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Aleksandr [31]
4 years ago
5

Car rentals involve a $130 flat fee and an additional cost of $31.67 a day. What is the maximum number of days you can rent a ca

r if you have a $500 budget?
Mathematics
1 answer:
Elanso [62]4 years ago
3 0
With a $500 budget you can rent a car for 11 days as $500-$130 is $370 which you then divide by $31.67 which gives you 11.682
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Answer:

x = 15.4

Step-by-step explanation:

Reference angle = 33°

Opposite side reference angle = 10

Adjacent side = x

Therefore, we would apply the trigonometric function, TOA.

Thus:

Tan 33° = Opposite/Adjacent

Tan 33° = 10/x

Multiply both sides by x

x*Tan 33° = 10

Divide both sides by Tan 33°

x = 10/Tan 33°

x = 15.3986496

x = 15.4 (nearest tenth)

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Step-by-step explanation:

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ahrayia [7]
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3 years ago
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Triangle PQR where P(1,4), Q(-3,-4),R(7,k) is right-angled at Q. find the value of k
NikAS [45]

Answer:

k = -9.

Step-by-step explanation:

As the triangle is right-angled at Q, by Pythagoras:

PR^2 = PQ^2 + RQ^2

So, substituting the given data and using the distance formula between 2 points:

(7 - 1)^2 + (k - 4)^2 =  (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2

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3 years ago
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maw [93]

Answer:

Option A)

s = \dfrac{\text{Range}}{4}        

Step-by-step explanation:

Range Rule of Thumb

  • The range Rule of thumb states that the range is four times the standard deviation.
  • The standard deviation is a measure of dispersion.

\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}

  • Thus, the correct answer is

s = \dfrac{\text{Range}}{4}

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3 years ago
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