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2 years ago

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How do you know that the Pythagorean Theorem is true?

1 answer:

kirza4 [7]2 years ago

5 0

The fact that the angles in a triangle add up to 180 indicates that it is actually a square). There are also four right triangles, each with a base and a height. The Pythagorean Theorem is reached when a2 + b2 = c2.

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Plot another sin function of 20% higher frequency over the same range.

Ostrovityanka [42]

Step-by-step explanation:

The frequency of sine function is given by the number of periods in a given range. For example:

Frequency for $sin(x)$ is 1 in the interval $[0,2\pi]$ .

This means that, if we want another sine function with frequency 20% higher, we need that function to have a frequency of 1.2 in the interval $[0,2\pi]$ .

To be easier to see we will consider interval $[0,10\pi]$ instead of $[0,2\pi]$ . In this interval $sin(x)$ has 5 periods, therefore our new sine function should have 6 periods.

Finally, as we can see in the graph, the function $sin(\frac{6}{5}x )$ (in blue) has a frequency 20% higher than $sin(x)$ (in red). This can be easily seen counting the number of periods between 0 and $10\pi$ for both functions. 5 for $sin(x)$ and 6 for $sin(\frac{6}{5} x)$ .

4 0

3 years ago

A number y increased by 5 is at least -21

gayaneshka [121]

- - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}$

❖ A number y increased by 5 is at least -21.

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}$

❖ First, if you come across the word "increased" it means we

"increase" a number, or add something to that number, like

y increased by 5 $\longmapsto$ $\sf{y+5}$

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

$\longmapsto\sf{y+5\geq -21}}$

<em>Solving for y</em>

<em></em>

Subtract 5 on both sides:-

$\longmapsto\sf{y\geq -21-5}$

$\longmapsto\sf{y\geq -26}$

So the values of y greater than or equal to -26 will make this inequality true.

<h3>Good luck with your studies.</h3>

$\rule{300}{1}$

7 0

2 years ago

Read 2 more answers

An isosceles triangle with congruent sides of 16.2 cm and a third side half that length

Zielflug [23.3K]

Answer: option iii

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

Explanation:

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

First side is = 16.2 cm

Second side is = 16.2 cm

Third side = half of 16.2 = 8.1 cm

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

7 0

3 years ago

Read 2 more answers

Determine the y-intercept from the table.<br> * ILL GIVE YOU BRAINLIST , HAVE TO GET IT RIGHT *

jonny [76]

Answer:

7

Step-by-step explanation:

(0,7) is a point on the y-axis

the function intercepts the y-axis at (0,7)

when the y = 7

4 0

3 years ago

32 is 40 percent of what number?<br> A. 12.8<br> B. 128<br> C. 80<br> D. 800

brilliants [131]

0.4 * x = 32
x = 32 / 0.4 = 80 :D

8 0

4 years ago

Read 2 more answers