The vertical lines are absolute values, the number in between them, if negative turns positive.
First of all, let's recall that the full circumference is
Now, since 30 is one twelfth of 360, a 30° arc will be one twelfth of the whole circumference. So, if you call the arc length A, you have
Since we know the arc length, we can build and solve the following equation:
<h3>
Answer: 576 </h3>
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Check out the diagram below.
I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.
- Block A = largest block on the left
- Block B = middle block
- Block C = smallest block on the right
So,
- volume of block A = length*width*height = 6*6*8 = 288 ft^3
- volume of block B = length*width*height = 6*6*5 = 180 ft^3
- volume of block C = length*width*height = 6*6*3 = 108 ft^3
Therefore, the total volume we're working with is:
A+B+C = 288+180+108 = 576 cubic feet
The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.
Since 1 is your initial value you plot a point at (0,1) just like you did , but since your slope (rise/run) is 3, you will go up 3 and over 1, so you will need to graph the point (1,4) instead of (1,-2). Your line will be going up , since a graph is read left to right, you have a positive slope so your line will go up. Hope I helped !
Answer:
145
Step-by-step explanation:
Because that angle(C) is sum of the A & B. ✌️