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wolverine [178]
4 years ago
10

A woman traveled 2438.1 miles in 17 hours 20 minutes. Find the average speed of her light in miles per hour (Change 17 hours 20

minutes into hours and use the formula
d=rt)
Mathematics
1 answer:
adell [148]4 years ago
6 0

Answer:

+140.68 m/h

Step-by-step explanation:

17.33 h

2438.1/17.33 = 140.68

+140.68 m/h

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6x-9y+45 in slope intercept form
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A perfectly straight 24 ft tall tree grows on the edge of the bank of a 45 foot wide river. A bird sitting at the top of the tre
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Answer:

Distance covered by the bird before meeting the water is: 51.264 ft

Step-by-step explanation:

Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

distance=Vel\,* time=3\,\frac{ft}{s} *\,2\,\,s=6 \,\,ft

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.

Such hypotenuse is (using Pythagoras theorem):

hyp =\sqrt{(60\,ft)^2+(22.5\.ft)^2} =\sqrt{4106.25} \,ft=64.08\,ft

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.

The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:

So we make the proportion between known legs, and hypotenuses:

\frac{24\,ft}{30\,ft} =\frac{D}{64.08\,ft} \\D=\frac{64.08\,ft\,*\,24\,ft}{30\,ft} \\D=51.264\,ft

7 0
4 years ago
What is the area of the shaded rectangle
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Answer:

27/70

Step-by-step explanation:

9/10 of the rectangle is shaded on the top and 3/7 of the rectangle is shaded on the side. Multiply those values together to find the area of the shaded rectangle.

9/10 · 3/7 = 27/70

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