9 ≤ 17 - 4x
9 - 17 ≤ 17 - 17 - 4x
-8/-4 ≤ - 4x/-4
x≤ 2
hope this helps
Answer:
Step-by-step explanation:
AC is the geometric mean. Solve it using this proportion:
Now fill in the values we know:
Cross multiply to get
That means that
AC = 
, which, in decimal form is
AC = 11.40175425
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
Multiply 23.93 by 14. There’s the answer
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