Answer:
-0.3125
Step-by-step explanation:
5k^-4 when k = -2
~Substitute
5(-2)^-4
~Take the exponent
5(-0.0625)
~Multiply
-0.3125
Best of Luck
We are required to find the cosine and tangent of 60°. Here we use an equilateral triangle whose side is 2 units, the height of the triangle by Pythagorean theorem will be √3 units, the base of the right angle triangle formed by bisection of the base will be 1 unit.
thus:
tan θ=opposite /adjacent
opposite= √3
adjacent=1
hence:
tan 60=√3/1=√3
cos θ=adjacent/ hypotenuse
adjacent=1
hypotenuse=2
thus
cos 60=1/2
4 pairs of adjacent angles and 2 pairs vertical angles
Answer:
9
Step-by-step explanation:
if you do it the right way it is nine do it from the right and go to the left
Let x be the speed when Fritz is driving
x + 6 will be the train speed
Converting minutes to hrs
48 mins = 48/60 = 4/5 hrs
40 mins = 40/60 = 2/3 hrs
Remember formula distance = rate * time
distance driving = (4/5)x
distance train traveling = (2/3)(x+6)
The train travels the same distance as the car
4/5x = 2/3(x+6)
4/5x = 2/3x + 4
4/5x - 2/3x = 4
basic elementary school math
2/15x = 4
2x = 40
x = 30 miles/hrs is the speed he driving.
distance train traveling = 2/3(30 + 6) = 24 miles
check with the distance he driving
4/5(30) = 24 miles