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alexandr402 [8]
3 years ago
10

In the world of right triangles why does a (squared) + b(squared) = c(squared)? thanks konrad streuli

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

Pythagoras Theorem

Step-by-step explanation:

Like you rightly stated, in a right angled triangle. The phenomenon you mentioned is what us called Pythagoras theorem which proved to us that the square of the length of the hypotenuse of a right angled triangle, is equal to the square of the length of the opposite side to the angle in question, and also to the square of the length of the side adjacent to the same angle in question.

Essentially,

a² + b² = c², where c is the hypotenuse and a & b is the length of the two other sides

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Solve using long division
Mice21 [21]
19x-53 / x^2 + x + 2

You want to put a - ( 19 x / x^2 + x + 2 - 53/x^2 +x +2)
4 0
3 years ago
3y + 7 = x is this a direct proportion
Tju [1.3M]

Answer:

no

Step-by-step explanation:

if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k

3 0
2 years ago
Which inequality is true?
DiKsa [7]

Answer:

C. 5\pi > 15

Step-by-step explanation:

In the given series of inequalities, the inequality sign determines the final outcome.

A. 4\pi - 2 < 10

4\pi < 12

\pi < 3

Since \pi < 3, then the inequality is false

B. \pi + 9 < 12

\pi < 3

Since \pi < 3, then the inequality is false

c. 5\pi > 15

\pi > 3

Since \pi > 3, then the inequality is true

D. 6 > 2\pi

3 > \pi

Since \pi < 3, then the inequality is false

Thus, the only inequality that is true is option C.

3 0
3 years ago
A person that is 5 feet tall casts a shadow 25 feet long. How long is the shadow of a tree that is 15 feet tall?
fiasKO [112]
The person and his shadow make a right triangle as well as the tree and it's shadow. they will be similar right triangles containing angles that are equal. I'm in similar triangles the angles are proportional so a ratio could be used to determine the shadow length. this ratio is:
25/5 = x/15
(Notice that both the height of the person and
the height of the tree height of the tree are on
the bottom because these would be similar
sides and the same for the shadows with both
on top. this could easily have been switched
with the shadows on bottom and heights on
top like:
5/25 = 15/x
however I noticed the 25/5 could easily be
reduced. this eliminated the need for cross
multiplication.)

The 25/5 can be reduced to 5:
5 = x/15
and then multiply both sides by 15 and you get:
x = 75
so the answer is 75 feet long.

this can be checked various ways. using trigonometry we have the opposite and adjacent sides so tangent could be used to find the angle between the shadow and the hypotenuse. this is:
tan (x) = opposite/adjacent
opposite = height
adjacent = shadow
so:
tan (x) = 5/25 for person
tan (x) = 15/75 for tree
these equations both reduce to:
tan (x) = 1/5
And of both equations are the same then the angLee are equal creating similar triangles and a correct answer
4 0
3 years ago
Witch of the following Represents the distance between 4/3 and 1/3
marishachu [46]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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