Answer:
C
Step-by-step explanation:
no of rulers each student gets,=,no of rulers ÷ no of students
........=83÷s OR
83/s
A^2+b^2=c^2
(10.1)^2+(12.2)^2=c^2
102.01+148.84=c^2
250.85=c^2
15.8=c
Hypotenuse is approx 15.8 inches
Answer:
use a calculator
Step-by-step explanation:
ur welcome
9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two <em>triangles that are each similar to each other and to the larger right triangle</em>. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
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<em>Additional comment</em>
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the <em>geometric mean</em> of the two hypotenuse segments it touches. 18 = √(12y)
__
There are two other "geometric mean" relationships in this triangle.
- The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
- The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)
Answer:
Per hour decay of the isotope is 0.96%.
Step-by-step explanation:
Amount of radioactive element remaining after t hours is represented by
where a = initial amount
t = duration of decay (in hours)
Amount remaining after 1 hour will be,
y = 0.9904a
So amount of decay in one hour = a - 0.9904a
= 0.0096a gms
Percentage decay every hour = 
= 
= 0.958 %
≈ 0.96 %
Therefore, per hour decay of the radioactive isotope is 0.96%.
