Answer:
h = 1558.8
Step-by-step explanation:
Let x be the distance from the vertex of the 30 degree angle to the base of Blue mountain.
Tan (30) = h/x Multiply both sides by x.
x * Tan(30) = h
Tan(25) = h/(x + 200) Multiply x + 200 on both sides.
(x + 200) * Tan(25) = h
Now you have 2 equations both equal to h. The two sides can be equated to each other.
x*tan(30) = (x + h) * Tan(25) Divide both sides by tan(25)
x*tan(30)/tan(25) = x + 200 Find Tan(30)/Tan(25)
Tan30 / tan(25) = 1.23813 so
1.23813 x = x + 200 Subtract x from both sides.
0.23813x = 200 Divide both sides by 0.23813
x = 200/0.23813
x = 839.99
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That is not the answer you have been asked for. What you need is h.
Tan(30) = x / h Multiply both sides by h
h*tan(30) = x Divide both sides by tan(30)
h = x/tan(30)
h = 839.99/tan(30) Tan 30 = 0.57735
h = 839.99/0.57735
h = 1558.8
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
Answer:
It is used in double-entry accounting.
First you find the median, the middle term (if there are an even number of terms it is the average of the middle two terms.) Since you have 21 terms, odd, you just use the middle term, in this case 8. The first quartile works the same way, but just on the left half between the start and the median...so the first quartile is 6.
Hello from MrBillDoesMath!
Answer:
Choice B
Discussion:
The answer shown highlighted is the correct answer
For a function, each value in the domain should be assigned a unique value in the range. In the case of ordered pairs, each x value in an order pair should have a unique y value. This aspect fails for Choices A, C, and D. Details follow.
Choice A: Not a function because (3,3), and (3,2) both have x = 3 but associated y value is not unique (equal 3 or 2)
Choice C: Not a function because (1,-1) and (1, -2) both have x = 1 but associated y value is not unique (equals -1 or -2)
Choice D: Not a function because (2,3) and (2,1) both have x= 2 but associated y value is not unique (equals 3 or 1)
Choice B has no such issues as an x value is repeated.
Thank you,
MrB