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Len [333]
3 years ago
8

the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

  116.82 square inches

Step-by-step explanation:

The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.

The area of the four triangles is ...

  total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²

The area of the 10-inch square is ...

  square area = (10 in)² = 100 in²

Then the total window area is ...

  window area = 16.82 in² +100 in²

  window area = 116.82 in²

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Make the whole number as an improper fraction. example, 2 7/12 would be 31/12 and then you can multiply 8/1 x 31/12
3 0
3 years ago
2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver
timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

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Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

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x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

y = 2x^{2} - 9x - 56

2x^{2} - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

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x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5

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The diver will be 8 feet from the end of the board when he hits the water.

7 0
3 years ago
Solve for x: 18 = x/4 + 7
alex41 [277]

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4 0
3 years ago
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Answer please i am literally crying because i will get in trouble if i dont do it
alekssr [168]
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100% - 20% = 80% = 0.8
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3 0
4 years ago
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Verdich [7]

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