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Ratling [72]
3 years ago
7

Find X using the Pythagorean Theorem

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

x = 4.47

Step-by-step explanation:

Formula for hypotenuse:

x =\sqrt{a^2+b^2}

x=\sqrt{4^2+2^2}

x=\sqrt{16+4}

x=\sqrt{20}

x=4.47

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Solve the following problems using Pythagoras. Include a diagram . a. How long must a ladder be to reach 12 ft up the wall, if t
RUDIKE [14]

The length of ladder used is 12.25 ft.

<h3>What is Pythagoras theorem?</h3>

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Solution:

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse^2 = Base^2 + Height^2

16^2 = B^2 + 8^2

B^2 = 256 - 64

B = √192 = 13.856 units

Therefore, the measure of the third side of a triangle is 13.856 units.

given:

base=  2.5 ft,  

perpendicular= 12 ft

Using Pythagoras theorem,

H² =  B² + P²

H² = 2.5² + 12²

H² = 6.25+ 144

H= 12.25 ft

Learn more about Pythagoras theorem here:  brainly.com/question/343682

#SPJ2

6 0
2 years ago
Read 2 more answers
Solve the equation -10x + 1 + 7 = 37
Aneli [31]

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

6 0
3 years ago
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A Fair coin is tossed and a marble is chosen from the bag whose contents are shown below. what is the probability of the coin La
Vera_Pavlovna [14]

Answer:

P(Coin landing heads and blue marble is randomly selected) = 3/20.

Step-by-step explanation:

In this question, two events simultaneously take place. First, all the probabilities have to be identified. It is mentioned that the coin is a fair coin, therefore the probabilities of all the outcomes associated with the coin tossing will be equal. Therefore:

P(Coin landing heads) = 1/2.

P(Coin landing tails) = 1/2.

There are a total of 3 blue + 4 green + 3 red = 10 marbles in the bag. Therefore:

P(Selected marble is blue) = 3/10.

P(Selected marble is green) = 4/10.

P(Selected marble is red) = 3/10.

Assuming that both the events are independent, the probabilities of both the events can safely be multiplied. Therefore:

P(Coin landing heads and blue marble is randomly selected) = 1/2 * 3*10 = 3/20.

Therefore, the answer is 3/20!!!

3 0
3 years ago
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HELP PLEASEEEE. The question is attached. I would appreciate if someone could help me.
Blizzard [7]

a counterclockwise rotation about the origin of 90°

The coordinates of P(3, 3), Q(5, 3), R(5, 7)

The coordinates of P'(- 3, 3 ), Q'(- 3, 5), R'(- 7, 5)

Note that the y-coordinate of the image is the negative of the original, while the x-coordinate of the original becomes the y-coordinate of the image

The rotation which does this is a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )


8 0
3 years ago
The figure below is composed of two right angles. what is the area of the figure in square inches?​
Akimi4 [234]

Answer:

16

Step-by-step explanation:

16 square inches. when u do multiply you just get it so yeah

8 0
3 years ago
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