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artcher [175]
3 years ago
7

What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular

window frame is shown. The longest side has length labeled as 78 inches. The height of the frame is labeled as 72 inches. a.30 inches b.36 inches c.50 inches d.75 inches

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0
78^2-72^2= 900
√900= 30

a. 30in
Svetradugi [14.3K]3 years ago
3 0

Answer: 30 inches


Step-by-step explanation:

From the given figure we can see , the window frame is in the shape of right triangle.

Thus we can apply Pythagoras theorem here.

Pythagoras theorem tells that the square of the longest sides of right triangle is the sum of the square of the other two sides.

Let the third side be 'x', then

78^2=72^2+x^2\\\Rightarrow\ x^2=78^2-72^2\\\Rightarrow\ x^2=6084-5184\\\Rightarrow\ x^2=900\\\Rightarrow\ x=30\ inches

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After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




5 0
3 years ago
Read 2 more answers
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Diano4ka-milaya [45]
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