By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
#SPJ1
we know that
If triangle LMN is a right triangle then must meet the Pythagorean Theorem
so
Applying the Pythagorean Theorem
substitute the values
------> is true
The triangle LMN is a right triangle
therefore
the answer is the option A True
Perimeter = combine length and width of all the sides
2(8x - 43) + 2(5x + 12)
16x - 86 + 10x + 24
26x -62
The solution is C
Cylinder:
V = pi * r^2 * h
V = 3.14 * 9^2 * 11
Simplify exponent:
V = 3.14 * 81 * 11
Multiply:
V = 2797.74
Sphere:
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 9^3
Simplify exponent:
V = 4/3 * 3.14 * 729
Multiply:
V = 3052.08
Cone:
V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 12^2 * 20
Simplify exponent:
V = 1/3 * 3.14 * 144 * 20
Multiply:
V = 3014.4
So the Sphere holds the most.
Answer:
602.88cm²
Step-by-step explanation:
Find the image of the cylinder attached
Surface area of a cylinder = A=2πrh+2πr²
r is the radius = 4cm
Height h = 20cm
Substitute
A = 2πr(r+h)
A = 2π(4)(4+20)
A = 8π(24)
A = 192π
A = 192(3.14)
A = 602.88cm²
Hence the surface area of the cylinder is 602.88cm²
