Answer:
Option A shows the image of RST after the rotation
Step-by-step explanation:
Coordinates of S=(1,3)
Coordinates of R = (-2,1)
Coordinates of T = (-1,7)
We are given that after rotation(x,y)→(y,-x)
So, The new coordinates after rotation will be :
Coordinates of S'=(3,-1)
Coordinates of R'= (1,2)
Coordinates of T'= (7,1)
These are the coordinates of triangle of Option A
So, Option A is true .
Hence Option A shows the image of RST after the rotation
Answer: 32.35 cm^2
Step by step:
Find the area of the rectangle first.
A= L • W
A= 11 • 4.2
A= 46.2 cm^2
Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.
Half of the diameter is 2.1 cm which is the radius.
A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2
Then you would subtract 13.85 from 46.2 to find the shaded portion.
Hope this helps :))
Answer:
148 degrees
Step-by-step explanation:
32*2 = 64;
296/2 = 148 degrees.
The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.
To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

By definition of absolute value,

Over this particular integration interval,
• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and
• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5
so you end up splitting the integral at <em>t</em> = <em>π</em> as

Now compute the distance:



making B the correct answer.
All of the above are true