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pav-90 [236]
3 years ago
9

A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the fi

rst day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

110%

Step-by-step explanation:

4000   100

8400     ?

<u>8400x100</u>

   4000

210% of the expected people showed up

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Help! Thanks!!!!!!!!!
san4es73 [151]

1)

∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰

AB = 370 m

AC = 510 m

To find BC we can use cosine law.

a² = b² + c² -2bc*cos A

|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)

|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =

|BC| ≈ 553 m


2)

To find ∠ACB, we are going to use law of sine.

sin(∠BAC)/|BC| = sin(∠ACB)/|AB|

sin(76⁰)/553 m = sin(∠ACB)/370 m

sin(∠ACB)=(370*sin(76⁰))/553 =0.6492

∠ACB = 40.48⁰≈ 40⁰


3)

∠BAC = 76⁰

∠ACB = 40⁰

∠CBA = 180-(76+40) = 64⁰


Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰


4)

Shortest distance from A to BC is height (h) from A to BC.


We know that area of the triangle

A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).

Also, area the same triangle

A= (1/2)|BC|*h = (1/2)*553*h.


So, we can write

(1/2)*370*510*sin(76⁰) =(1/2)*553*h

370*510*sin(76⁰) =553*h

h= 370*510*sin(76⁰) / 553= 331 m

h=331 m


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Oliga [24]

Answer:1.5 i think

Step-by-step explanation:

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Arlecino [84]

Answer:

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Step-by-step explanation:

-3x-2=2x+8

Add 3x to each side

-3x+3x-2=2x+3x+8

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Subtract 8 from each side

-2-8 = 5x+8-8

-10 = 5x

Divide by 5

-10/5 = 5x/5

-2 =x

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zavuch27 [327]

Answer:

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  • y = 6√6

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

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<h3>x</h3>

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

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<h3>y</h3>

  hypotenuse/long side = y/12 = (12+6)/y

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6 over 7 subtracted by 1 over 7
Rus_ich [418]

Answer:

5/7

Step-by-step explanation:

6/7-1/7=5/7

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