Answer:
19 miles
Step-by-step explanation:
Let m represent the number of miles traveled. Then the delivery charge is ...
charge = $5.00 + $0.15·m
You want to find the value of m that makes the charge by $7.85, so you want the solution to ...
$7.85 = $5.00 +$0.15·m
$2.85 = $0.15·m . . . . . . . . . subtract $5 (this gives the mileage charge)
$2.85/$0.15 = m = 19 . . . . . divide by the coefficient of m
The number of miles traveled is 19.
Find tan (22.5)
Answer: #-1 + sqrt2#
Explanation:
Call tan (22.5) = tan t --> tan 2t = tan 45 = 1
Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)
#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.
#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2
Step-by-step explanation:
<h2>This is a monster question I don't think anyone solve it for only 5 points</h2>
Answer:
1/1, 1.0, 100%
Step-by-step explanation:
There are only seven days in a week, so no matter which day you start on, the next seven days will always include a Friday.
Answer:
x=6, x=-8
Step-by-step explanation: i used the symbolab calculator online to solve this.