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Liula [17]
2 years ago
7

The tip of a toy arrowhead shaped as an isosceles right triangle is sketched on a graph. the endpoints of one leg are (0,0) and

(0,10) what is the length of the longest side of the tip?
Mathematics
1 answer:
9966 [12]2 years ago
6 0

We need to find the length of the longest side of an arrowhead.

Length of the longest side of the tip is 14.14\ \text{units}.

The length of one of the legs of the isosceles right triangle is 10 units.

Since, it is a isosceles right triangle, two sides will have equal lengths.

So, the other side of the triangle will also be 10 units and the angle between these two sides will be 90^{\circ}.

So, the Pythagoras theorem can be used to find the third side which will be the longest.

h=\sqrt{10^2+10^2}=\sqrt{200}\\\Rightarrow h=10\sqrt{2}=14.14\ \text{units}

The length of the longest side of the tip is 14.14\ \text{units}.

Learn more:

brainly.com/question/10803992

brainly.com/question/16893462

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OLEGan [10]

Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

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43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

x = 50

So, the required number of units are 50.

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If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sales tax?
Delvig [45]
Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.

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