Answer:
A
Step-by-step explanation:
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
I
longest side squared = (
)² = 74
5² + 7² = 25 + 49 = 74
Thus these sides represent a right triangle
II
longest side squared = (
)² = 106
7² + 8² = 49 + 64 = 113
These sides do not represent a right triangle
III
longest side squared = (
)² = 133
6² + 10² = 36 + 100 = 136
These sides do not represent a right triangle
The only valid sides are I → A
<span>7b-15=5b-3
2b = 12
b = 6
hope it helps</span>
After 7 years the laptop computer will be worth $200 or less.
In this question, we have been given a laptop computer is purchased for $1500 . Each year, its value is 75% of its value the year before.
We need to find the number of years when laptop computer be worth $200 or less.
We can see that given situation represents exponential decay function with initial value 1500, decay rate = 0.75 and the final value = 200
We need to find period t.
For given situation we get an exponential function as,
1500 * (0.75)^t ≤ 200
(0.75)^t ≤ 2/15
t * ln(0.75) ≤ ln(2/15)
t * (-0.2877) ≤ -2.0149
t ≥ (-2.0149)/(-0.2877)
t ≥ 7
Therefore, the laptop computer will be worth $200 or less after 7 years.
Learn more about exponential function here:
brainly.com/question/14355665
#SPJ4
Answer:
2/105
Step-by-step explanation:
"r" is the greatest common divisor (GCD) of the two fractions. It can be found using Euclid's algorithm in the usual way.
(8/15) - (18/35) = 56/105 - 54/105 = 2/105 . . . . . this is (8/15) mod (18/35)
We can see that the next step, division of 54/105 by 2/105, will produce a remainder of 0, so the GCD is 2/105.
The greatest rational number r is 2/105.
_____
<em>Check</em>
The ratios are (8/15)/(2/105) = 28; (18/35)/(2/105) = 27. These whole numbers are relatively prime, so there is no larger r than the one we found.
The answer is E your welcome
