Answer:
6 feet
Step-by-step explanation:
Let x represent the length of "another side." Then "one side" is ...
2x -10 . . . . . . 10 feet shorter than twice another side
The sum of these two side lengths is half the perimeter, so is ...
x + (2x -10) = 14 . . . . . two sides are half the perimeter
3x = 24 . . . . . . . . . . . . add 10, collect terms
x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x
(2x -10) = 2·8 -10 = 6 . . . . find "one side"
We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.
We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

We have then a total number of grades of 39.
The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.
Then, for grade A, the relative frequency (RF) will be:

This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.
Now, to complete the table we do the same for the other frequencies:
For grade B:

For grade C:

For grade D:

For grade F:
Answer:
6x^2 - 3x

Step-by-step explanation:
3x (2x-1)
multiply 3x by 2x -> 6x^2
multiply 3x by -1 -> -3x
Answer:
(a) 17°
(b) 78°
Step-by-step explanation:
(a) sin A= 0.2896
to calculate for "A" check for sin inverse of 0.2896
A= sin^-1(0.2896) = 16.83
to the nearest degree A= 17°
(b) tan A = 4.7046
A= tan^-1(4.7046)
A = 77.99
to the nearest degree A = 78°
Answer:
2. unabated
3. vindication
4. commence
5. prudence
6. denunciation
Step-by-step explanation: