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Nonamiya [84]
3 years ago
15

The total cost to pay for parking at a state park for the day and rent a paddleboat are: 1 hour for $17, 2 Hours for $29, 3 hour

s for $41, and 4 hours for $53. Find the cost to park for a day and the hourly rate to rent a paddleboat.
Mathematics
1 answer:
kolezko [41]3 years ago
7 0
$412.8 for 24 hours
Hope this help
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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


4 0
3 years ago
Which is more 2/3 or 2/4
goblinko [34]
The answer would be 2/3 is greater than 2/4. Two- thirds is equivalent to 0.67 while 2/4 is equivalent to 1/2 or 0.5. Of course, 0.67 is greater than 0.5.
6 0
3 years ago
The line plots show the results of a survey of 12 boys and 12 girls about how many hours they spent reading for pleasure the pre
lana66690 [7]

Answer:

The range for boys is 0-12 and the mean is 5.1

The range for girls is 2-8 and the mean is 5.3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(08.01 MC)Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing le
Mazyrski [523]

Answer:

Dan is correct

Step-by-step explanation:

From the question, we have:

Hours:1\ 2\ 3\ 4\ 5

Required

The average

The average hour is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{1+2+3+4+5}{5}

\bar x = \frac{15}{5}

\bar x = 3

<em>Dan calculated the mean as 3; while Bret calculated the mean as 4.</em>

<em>Hence, we can conclude that Dan s correct</em>

4 0
2 years ago
How to solve this?<br>\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x​
ivanzaharov [21]

\Large \mathbb{SOLUTION:}

\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes}  \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}

5 0
3 years ago
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