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4 years ago

How did Greek mathematician Pythagoras come up with the Pythagorean Theorem. Explain

1 answer:

3 0

The theorem was known to the Babylonians and Indians long before Pythagoras's time. However it is thought That the Greek Pythagoras was the first to construct a proof of the theorem, that,s why it was named after him.

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-k / 3 = 9 = ? ? ? ty

Mekhanik [1.2K]

Answer:

the answer for -k/3=9 is K= -27

Step-by-step explanation:

hope this helps. if you want the steps let me and i will put it their

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3 years ago

-c>-19 solve the inequality

Katen [24]

Answer: c < 19

Step-by-step explanation:

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3 years ago

Dustin bowled a three-game series at a bowling alley. His scores for the three games were 178, 209, and 159. What was Dustin's a

alexandr1967 [171]

Answer:

182

Step-by-step explanation:

Add 178 + 209 + 159 = 546

Then divide 546 by 3 = 182

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3 years ago

A graph is shown below. Which function represents the graph?

Ede4ka [16]

Given that the graph of a parabola.

We need to determine the function that represents the graph.

Function of the graph:

From the graph, it is obvious, that the x - intercepts of the graph are $x = -3,x=-5$

Thus, the equation can be written as

$y=(x-(-3))(x-(-5))$

Simplifying the terms, we have;

$y=(x+3)(x+5)$

Multiplying, we get;

$y=x^2+5x+3x+15$

Adding the like terms, we have;

$y=x^2+8x+15$

Writing it as function, we have;

$f(x)=x^2+8x+15$

Hence, the function of the graph is $f(x)=x^2+8x+15$

7 0

3 years ago

An architect is designing a department store. She wants to add an escalator. She knows that the escalator will make a 30° angle

lbvjy [14]

As per the problem

The escalator make a 30° angle with the floor .

The escalator have a vertical height of 36 feet.

Now draw the diagram with the given information, the diagram is attached below

From the diagram,

Horizontal length=AB=d

Distance traveled by the person on the escalator stairs=AC=l

In triangle ABC,

$tan30=\frac{36}{d}\\ \\ \frac{1}{\sqrt{3}} = \frac{36}{d}\\ \\ d=36\sqrt{3} \\$

Again in triangle ABC, Using Pythagoras Theorem

$AC^2=AB^2+BC^2\\ \\ l^2=36^2+(36\sqrt{3})^2\\ \\ l=\sqrt{36^2+(36\sqrt{3})^2} \\ \\ l=\sqrt{5184} =72\\$

The horizontal length needed is $36\sqrt{3} ft$

The distance a person would travel on the escalator stairs is 72 ft

3 0

3 years ago