Using the Pythagorean Theorem, the height of the equilateral triangle is given by:
A.
inches.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs
and
of a right triangle with the length of the hypotenuse h, according to the following equation:

For this problem, we have that:
- The height is one side of the triangle.
- The other side is half the length, of 7 in.
- The hypotenuse is the length, of 14 in.
Hence the height is found as follows:



inches.
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Divide 425/14 which gives us 30.35. . .
It says about so we'll round it $30 per day.
The profit earned by the gift shop owner on fifty vases will be $ 91.07.
<h3>What is profit?</h3>
The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.
The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.
The total cost price of vases:-
50 vases = $210
1 Vase = 210 / 50 = 4.25
So 10 vases will be purchased at the price of:-
10 Vase = 4.25 x 10 = 42.5
Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.
7 Vase = 42.5
1 Vase = 42.5 / 7 = 6.07
So he sold one vase for $6.07 and purchased it at $4.25.
The profit will be = 6.07 - 4.25 = 1.821
So profit for selling 50 vases will be:-
Profit = 50 x 1.821 = $91.07
Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.
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