Answer:
45
Step-by-step explanation:
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
Hello, what you are looking for is the term z-score. z-score is the standardized score that has been developed for statistics to compare data from different scales. By using the mean and standard deviation of the data values, a z-score is calculated and comparisons can be deduced even if the two data sets have different scales.
For example, if a z-score is 1.33, then it is 1.33 standard deviations from the mean. This result is more typical compared to a z-score of 3 meaning that it is 3 standard deviations from the mean.
A.1
B.3
C.3
Just did this assignment.
