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mr Goodwill [35]
3 years ago
10

Determine whether a triangle with sides .20 inches 48 inches and 52 inches long is a right triangle. Justify your answer.

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
To find out whether or not a triangle is a right triangle, you have to figure out whether or not it satisfies the Pythagorean Theorem.

The Pythagorean Theorem says that the sum of the squares of the side lengths, represented by variables a and b, must equal the square of the hypotenuse, represented by c. 

a² + b² = c²

20² + 48² = 52²

400 + 2304 = 2704

2704 = 2704

When we plug in the side lengths and simplify the Theorem, it results in a true statement, so we can conclude that yes, the triangle is a right triangle.
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Answer: 2+i5,\ 29

Step-by-step explanation:

Given

Complex number is 2-i5

Its conjugate is obtained by changing the sign of the original number i.e. 2+i5

The product of the two numbers is

\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29

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What number completes the equation shown?<br> 7 × 1.25<br> ?<br> Enter your answer in the box.
nikdorinn [45]

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8.75

Step-by-step explanation:

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The area of circle Z is 64. What is the value of r? r = ____ft
andrezito [222]
Given the circle has a radius of 64, to get the value of the radius,r we shall proceed as follows.
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What is 18.4 times 3.40 and the wprk showed
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Decimal division is super easy, let me show you how.

First, let's remove the decimal from both numbers. We have <em>184 </em>and <em>340</em>. Now let's multiply those two numbers.

184*340 = 62560.

Now, we need to figure out how many decimal places are in the original decimals. 18.<u>4</u> has one decimal place, and 3.<u>4</u> has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)

Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.

If there's only two decimal places in 62560, it would look like this: 62.<u>56</u> (<em>Remember, zeros at the end of a decimal does not count as a decimal place!)</em>


There's your final answer. 62.56.


Hope this explanation helped you out. :)

7 0
3 years ago
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