The table below shows how many triangles are formed when all the diagonals are drawn from one vertex in different regular polygo
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First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>
Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>
Therefore,
Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>
Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>
h = 4 inches
Therefore,
Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most
3. Look at the picture.
We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:
4.
Look at the picture.
Use Pythagorean theorem:
5.
TRUE: 1; 2; 4
6.
We find a slope of the line OP:
We have:
Now, we must find the slope of the line perpendicular to the line OP.
We know:
therefore
So. We have the answer! :)
We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:
4.
Look at the picture.
Use Pythagorean theorem:
5.
TRUE: 1; 2; 4
6.
We find a slope of the line OP:
We have:
Now, we must find the slope of the line perpendicular to the line OP.
We know:
therefore
So. We have the answer! :)