Answer:
The expression simplifies to .
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the terms in the numerator and in the denominator cancel to give
The are present both in the numerator and in the denominator, so they also cancel, and the fraction simplifies to , so finally our expression becomes:
Which is our answer:)
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
The umber 10.5 can be written as
==> 21 / 2
==> 42 / 4
==> 63 / 6
==> 84 / 8
==> 105 / 10
and many, many other ways.
They ALL have the same value.
Answer:
0.898
Step-by-step explanation:
The formula for the Coefficient of determination = ratio of explained variation to Total variation
From the above question, we have the following values
Explained variation = 18.592
Total variation = 20.711
The coefficient of determination = 18.592 : 20.711
= 18.592/20.711
= 0.8976872194
Approximately ≈ 0.898
Therefore, the coefficient of determination is 0.898
Answer:
1/3
Step-by-step explanation:
The slope of a line is rise over run, aka. rise/run. You will need to "rise" 1 unit up and "run" three units to the right to reach the next point.