How much would 48 feet and 14 yards of lumber cost at 89 cents per yard
2 answers:
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Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = .
But, = -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e.
So, the ratio is k : 1 i.e i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, = m where
i.e. m =
i.e. m =
i.e. m =
i.e. m = 5.
Hence, the value of m is 5.
You will have to use trig to solve this:
The side you have is adjacent to the known angle
The side you are looking for is opposite the known angle
^^^This means you need to use tan:
tan(24) =
.445222 =
^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x
5.3 ≈ x
Hope this helped!