5x² + 5x + 2x + 2
5x(x + 1) + 2(x + 1)
(5x + 2)(x + 1)
Answer:
A) 24 ft³
Step-by-step explanation:
The area of the right triangle base is ...
A = (1/2)(3)(4) = 6 ft²
The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).
V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A
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<em>Comment on the triangle</em>
You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:
5² = 3² +4²
25 = 9 + 16 . . . . . true; so the triangle is a right triangle
In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.
Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.
A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle
Answer: 20.57142857
Step-by-step explanation:
148 = 3x + 3 + 4x + 1
Step one: combine like terms
148 = 7x + 4
Step 2: Subtract the 4 over to 148
144 = 7x
Step 3: Divide 7 on both sides
20.57142857 = x
Answer:
True
Step-by-step explanation:
Descriptive statistics gives certain information about the data that helps us understand it better. For example, If you have a data set containing the number of customers that visit a shopping mall per day, the proportion of male customers or the average number of customers over period of time are some examples of descriptive statistics.
Inferential statistics uses sample data from a larger population to make certain inferences and draw conclusions about that population based on some standard procedures. Some examples of methods in inferential statistics are, Confidence intervals, Hypothesis Testing and Regression analysis
