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Ronch [10]
3 years ago
5

A ticket broker is selling seats to a rock concert. If the broker's commission is a $5.00 base fee and $0.50 extra for every tic

ket (1), the
total cost for the broker's services is calculated by the expression below.
$0.50t + $5.00
How much does the broker earn by selling 12 tickets?
Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

11 $

Step-by-step explanation:

substitute 12 into t

making (0.5 × 12) + 5 = 6 + 5 = 11 $

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A surveyor determines that the angle of elevation to the top of a building from a point on the ground is 31∘. he then moves back
atroni [7]
<h2>Hello!</h2>

The answer is:

The height of the building is 94.29 feet.

<h2>Why?</h2>

To solve the problem, we need to consider that two triangles are formed depending on the distance where the surveyor is standing.

We have a first triangle which its base will be called "x" and its height will be called "h" with an angle of elevation from a point on the ground, equal to 31°.  

Also, we have a second triangle which base is equal to "x" + 57.1 feet, and a height "h", with an angle of elevation from a point on the ground, equal to 23.8°

We need to use a trigonometric identity that establishes a relationship between the height and the base. So, using the tangent trigonometric identity, we have:

Tan(\alpha)=\frac{Opposite}{Adjacent}

For the first triangle:

Tan(31\°)=\frac{h}{x}

0.60=\frac{h}{x}

h=0.60*x=0.60x

For the second triangle:

Tan(23.8\°)=\frac{h}{x+57.1feet}

0.44=\frac{h}{x+57.1feet}

(0.44)*(x+57.1feet)=h

h=0.44x+25.14feet

Then, making both equation equals, in order to find "x", we have:

0.60x=0.44x+25.14feet

0.60x-0.44x=25.14feet

0.16x=25.14feet

x=\frac{25.14feet}{0.16}=157.13feet

Then, we substituting "x" into any of the equations, we have:

Substituting into the first equation:

h=0.60*x\\\\h=0.60*(157.13feet)=94.29feet

Hence, the height of the building is 94.29 feet.

Have a nice day!

6 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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and if it starts ith 14, it adds by 8


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2 years ago
Which statement describes the order of rotational symmetry for an isosceles triangle?
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3 years ago
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Answer:

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