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.
Check the picture below.
so the lunchbox is really a semi-circle with a radius of 3, sitting on top of a square of 6x6, with a lenght of 10.
the volume of the lunchbox then will be the area of the semi-circle and square times the length.
![\bf \left[ \stackrel{\textit{semi-circle's area}}{\frac{\pi 3^2}{2}}+\stackrel{\textit{square's area}}{(6\cdot 6)} \right]\stackrel{length}{10}\implies \left( \frac{9\pi }{2}+36\right)(10)](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%5B%20%5Cstackrel%7B%5Ctextit%7Bsemi-circle%27s%20area%7D%7D%7B%5Cfrac%7B%5Cpi%203%5E2%7D%7B2%7D%7D%2B%5Cstackrel%7B%5Ctextit%7Bsquare%27s%20area%7D%7D%7B%286%5Ccdot%206%29%7D%20%5Cright%5D%5Cstackrel%7Blength%7D%7B10%7D%5Cimplies%20%5Cleft%28%20%20%5Cfrac%7B9%5Cpi%20%7D%7B2%7D%2B36%5Cright%29%2810%29)
The line is passing through the y-axis at 3. The slope of the line is 3.
So your equation would be y = 3x + 3.
Now solve A through F to see which equation(s) matches the line.
A. y + 6 = 3(x + 3)
y + 6 = 3x + 9
y = 3x + 3
B. y + 6 = 3(x + 1)
y + 6 = 3x + 3
y = 3x - 3
C. y - 6 = 3(x - 3)
y - 6 = 3x - 9
y = 3x - 3
D. y - 6 = 3(x - 1)
y - 6 = 3x - 3
y = 3x + 3
E. y = 3x + 2
F. y = 3x + 3
Which letters equaled y = 3x +3?
A, D, and F.
The equations that describe the line are A, D, and F.
Answer:
Michael
Step-by-step explanation:
The pieces of Michael's rope were (28 in)/5 = 5.6 in long.
The pieces of Brenden's rope were (30 in)/6 = 5.0 in long.
Michael's rope was cut into longer pieces.
Answer:
b
Step-by-step explanation:
in order for it to be a function the x values cannot repeat.
in answer b the x value 6 repeats twice therefore it is not a function
