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3 years ago

What is the Pythagorean Theorem

2 answers:

3 0

The Pythagorean Theorem is geometry among the three sides of a right triangle . It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Jobisdone [24]3 years ago

3 0

In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

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Which of the following would triple the volume of the Egyptian square-based Pyramid below?

Stels [109]

The volume of a pyramid with a square base is given by: $V= a^{2} ( \frac{h}{3})$ . This is the way the volume is usually given but we can also multiply the two terms and write it this way: $V= \frac{ a^{2}h }{3}$ .

We are looking to triple the Volume which means we want to multiply it by 3. With respect to our volume equation, we multiply both sides by 3 to obtain:
$3V= a^{2} h$

So, we are looking to see which of the choices given produces a volume equal to $a^{2} h$ .

The first choice is the right answer. Notice what happens when we take the volume formula and multiply the h by 3. We get: $V= (\frac{ a^{2}(3)h }{3} )$ and since there is a 3 in both the numerator (top) and the denominator (bottom) we can cross these out. That leaves us with a volume equal to $a^{2} h$ which is what we were looking for!

8 0

4 years ago

A rectangle has a perimeter of 80m and a length of 27m what is the width

Zepler [3.9K]

Answer:

53m

Step-by-step explanation:

Subtract 80m by 27m

8 0

3 years ago

The north american and european continents are moving apart at a rate of about 3 cm/y. at this rate how long will it take them t

soldier1979 [14.2K]

In this case, the continents are moving apart at a rate (velocity = 3 cm/y) and the distance for continent to move(distance= 500km). You are asked how long it will take(time). Then to answer this question you need to convert the 500km into the same unit as the velocity which was cm. The formula would be:

Distance = velocity x time
500km x 10^5 cm/km= 3cm/year x time
time= 5x 10^7 cm / (3cm/year)
time= 1.7 x 10^7 year or 17 million year

6 0

3 years ago

A number from 13 to 21 is drawn at random. P( a prime number)

Stolb23 [73]

Answer:

Probability[Prime number] = 1/3

Step-by-step explanation:

Given:

Total number between 13 to 21;

13, 14, 15, 16, 17, 18, 19, 20, 21

Find:

Probability[Prime number]

Computation;

Total number between 13 to 21 = 9

Total number of prime number;

13, 17 ,19

Total number of prime number = 3

Probability pf event = Number of favorable output / Total output

Probability[Prime number] = Total number of prime number / Total number between 13 to 21

Probability[Prime number] = 3 / 9

Probability[Prime number] = 1/3

4 0

3 years ago

Which is one one way to check 102 ÷ 6 = 17

sleet_krkn [62]

One way to check if 102 ÷ 6 = 17 is by focusing on the left side of the equation.

102 ÷ 6 can be converted into $\frac{102}{6}$

$\frac{102}{6}$ can be simplified, lets start by dividing the numerator and denominator by 2.

\frac{102/2}{6/2} = \frac{51}{3}

$\frac{51/3}{3/3}$ = $\frac{17}{1}$

$\frac{17}{1}$ can be rewritten as 17.

5 0

4 years ago

Read 2 more answers