Answer:
x = 18.0
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
In your problem, sin of an angle = opposite side/hypotenuse
So, sin 51 = 14/x
x sin 51 = 14
x = 14/sin 51 = 18.0
50000 units on ground length
5:x 1:10000
5/x=1/10000
50000=x
Would appreciate a brainlist ty :)
Answer: The common number is 26.
Step-by-step explanation:
We know that the n-th term of a sequence is:
aₙ = 3*n^2 - 1
And the n-th term of another sequence is:
bₙ = 30 - n^2
Remember that in a sequence n is always an integer number.
We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:
aₙ = bₓ
This is:
3*n^2 - 1 = 30 - x^2
Let's isolate one of the variables, i will isolate n.
3*n^2 = 30 - x^2 + 1 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now we can try with different integer values of x, and see if n is also an integer.
if x = 1
n = √( (31 - 1^2)/3) = √10
We know that √10 is not an integer, so we need to try with another value of x.
if x = 2:
n = √( (31 - x^2)/3) = √(27/3) = √9 = 3
Then if we have x= 2, n is also an integer, n = 3.
Then we have:
a₃ = b₂
The common number between both sequences is:
a₃ = 3*(3)^2 - 1 = 26
b₂ = 30 - 2^2 = 26
3* tan(x) - root(3) = 0
3* tan(x) = root(3)
tan(x) = root(3) /3 = 0.577
x = tan^-1(0.577) or atan(0.577)
x = 30 degrees
(X-5)^2+(y+4)^2=16 I believe that should be the answer! Good luck