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:
165
Step-by-step explanation:
33x5=165
Answer:
Height of parallelogram = 5.07 inches
Step-by-step explanation:
We are given Area of Parallelogram = 32 in^2
Height of Parallelogram = ?
Base of Parallelogram = 6.3 in
The formula to find the Area of Parallelogram is:
Area of Parallelogram = Base * Height
32 = 6.3 * Height
=> Height = 32/6.3
=> Height = 5.07 inches
So, height of parallelogram = 5.07 inches
Answer: the slope is defined as the ratio of vertical change between two point.
Step-by-step explanation: or known as the run. The slope of a line is mostly presented by the letter m.
Answer:
She buys 3 pairs from store a.
So divide the 110.25 by 3.
You will get the amount that she spent for each pair.
Change 40% to a decimal which would be .40 then you multiply the amount she spent on each pair ($36.75) by the .40.
You will get 14.7 so you add $14.70 to the amount she spent on each and you will get The original price of each pair was $51.45.
Step-by-step explanation:
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