Answer:
8 (see work)
14. 2x^2 -4x^2 +3
Step-by-step explanation:
There's attached work for explanation
Answer:
√20
Or
2√5
Step-by-step explanation:
It is very easy just substitute
It will be:
Answers:
- angle1 = 156 degrees
- angle2 = 24 degrees
=======================================================
Explanation:
The two angles form a straight line, which is 180 degrees
Add up the angle expressions and set the sum equal to 180.
(angle1) + (angle2) = 180
(4x) + (x-15) = 180
(4x+x)-15 = 180
5x-15 = 180
5x = 180+15
5x = 195
x = 195/5
x = 39
We use that x value to find each missing angle
- angle1 = 4x = 4*39 = 156 degrees
- angle2 = x-15 = 39-15 = 24 degrees
Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.
Side note: Angles that add to 180 are considered supplementary.
<h3>
Answer:</h3>
B) 6 hours
<h3>
Step-by-step explanation:</h3>
Let h represent the total trip time. Then h/2 is the time spent traveling at each speed. The distance covered is ...
... distance = speed · time
The sum of the distances in each mode is the total distance.
... 1020 = 55·h/2 +285·h/2
... 2040 = h·(55+285) . . . . multiply by 2
... 2040/340 = h = 6 . . . . . . . divide by the coefficient of h
The trip took a total of 6 hours.
Answer:
0.33
Step-by-step explanation:
Given the following :
P(speeding) = p(s) = 0.75
P(being stopped) = p(t)
P(speeding and gets stopped) = p(s n t) = 0.25
Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;
P(t | s) = p(s n t) / p(s)
P(s n t) = 0.25
P(s) = 0.75
Hence,
P(t | s) = 0.25 / 0.75
P(t | s) = 0.33
