A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.


A. 5,410
B. 569
C. 52,043
D. 572

A Road Is Inclined At An Angle Of 6. After Driving 5,440 Feetalong This Road, Find The Driver's Increase

Answers

Answer 1
Answer:  B)  569 feet

========================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

Answer 2

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532


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The Furlani’s went on a road trip. Driving at a constant speed for 2 hours, they covered 120 miles of their trip. If their destination is 600 miles away, how long will they be driving?

Answers

Answer:

They will be driving for a total of 10 hours or 8 more hours than they've already traveled.

The list price on a winter coat is $84. It is being sold at a 23% discount. What is the sale price of the coat?
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B)$61.32
C)$47.48
D)$22.68

Answers

Answer:

A) $64.68

Step-by-step explanation:

Note that 23% = 23/100 = 0.23

First, multiply $84 with 0.23:

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Next, subtract 19.32 from the total cost:

84 - 19.32 = 64.68

A) $64.68 is your answer.

~

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A)$64.68

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1. (4, 3), (1, –1)

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Attached below.......

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Answers

Answer:

The six possible rectangular prisms Anabelle could build are;

W = 1,  B = 1,  L = 56

W = 1, B = 2,  L = 28

W = 1,  B = 4,  L = 14

W = 2,  B = 2,  L = 14

W  = 1,  B = 7,  L = 8

W = 2,  B = 4,  L = 7

Step-by-step explanation:

The number 1 cm³ Annabelle has = 56

The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³

The volume of rectangular prism, V = L × B × W

∴ For the rectangular prism, V = 56 cm³ = L × B × W

Therefore, the possible dimensions of the prism are three factors of 56, including;

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The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;

  W × L × B = A

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Answers

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Step-by-step explanation

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-------------------

That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

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as we can see here 10 is the longest so it is the hypotenuse.

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a^2+8^2=10^2

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