Answer:
<u>10 + 3π cm</u>
Step-by-step explanation:
In the given figure,
- Radius of arc/circle = 6 cm
- Length + width of rectangle = 8 cm
Here, we are asked to find the perimeter of the shaded figure, i.e, SA + AC + CT + Arc SBT.
The perimeter of arc SBT can be found using the formula 2πr/4 [Given ⟶ arc SBT = quarter (¼) of a circle].
So,
2πr/4
= 2π(6)/4
= 12π/4
= <u>3π cm</u>
Now, from the figure..
SA + AC + CT
= (SR - AR) + AC + (RT - RC)
By, rearranging the terms...
= SR + AC + RT - (AR + RC) ---------> (1)
Again, from the figure, we can see that,
- SR = RT = 6 cm (radii of the same circle)
- AC = RB = 6 cm (radii of the same circle)
- AR + RC = 8 cm (length + width of rectangle)
So, by substituting these values in (1)
SR + AC + RT - (AR + RC)
= 6 + 6 + 6 - (8)
= 18 - 8
= <u>10 cm</u>
And, the perimeter of the shade figure is,
SA + AC + CT + Arc SBT.

_________
Hope it helps!

Answer:

Step-by-step explanation:
the GCF of the numbers is 16, for the variables choose the lower power.
<span>(5,-1)
The key to this problem is ignoring all the information that you don't need. You really don't care about the coordinates for T, U, or V. Just W is all that matters. So make a graph, label the X and Y axis, and put a point at (1,5). Now simply turn the entire paper clockwise 90 degrees. If you do this, you'll see that what was the X axis is now the Y axis. And what was the Y axis is now the X axis. Label the axis again, and read the location of the point you marked. If you do so, you'll see that you have to go 5 spaces along the X axis, hence the 5. And you'll go 1 space down on the Y axis, hence the -1.
So the coordinates of W(1,5) rotated 90 degrees clockwise around (0,0) changes to (5,-1).</span>
Answer: 8r+5t
Step-by-step explanation:
8t + 6r - 3t + 2r
8t-3t= 5t
6r+2r=8r
= 8r+5t