you can measure the first angle with a protractor and then measure the other one see if there is a different angle
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where is the base length and is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where and are bases of the trapezoid, is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases () multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
Answer:
c × 0.90
Step-by-step explanation:
c × 0.90, would be your answer because 10% is equal to 0.10, then you would subtract the 0.10 (10%) by 1 (100%), then multiply c times the 0.90 that you get, to get the decreased number, because you're multiplying by a decimal
Answer:
11/3
Step-by-step explanation:
3(-2/3)²-2(-2/3)+1
=3(4/9)+(4/3)+1
=4/3+4/3+1
=8/3+1
=11/3
<h3>
Answer: 2.2 units</h3>
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Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C
Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
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Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).