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Ad libitum [116K]
2 years ago
11

Pete asks Buzz to make a triangular truss with sides that are 5 feet, 6 feet, and 9 feet. Is this enough information for Buzz to

make a truss with the correct size and shape? Explain
Mathematics
1 answer:
Georgia [21]2 years ago
8 0

Answer: Yes.

Step-by-step explanation:

One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.

Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.

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Find the arc length on a circle with radius =4 inches and central angle of 30°
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Answer:

Step-by-step explanation:

I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:

AL=\frac{\theta}{360}*2\pi r

Our angle is 30 and our radius is 4, so we fill in accordingly:

AL=\frac{30}{360}*2(3.1415)(4) (this is if you multiply in pi. We'll find the answer in terms of pi as well).

AL = \frac{1}{12}*25.132 and

AL = 2.09433 inches

In terms of pi, the answer would be

AL = \frac{2}{3}\pi inches

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