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Mrac [35]
1 year ago
7

. A cyclist pedals his bike 6.5 km up a mountain road, which has a steady incline. By the time he has reached the top of the mou

ntain, he has climbed 1.1 km vertically. Calculate the angle of elevation of the road.
Mathematics
1 answer:
Elan Coil [88]1 year ago
5 0

Answer:

9.72°

Step-by-step explanation:

Step one

Given data

let the hypotenuse be the distance the cyclist traveled = 6.5km

and let the opposite be the height of the mountain = 1.1 km

Step two:

<u>Applying SOH CAH TOA</u>

sin ∅= opp/hyp

∅= sin-1 opp/hyp

∅= sin-1 1.1/6.5

∅= sin-1 0.169

∅= sin-1 0.169

∅=9.72°

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victus00 [196]

Take out a common factor between 3x and kx. That means use the distributive law to get what you normally would start with.

x(k + 3) = 4

Now divide by k + 3

x = 4/(k + 3)

That's as much as you can do with this question.



4 0
1 year ago
Alex started a new social media account,which he used to post pictures of cute animals. On the first day he only had 8 followers
Hatshy [7]

Answer:

648 followers

Step-by-step explanation:

Let first day=a1

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Second day=a2=a1×3

Third day=a3=a2*3

Fourth day=a4=a3*3

Fifth day=a5=a4*3

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On the fifth day, Alex will have a total of 648 followers on his new social media account.

7 0
2 years ago
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

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