The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30
<h3>How to find the area of the shaded region?</h3>
The area of the shaded region can be represented as follows:
area of the shaded region = area of rectangle - area of triangle
Therefore,
area of the rectangle = (x + 6)(3x - 5)
area of the rectangle = 3x² - 5x + 18x - 30
area of the rectangle = 3x² + 13x - 30
area of triangle = 1 / 2 × 2x × 3x - 5
area of triangle = 3x² - 5x
Therefore,
area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x
area of the shaded portion = 18x - 30
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Answer:
is there a pic?
Step-by-step explanation:
we are able to see
= 16 * 10^13
which in scientific notation is 1.6 * 10^14
Answer:
Correct option: b 39.
Step-by-step explanation:
A one-sample (or one mean) t-test is applied to test whether the population-parameter is significantly different from some hypothetical value.
The degrees of freedom of the <em>t</em>-test is:
df = n - 1
It is provided that the sample size is, <em>n</em> = 40.
Compute the degrees of freedom as follows:
df = n - 1
= 40 - 1
= 39
Thus, the correct option is b.
Answer:
The student is wrong because the sum of any two sides of a triangle should be greter than the third side. The length of a single side of a triangle can not be half or more than half of the perimeter of that triangle. And since the given length is more than half of the perimeter , the student is incorrect .
