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3 years ago

The legs of a right triangle are 10 centimeters and 24 centimeters long what is the length of the hypotenuse ?

1 answer:

6 0

Let the hypotenuse be x then,
Using the pythagoras theorm,
10^2 + 24^2 = x^2 (alt^2 + base^2 = hypo^2)
100 + 576 = x^2
676 = x^2
Therefore x= square root of 676 = 26
Hope this helped! :D

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1 year ago

When a group of colleagues discussed where their annual retreat should take place, they found that all the colleagues: 25 would

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Answer:

63 people

Step-by-step explanation:

We have the following:

Let P: the subset of those 25 who would not go to a park

Let B: the subset of those 27 who would not go to the beach

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Thus:

The intersection PB of subsets P and B consists of 10 people (i.e. neither a park nor a beach)

The intersection BC of subsets B and C consists of 7 people (i.e. neither beach nor cottage)

The intersection PC of subsets P and C consists of 6 people (i.e. neither a park nor a cottage)

We are also told that the PBC intersection of subsets P, B, and C consists of 4 person (i.e. would not go to a park, beach, or cottage)

The complement of the union of the sets P, B and C for the whole group consists of 6 people (that is, willing to go to the three places)

The formula to apply is as follows:

# (PUBUC) = #A + #B + #C - #AnB - #BnC - #AnC + #AnBnC

Replacing:

= 25 + 27 + 24 - 10 - 7 - 6 + 4

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3 years ago

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an ellipse has a center at the origin , a vertex along the major axis at (13,0), and a focus at (12,0). What is the equation of

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Answer:

The answer to your question is below

Step-by-step explanation:

Data

Center = (0, 0)

Vertex = (13, 0)

Focus = (12, 0)

Process

From the data we know that it is a horizontal ellipse.

1.- Calculate "a", the distance from the center to the vertex.

a = 13

2.- Calculate "c", the distance from the center to the focus

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3.- Calculate b

Use the Pythagorean theorem to find it

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