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
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
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!!!
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 )
Answer:
16
Step-by-step explanation:
16 square inches. when u do multiply you just get it so yeah
