Answer:
A' ( -12 , -12 )
B' ( 6 , -3 )
C' ( 3 , 3 )
Step-by-step explanation:
To find the coordinates of a point after a dilation simply multiply the x and y values of the points by the scale factor
Points: A(-8,-8) B(4,-2) C(2,2)
Scale factor: 1.5
Coordinates after the dilation
A' = (-8,-8) --------> (-8 * 1.5 , -8 * 1.5 ) ------------> (-12 , -12)
B' = (4,-2) ---------> (4 * 1.5 , -2 * 1.5) -----------> (6 , -3 )
C' = (2 , 2) ----------> (2 * 1.5 , 2 * 1.5) -----------> (3, 3)
So inclusion the coordinates of ABC after a dilation centered at the origin with a scale factor of 1.5 are A' ( -12 , -12 ) B' ( 6 , -3 ) C' ( 3 , 3 )
Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2
r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
- = 22/7
⇒ 22 = 2 x (22/7) x r
⇒ r = 3.5
So the radius of the inner circle is 3.5 ft
<u>Radius of outer circle</u>
If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5
<u>Circumference of outer circle</u>
Therefore, circumference of outer circle:
= 2 x (22/7) x 5.5
= 242/7 ft
<u>Difference between circumferences</u>
Difference = outer circle circumference - inner circle circumference
= 242/7 - 22
= 88/7 ft
= 12.6 ft (nearest tenth)
Answer:520; 240
Step-by-step explanation:
a. 13, 26, 39, 52,......
a = First term = 13
d = common difference = 26 - 13 = 13
40th term = a + (n - 1)d = a + (40-1)d = a + 39d
= 13 + (39 × 13)
= 13 + 507
= 520
b. 6, 12, 18, 24,.......
a = First term = 6
d = common difference = 12 - 6 = 6
40th term = a + 39d
= 6 + 39(6)
= 6 + 234.
= 240
Answer:
C) x ÷ 11/12
Step-by-step explanation:
If you divide the total length of string by the length of each piece, you get the number of strings.
total length of string: x
length of each piece: 11/2
We need to divide x by 11/12
Answer: C) x ÷ 11/12
She took 1 1/2 minutes to make 4 cakes. You can multiply 3/4 by 2. You get 6/4 = 1 2/4 = 1 1/2. You can also add 3/4 + 3/4. That is 6/4 = 1 2/4 = 1 1/2.
Hope it helped.
