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Brilliant_brown [7]
3 years ago
10

At a certain time of day, a tree that is x meters tall casts a shadow that is x−46x−46 meters long. if the distance from the top

of the tree to the end of the shadow is x+4x+4 meters long, what is the height, x, of the tree?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem

The height, x, of the tree is 70 meters.
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18x.15=2.70
2.70+18=$20.70
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3 years ago
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Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
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X' = U - X

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= {2,3,5,6}

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3 years ago
How do you use an exponent to represent a number such as 16
Colt1911 [192]
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7 0
3 years ago
A geologist visits 40 volcanoes in Alaska and California.how many volcanoes does the geologist visit in California and how many
solong [7]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

I don't know for sure, but there are a bunch of different options. Here they are:

Step-by-step explanation:

1 + 39

2 + 38

3 + 37

4 + 36  

5 + 35

6 + 34

7 + 33

8 + 32

9 + 31

10 + 30

11 + 29

12 + 28

13 + 27

14 + 26

15 + 25

16 + 24

17 + 23

18 + 22

19 + 21

20 + 20

Those are the options of how many volcanoes that they could have visited. They could have visited 23 volcanoes in Alaska and 17 in California. Who knows?

California only has 20 volcanoes, and Alaska has 40, so your answer will be one of these options. Hope this helps!

5 0
3 years ago
A cruise ship is traveling at a speed of 20 knots . A knot is approximately equal to 1.151 miles per hour. What is the approxima
Mrrafil [7]
1 mile = 1760 yards
20 * 1.151 = 23.02
23.02 * 1760 = 40,515.2
40,515.2 / 60 = 675.243~
675.243~ / 60 = 11.2542~
They are traveling 11.25 yards per second
I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!
6 0
3 years ago
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