Answer:
PQ = 37 Km
Step-by-step explanation:
let PQ = x , then
PR = x + 15 and QR = 3(x + 15) = 3x + 45
sum the parts and equate to 245
x + x + 15 + 3x + 45 = 245 , that is
5x + 60 = 245 ( subtract 60 from both sides )
5x = 185 ( divide both sides by 5 )
x = 37
then
PQ = x = 37 Km
Translate, in math, is just a fancy word for "change" or "move". We're changing (-5, 2) using x + 3 and y - 1. If the x value is -5, what is x + 3?
(-5) + 3 = -2
And for the y - 1?
(2) - 1 = 1.
Your answer is P'(-2, 1)
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Answer:
you have to finish posting the question in order to get a proper answer
Answer:
Distance of the jogger from his house is 7 miles.
Step-by-step explanation:
We are given that,
Distance ran towards east = 3 miles
Distance ran towards east of north = 5 miles
Angle made towards east of north = 30° as shown in the figure below.
<em>So, the total angle by which the jogger ran = 90° + 30° = 120°</em>
Thus, using the cosine law, we get,
i.e. 
i.e. 
i.e. 
i.e. x = ±7 miles
Since, the distance cannot be negative.
Thus, the distance of the jogger from his house is 7 miles.
Answer:
x/y
Step-by-step explanation:
The question is badly worded, to the point of being impossible to answer as it is written.
We presume the given point (x, y) is (cos(θ), sin(θ)). The definition of cot(θ) is cos(θ)/sin(θ), so matches x/y with our assumed definitions of x and y.
