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3 years ago

How exactly does Pythagorean theorem work??

Mathematics

2 answers:

OverLord2011 [107]3 years ago

7 0

Answer:

Pythagorean Theorem is used when you have to find a side length of right triangle. Leg 1 and Leg 2 could be labeled as A and B, doesn't matter which one is which. But C is always the hypotenuse which is the biggest side in the whole triangle. And to find the hypotenuse of the it is always the side length opposite to the right angle in the triangle. So the formula goes like;

A² + B² = C²

Hope this helps!

kow [346]3 years ago

6 0

Answer:

Given the sides of a triangle, the Pythagorean Theorem (its converse, really) lets us distinguish the right triangles from the other triangles. The right triangles are the ones where , where is the length of the longest sides and and are the other two. So the Pythagorean Theorem works for any triangle.

Step-by-step explanation:

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In a recent survey, 66% of the community favored building a health center in their neighborhood. Suppose 12 citizens are randoml

ipn [44]

Answer:

0.1197 = 11.97% probability that exactly 10 of the 12 individuals favor building the health center

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

66% of the community favored building a health center in their neighborhood.

This means that $p = 0.66$

12 citizens

This means that $n = 12$

What is the probability that exactly 10 of the 12 individuals favor building the health center?

This is P(X = 10).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{12,10}.(0.66)^{10}.(0.34)^{2} = 0.1197$

0.1197 = 11.97% probability that exactly 10 of the 12 individuals favor building the health center

4 0

4 years ago

Solve 5 - 2x < 7. A) x < -1 B) x > -1 0x< -12 D) x>-12

Alinara [238K]

Answer:

x < - 1

Step-by-step explanation:

You have to treat it is a linear equation.

First, - 5 from both sides, resulting in -2x < 2.

Lastly, you need to find x on it's own so you have to divide by - 2.

Therefore, the answer would be x < -1.

Hope this helps :)

5 0

2 years ago

Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10

PtichkaEL [24]

Answer:

${ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}$