Answer:
7/5 * A *y =k
Step-by-step explanation:
A=5k/7y
Multiply each side by 7y
A* 7y = 5k/7y * 7y
7Ay = 5k
Divide by 5
7Ay/5 = 5k/5
7/5 * A *y =k
Answer:
0.83 miles per minute
Step-by-step explanation:
The speed of the car can be found by dividing the distance by the time. THe distance is 258 miles and the time is 312 minutes.
Answer:
60.2 m
Step-by-step explanation:
Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.
This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.
The ratio opposite/adjacent is the ratio for tangent; this gives us the equation
x/15 = tan(76)
Multiply both sides by 15:
15(x/15) = 15(tan(76))
x = 15(tan(76)) ≈ 60.2
Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
Step-by-step explanation:
a 12 miles per hour * 45/60 = 9 miles
b I mean he can't ride negative speed, unless he's going backwards??
-8 * 45/60 = -6 miles
c they would be abs(-6) + 9 = 15 miles apart
