Answer:
t(d) = 0.01cos(5π(d-0.3)/3)
Step-by-step explanation:
Since we are given the location of a maximum, it is convenient to use a cosine function to model the torque. The horizontal offset of the function will be 0.3 m, and the horizontal scaling will be such that one period is 1.2 m. The amplitude is given as 0.01 Nm.
The general form is ...
torque = amplitude × cos(2π(d -horizontal offset)/(horizontal scale factor))
We note that 2π/1.2 = 5π/3. Filling in the given values, we have ...
t(d) = 0.01·cos(5(d -0.3)/3)
Power
= Work done / Time
= 15000 N * 3 m / 50 s
= 45000/50 N-m/s
= 900 W
It may sound like an extremely low value, but 3.0 / 50 s is also a very slow speed.
44 x 9 = $396.00
It's really that easy to find the answer. Hope you have a nice day!
Answer:
-5
Step-by-step explanation:
6c + 14 = -5c + 4 + 9c
6c + 14 = 4c + 4
- 4. - 4
--------------------------
6c + 10 = 4c
- 6c - 6c
-----------------------
10 = -2c
--------------
-2. -2
C = -5
Answer: Y and Y'' are congruent after the translation, but not after the dilation.
Step-by-step explanation:
We know that we generally prefer rigid transformations if want to create congruent images.
There are three basic kinds of rigid transformations:
1) rotation 2) reflection 3) translation
So, they all create congruent images.
But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.
Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.
Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."