sals sporting goods company plans to sell items at a local football staduim. They will sell two items that have the home team’s
logo: hats for $12 and shirts for $20. They must pay the stadium $500 for the right to sell merchandise, and they must pay the home team $1.50 for each item with their team’s logo. Production cost $7 and $9 for each shirt. They only have enough space for 200 items. What possible combinations of hats and shirts will create a profit (when income is more than expenses)?
1 answer:
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<h2>○=> <u>Correct option</u> :</h2><h2>
</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
We know that :
So, let the diameter of this circle be x.
Which means :
Thus, the radius of the circle Robert drew = 6 m
Since the circle in option B has a radius of 6 m, it is the circle Robert drew.
▪︎<em>Therefore, the correct option is (B)</em>
One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel
<h3><u>Solution:</u></h3>Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.
We have to prove that the lines are parallel.
If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.
Now, the 1st angle will be 1/6 of right angle is given as:
And now, 15 degrees is 11 times smaller than the other
Then other angle = 11 times of 15 degrees
Now, sum of angles = 15 + 165 = 180 degrees.
As we expected their sum is 180 degrees. So the lines are parallel.
Hence, the given lines are parallel