Answer:
B) 120
Step-by-step explanation:
m = miles
$98=$80+$0.15m
$98-$80=$80-$80+$0.15m
$18=$0.15m
$18/$0.15=$0.15m/$0.15
120=m
Juliet drove 120 miles for $98.
(this is a good explanation, I guess)
Coterminal angle is an angle which has the same initial and terminal side of the original angle. It can be found by adding or subtracting 360deg.
A positive angle less than 360 that is coterminal with -85 is = -85 + 360
= 275 degree
5a+2a(5−b)
Distribute:
=5a+(2a)(5)+(2a)(−b)
=5a+10a+−2ab
Combine Like Terms:
=5a+10a+−2ab
=(−2ab)+(5a+10a)
=−2ab+15a
Step-by-step explanation:
its round is 200.0000 .
hope it will help you Mark with brilliant
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec