Which is the net for this rectangular prism?
1 answer:
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Question 1:
This is a 45-45-90 right triangle. If the leg length is
, then the hypotenuse length will be 
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
. Thus, the last choice is your answer.
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of.
Then, the longer leg will have a length of
.
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
This is a 45-45-90 right triangle. If the leg length is
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
Then, the longer leg will have a length of
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
That's vertex form for a parabola and we read off vertex (p,q) as
Answer: Vertex (5,7)
The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual . I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.
Answer: downward