The correct term is "Pythagorean theorem," not "Patagium theory." The Pythagorean theorem is a fundamental concept in mathematics that relates to right triangles.
It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
For example, consider a right triangle with side lengths of 3 units and 4 units. We can use the Pythagorean theorem to find the length of the hypotenuse:
a² + b²= c²
3² + 4² = c²
9 + 16 = c²
25 = c²
Taking the square root of both sides gives us:
c = √25
c = 5
So, the length of the hypotenuse is 5 units.
The Pythagorean theorem has many practical applications, such as in architecture, engineering, and navigation. It is a fundamental concept in geometry and is often used as a building block for more advanced mathematical concepts.
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Q(−2,1),R(−3,4),S(−5,3),T(−4,0)
B
Q(−2,−1),R(−3,−4),S(−5,−3),T(−4,0)
C
Q(1,2),R(4,3),S(3,5),T(0,4)
D
Q(2,−1),R(3,−4),S(5,−3),T(4,0)
Answer:
The correct answer is:
D) Q(2,1) R(3,-4) S(5,-3) T(4,0)
Step-by-step explanation:
When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.
Then the new coordinates of the parallelogram are:
Q(2,-1) R(3,-4) S(5,-3) T(-4,0)
Midpoint of co-ordinate is (5, 6)
Given that;
Coordinates of A = (2,3)
Coordinates of B = (8,9)
Find:
Midpoint of co-ordinate
Computation:
Midpoint of co-ordinate = [(x1 + x2) / 2], [(y1 + y2) / 2]
Midpoint of co-ordinate = [(2 + 8) / 2], [(3 + 9) / 2]
Midpoint of co-ordinate = [10 / 2], [12 / 2]
Midpoint of co-ordinate = (5, 6)
Learn more:
Answer:
(5,6)
Step-by-step explanation:
Add both "x" coordinates, divide by 2.
Add both "y" coordinates, divide by 2.
(2,3)
(8,9)
10 divided by 2=5
12 divided by 2 is 6
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Answer:
cos theta = adjacent/hypotenuse =
Step-by-step explanation:
csc theta = hypotenuse/opposite = /1 (reciprocal identity)
1^2 + b^2 = ^2 (pythagorean theorem)
b^2 = 5-1
b = 2
cos theta = adjacent/hypotenuse = 2/ (quotient identity)
Answer:
Correct answer: V = 486 π ft³
Step-by-step explanation:
Given:
Diameter of the sphere d = 18 ft
d = 2 · r where r is radius
r = d / 2 = 18 / 2 = 9 ft
r = 9 ft
V = (2/3) · r³· π
V = (2/3) · 9³ · π = (2/3) · 729 · π = 486 π ft³
V = 486 π ft³
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