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Leviafan [203]
3 years ago
9

Which set of numbers could represent the lengths of the sides of a right triangle?

Mathematics
2 answers:
wolverine [178]3 years ago
4 0

.............................

trasher [3.6K]3 years ago
4 0
A because when you plug them into the pythagorean theorem they equal each other.
a^2 + b^2 = c^2
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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
Simplify the radical of 200 squared
Thepotemich [5.8K]

Answer:

The answer is 10√2.

Step-by-step explanation:

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3 years ago
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PLEASE HELP ME PLEASE!
maria [59]
They can because of zero property. If we set them equal to zero we get their roots which is 3 and -2. This is the same on the x axis which is goes through. We can mark these points.
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T = an + b ( solve for b )
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B=t-am is the correct answer:)
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A mutual fund has total assets of 2.4 million dollars and 300,000 shares. What is the net asset value of one share of the fund?
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I believe the answer is c. $8. 00
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4 years ago
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