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Aleksandr-060686 [28]
3 years ago
12

An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles.

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

  • 10.4 miles

Step-by-step explanation:

Let the horizontal distance is x

<u>Use tangent to solve this:</u>

  • tan 30° = 6/x
  • x = 6 / tan 30°
  • x = 10.4 mi (rounded)
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What is the range of each function given below?
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Answer:

  {3, 4, 5, ...}

Step-by-step explanation:

If x is a positive integer, a(x) will be a positive integer equal to 3 or more.

The range of "a" is positive integers greater than or equal to 3.

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What is four ninths of forty five
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Solve for x.
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3 years ago
What are the restrictions for a? 2a^2+a-15/5a^2+16a+3
koban [17]

ANSWER


The restrictions are

a\ne -3,a\ne -\frac{1}{5}


EXPLANATION


We were given the rational function,


\frac{2a^2+a-15}{5a^2+16a+3}


The function is defined for all values of a, except



5a^2+16a+3=0


This has become a quadratic trinomial, so we need to split the middle term.


We do that by multiplying the coefficient of x^2 which is 5 by the constant term which is 3. This gives us 15.


The factors of 15 that adds up to 16 are 1 and 15.


We use these factors to split the middle term.




5a^2+15a+a+3=0


We now factor to get,


5a(a+3)+1(a+3)=0


We factor further to get,


(a+3)(5a+1)=0



This implies that,


(a+3)=0,(5a+1)=0


This gives


a=-3,a=-\frac{1}{5}


These are the restrictions.





8 0
4 years ago
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