Answer: Angle formed with height and hypotenuse is 40 degrees
Explanation:
Hi, to answer this question we have to analyze the information given:
Since the triangle is a right triangle it has a right angle that has a value 90 degrees.
Since the sum of the interior angles is equal to 180 degrees:
180 = x +50 + 90
Solving for x:
180-90-50 =x
40° =x
Feel free to ask for more if needed or if you did not understand something.
The acceleration of the pendulum mass D is; r"_d = [x''(t) + lθ'' cos θ - lθ'² sin θ]i - l[θ'' sin θ - θ'² cos θ]j
<h3>What is Kinematics of particles?</h3>
Kinematics is the study of the geometry of motion of particles, rigid bodies, etc., disregarding the forces associated with these motions. However, Kinematics of a particle is the motion of a point in space.
From the sample problem, we can solve it using the (x, y, z) coordinate system to get;
r_c = x(t) i
r_d = [x(t) + l sin θ]i + l cos θ j
Finding the first derivative of r_d gives velocity as;
r'_d = [x'(t) + lθ' cos θ]i - lθ' sin θ j
Taking the second derivative of r_d gives the acceleration as;
r"_d = [x''(t) + lθ'' cos θ - lθ'² sin θ]i - l[θ'' sin θ - θ'² cos θ]j
A sample problem of kinematics of particles is;
A block C slides along the horizontal rod, while a pendulum attached to the block can swing in the vertical plane. Find the acceleration of
the pendulum mass D.
Read more about Kinematics of Particles at; brainly.com/question/26269548
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The pythagorean theorem is used to calculate the lengths of a right triangle
The hypotenuse of the triangle is 6.5 cm
<h3>How to determine the hypotenuse of the triangle?</h3>
From the complete question, we have the following side lengths
- Opposite = 5.7 cm
- Adjacent = 3.2 cm
The hypotenuse of the triangle is then calculated as:
Hypotenuse^2 = Opposite^2 + Adjacent^2
This gives
Hypotenuse^2 = 3.2^2 + 5.7^2
Evaluate the sum
Hypotenuse^2 = 42.73
Take the square root of both sides
Hypotenuse = 6.5
Hence, the hypotenuse of the triangle is 6.5 cm
Read more about hypotenuse at:
brainly.com/question/654982