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2 years ago

How long will it take you to drive 120 miles at a speed of 15 miles per hour

Mathematics

2 answers:

ZanzabumX [31]2 years ago

4 0

It would take 3 hours

Masteriza [31]2 years ago

4 0

3 hours apparently yh

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Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

Find the slope for the ordered pair: 5y=160+9x

dlinn [17]

This isn't an ordered pair, but the slope would be 9/5 or 1.8

7 0

2 years ago

If the perimeter is 86in and the length is 25 what is the width

cestrela7 [59]

The answer is 18 because to find the perimeter you have to add length+width+width+length so we know that the length is 25 so we add 25+25 which is 50. then we subtract 86-50 which is 36. so we do 36 divided by 2 which gets us 18. Hope this Helps! :)

3 0

2 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(10,1) and K(4,7)

zvonat [6]

Hey.
The answer is (7,4).
The change of x is -6. Divide that by two(=-3) and add it to the first x-coord and you get 7.
Do the same for your y-value(change =+6/2= +3) and you'll get 4.

6 0

3 years ago

I need help simplifying 5 1/2 ÷ 2 1/2 then writing it as a mixed number

Yakvenalex [24]

Answer:

exact form

11/5

decimal form 2.2

mixed number form 2 1/5

Step-by-step explanation:

6 0

2 years ago