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4 years ago

Which set of side lengths is a Pythagorean triple? 2, 3, 13 5, 7, 12 10, 24, 29 11, 60, 61

Mathematics

2 answers:

elena-14-01-66 [18.8K]4 years ago

7 0

11, 60, 61 side lengths are a pythagorean triple.

goldenfox [79]4 years ago

6 0

Answer: The correct answer is "11,60 and 61".

Step-by-step explanation:

The expression from the Pythagoras theorem in the right triangle is as follows;

$AC^{2} =BC^{2} + AB^{2}$ ...... (1)

Here, AC is the longest side which is hypotenuse, AB is the shortest side which is perpendicular in the right triangle and BC is the side of the triangle.

Only 11, 60 and 61 satisfies the above expression.

$(61)^{2} =(60)^{2} + (11)^{2}$

$3721=3600+121$

$3721=3721$

Therefore, L.H.S is equal to R.H.S. It satisfies the Pythagoras theorem.

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Calculate the area of the quarter circle estimate using 3.14 for pi

mars1129 [50]

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Area of a quarter circle is given by the formula:

$Area = \frac{\pi r^2}{4}$

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π = 3.14

Substitute π = 3.14 and r = 3 into the formula $Area = \frac{\pi r^2}{4}$

$Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2$

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Learn more here: brainly.com/question/25843249

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3 years ago

A baseball is thrown from the top of a building and falls to the ground below. The height of the baseball above the ground is ap

lidiya [134]

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3 years ago

Mrs Rivas bought a can of paint he used 3/8 of paint and 1/4 he also used some for a birdhouse and had 1/8 of paint left how muc

Degger [83]

Answer:

The amount of paint used in the birdhouse = (1/4) of paint

Step-by-step explanation:

The amount of paint used in first go = 3/8

The amount of pain used in second go = 1/4

The amount of paint used in bird house = k

The amount paint left = 1/8

Now, according to the question:

Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint

⇒ $\frac{3}{8} + \frac{1}{4} + k + \frac{1}{8} = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8} = \frac{8-6}{8} = \frac{2}{8} = \frac{1}{4} \\\implies k = \frac{1}{4}$

or, The amount of paint used in the birdhouse = (1/4)

5 0

3 years ago

Find the length of the missing side

faltersainse [42]

Answer:

c = 17

Step-by-step explanation:

Since this is a right angle triangle we can use the Pythagoras theorem that states that $c^{2} = a^{2} + b^{2}$ (where c is the Solve for hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....

$c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17$

6 0

3 years ago

Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.

loris [4]

The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0

Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3

4 0

3 years ago