Answer:
The scale factor of the dilation is 1/5
Step-by-step explanation:
Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
Since distance equals speed times time (d = st), we have
t = d/s
where d = 120 miles and s = 15 miles per hour
t = d / s
t = 120 / 15
t = 8
It will take 8 hours to drive 120 miles at a speed of 15 miles per hour.
Answer:
The denominators are not equal.
Step-by-step explanation:
