Solve using the Pythagorean theorem.
The hypotenuse is c.
Find the value of x. A. 18 B. 22 C. 24 D. 28
2 answers:
<u>Answer:</u>
The correct answer option is A. 18.
<u>Step-by-step explanation:</u>
We have a right angled triangle with the complete values of two sides: the perpendicular and the base with side lengths 40 and 30 respectively.
We can use the Pythagoras Theorem to find the hypotenuse.
Assuming the hypotenuse to be A:
To find x, we will subtract 32 from the length of hypotenuse:
Therefore, the value of x = 18.
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Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
