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Wewaii [24]
3 years ago
6

Which of the following sets could be the sides of a right triangle?{2, 3, square root of 13} {5, 5, 2, square root of 10} { 5, 1

2, 15 }
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0

Answer:

{2, 3, √13}  

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides equals the square of the third side (Pythagoras).

Let's check each set of sides in turn.

A. {2, 3, √13}

2² + 3² = 4 + 9 = 13

(√13)² = 13

This is a right triangle.

B. {5, 5, 2, √10}

This is a quadrilateral (four sides).

C. {5, 12, 15}

5² + 12² = 25 +144 = 169

15² = 225

This is not a right triangle.

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Answer:

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Step-by-step explanation:

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3 years ago
Find the scale factor of a cube with volume 216 ft^3 to a cube with volume 1000 ft^3.
Bad White [126]

Answer:

Scale factor of  cube to the smaller cube is 5 : 3.

Step-by-step explanation:

Ratio of the volumes of two cubes = \frac{\text{volume of large prism}}{\text{Volume of small prism}}

                                                          = \frac{1000}{216}

                                                          = \frac{125}{27}

Scale factor of these cubes = \sqrt[3]{\text{ratio of the volumes of the cubes}}

                                              = \sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}

                                              = \sqrt[3]{\frac{125}{27} }

                                              = \frac{5}{3}

                                              = 5 : 3

Therefore, scale factor of  cube to the smaller cube is 5 : 3.

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Step-by-step explanation:

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2 years ago
Help me!!! I need help ASAP
tia_tia [17]

9514 1404 393

Answer:

  y = 3.02x^3 -5.36x^2 +5.68x +8.66

Step-by-step explanation:

Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.

__

If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.

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Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.

8 0
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