Please help thank you!
1 answer:
You might be interested in
Answer:
- 96
- 6.9
- 25%
- 8%
- 79
- 33.8
Step-by-step explanation:
Here is the complete question: Find each number. Round to the nearest tenth if necessary.
- 80% of 120.
- 115% of 6
- What percent of 128 is 32?
- 3 is what percent of 36?
- 23.7 is 30% of what number?
- 71/2% of what is 12?
1) 80% of 120
=
= 96
∴ 80% of 120= 96
2)
=
∴ = 6.9
3) What percent of 128 is 32?
=
=
4) 3 is what percent of 36?
=
=
5) 23.7 is 30% of what number?
Let the number be "x".
⇒
Cross multiplying
⇒
∴ x= 79.
6) 71/2% of what is 12?
Lets assume the required number be "x".
⇒
cross multiplying both side.
⇒x= 33.8
∴ 71/2% of 33.8 is 12
General Idea:
When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
Applying the concept:
In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)
We know &
Substituting 6 for x in the equation , we get
.
Dividing 6 on both sides
Simplifying fractions on both sides
Point A from the diagram is (-3, 3)
x-coordinate of A' =
y-coordinate of A' =
Point A' is given by (-3.6, 3.6)
Conclusion:
<u>Scale factor of dilation is 1.2</u>
<u>The coordinates of point A' is (-3.6, 3.6)</u>