Answer:
<h2>x= 37</h2>
Step-by-step explanation:
This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)
According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
given (as seen from the diagram)
x, hypotenuse= ?
opposite= 12
adjacent= 35
Applying Pythagoras theorem
Substituting our given data and solving for hpy we have
hence x= 37
Answer:
8 hours
Steps:
Train 1:
Hours: 1, 2, 3, 4, 5, 6, 7, 8
Miles: 75, 150, 225, 300, 375, 450, 525, 600
Train 2:
Hours: 1, 2, 3, 4, 5, 6, 7, 8
Miles: 0, 0, 100, 200, 300, 400, 500, 600
<h3>
Answer: Choice C, 2/3</h3>
============================================
Work Shown:
A = # of candies that are not green
A = (# of red)+(# of yellow)+(# of blue)
A = 25+15+20
A = 60
B = # of candies total
B = (# of red)+(# of green)+(# of yellow)+(# of blue)
B = 25+30+15+20
B = 90
P(not green) = probability of selecting candy that is not green
P(not green) = (# of candies not green)/(# of candies total)
P(not green) = A/B
P(not green) = 60/90
P(not green) = (2*30)/(3*30)
P(not green) = 2/3
Answer:
20
Step-by-step explanation:
To solve this you have to make a system of equations.
Since the father and son's age sum up to 60, the first equation will be:
f + s = 60
Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:
6 - (5s) = f
Now, you have to solve the first equation to let it equal to s
f + s = 60
f = 60 - s
Plug in
6 - 5s = 60 - s
+s +s
6 - 4s = 60
-6 -6
---------------------
-4s = 54
----- -----
-4 -4
s ≅ 14
14 + 6 = 20
5 2/5 is the answer as a mixed number
