:

x = 3/2 or (x - 2/5)^2 = -26/25

(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:

Answer:  x = 3/2

7 0
3 years ago
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