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rjkz [21]
4 years ago
5

Explain why angle d must be a right anglePls help​

Mathematics
1 answer:
lisabon 2012 [21]4 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides.

Consider the right triangle on the right and calculate n

n² + 2² = 3²

n² + 4 = 9 ( subtract 4 from both sides )

n² = 5 ( take the square root of both sides )

n = \sqrt{5}

If the triangle on the left is right then the square of the longest side must equal the sum of the squares on the other 2 sides.

The longest side is n = \sqrt{5} ⇒ n² = (\sqrt{5} )² = 5 and

(\sqrt{2} )² + (\sqrt{3} )² = 2 + 3 = 5

Hence D is a right angle

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3 years ago
What is the meaning of the unknown factor and quotient
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4 years ago
Identify the k-value that makes the relationship shown in the table below proportional.​
uysha [10]

Answer:

The value of k that makes the relationship shown in the table below proportional is \mathbf{\frac{1}{2}}

Step-by-step explanation:

The relation is proportional if y=kx \:or\:k=\frac{y}{x}

Putting values of x and y to find k.

For x =2 and y =1 k is: k=\frac{y}{x}=\frac{1}{2}

For x =4 and y =2 k is: k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}

For x =6 and y = 3 k is: k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}

For x = 8 and y = 4 k is: k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}

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5 0
3 years ago
You bought 50 shares of stock at $55 per share and sold them for $61 per share. The sale involves a broker’s commission of $0.30
malfutka [58]

Answer:

The profit made is;

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3 years ago
A coffee shop covers it coffee cups for holiday seasons. Their cups are cylindrical, have a 2 inch radius, and a height of 6 inc
slega [8]

Answer:

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Given cylindrical cup have 2 in of radius and height of 6 in.

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After covering the cup, square box will be formed around the cup.

As shown in figure, Top view of square cup and box.

One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in

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Since, Box having 4 faces

Surface area of square box cover = 4 x area of one face of box

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8 0
4 years ago
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