Answer:
A
Step-by-step explanation:
Point R is (1, 5).
The transformation (<em>x</em> + 1, <em>y </em>- 1) denotes a translation of one unit to the right and one unit downwards.
Simply add one to the <em>x-</em>coordinate and subtract one to the <em>y-</em>coordinate of R. Hence:
Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:
Our answer is A.
Answer:
<u>10 + 3π cm</u>
Step-by-step explanation:
In the given figure,
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,
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:
here............. you go...
