Answer:
see explanation
Step-by-step explanation:
If AB is a tangent then ∠ ABC = 90° and Δ ABC is right
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides.
15 is the longest side and 15² = 225
9² + 12² = 81 + 144 = 225
Thus Δ ABC is a right triangle at B
Thus AB is a tangent to the circle at B
Answer:
Step-by-step explanation:
the first day he used 30 cups
the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.
so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30
15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply
0.15(x - 30) = 90
0.15x - 4.5 = 90
0.15x = 90 + 4.5
0.15x = 94.5
x = 94.5 / 0.15
x = 630 total cups <==
lets check..
start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it
15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box
<h3>
Answer: 72 words per minute</h3>
Work Shown:
1 hour = 60 min
2 hours = 120 min (multiplied both sides by 2)
2 hours + 30 min = 120 min + 30 min = 150 min
speed = (number of words typed)/(time taken)
speed = (10800 words)/(150 min)
speed = (10800/150) words per minute
speed = 72 words per minute
4/5 x 2= 8/5
Which is 1 3/5 cups needed for 2 pies
2/3X
perpendicular slope is opposite of the sign and flip the fraction
