Distance from start to look out point is calculated below
d1 = 8 3/4 miles - 0 miles = 8 3/4
Distance from look out point to giant boulder is,
d2 = 8 3/4 miles - 4 1/4 miles = 9/2 miles = 4.5 miles
Thus, the answer is equal to 4 1/2 miles. The answer is letter C.
Answer: 160 liters of the
40% solution and 80 liters of the 70% solution will be used.
Step-by-step explanation:
Let x represent the number of liters of 40% antifreeze solution that should be used.
Let y represent the number of liters of 70% antifreeze solution that should be used.
The volume of the mixture to be mixed is 240 liters. It means that
x + y = 240
The 40% antifreeze solution is to be mixed with a 70% antifreeze
solution to get 240 liters of a 50% solution. This means that
0.4x + 0.7y = 0.5(240)
0.4x + 0.7y = 120 - - - - - - - - - - - -1
Substituting x = 240 - y into equation 1, it becomes
0.4(240 - y) + 0.7y = 120
96 - 0.4y + 0.7y = 120
- 0.4y + 0.7y = 120 - 96
0.3y = 24
y = 24/0.3
y = 80
x = 240 - y = 240 - 80
x = 160
This is true.
It comes from the same side interior angles theorem which says that same side interior angles are supplementary, only if the lines are parallel.
Answer:
C. 48 ♡
Step-by-step explanation:
I hope this help you :)
Answer:
x = 30°
Step-by-step explanation:
The arcsin (inverse sine) function can be used. Be sure to set your calculator to degrees mode.
sin(x) = 1/2
arcsin(sin(x)) = arcsin(1/2)
x = arcsin(1/2)
x = 30°
