Steve is 1.2 times faster than Paul.
<h3>
What is a ratio?</h3>
The quantitative relationship between two values indicating how frequently one value is contained within the other.
For example: Speed = Distance / Time
Total distance covered by both Steve and Paul = 100m
Total time taken by Steve = 10s
Steve's speed = 100 / 10 = 10m/s
Total time taken by Paul = 12s
Paul's speed = 100 / 12 = 8.33m/s
Ratio of Steve's speed to Paul's speed = 10 / 8.33 = 1.2
Hence we can say that Steve is 1.2 times faster than Paul.
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Answer:
Step-by-step explanation:
On Monday Ravi drives for 4 hours.
His average speed is 30 mph.
How far does Ravi drive on Monday?
Answer:
3.B
4.D
5.B
6.B
Step-by-step explanation:
You have not provided a diagram, therefore, I cannot provide you with the exact solution.
However, I will try to help you with the procedures on how to get the area of trapezoid and you can apply on the diagram you have.
Now, area of trapezoid can be calculated using the following rule:
area of trapezoid =
where:
b1 is the length of the first base
b2 is the length of the second base
h is the height of the trapezoid
The bases are the two parallel sides in the trapezoid
To better illustrate this, consider the attached diagram.
We have:
b1 = 5 m
b2 = 8 m
h is the perpendicular height = 4 m
Area =
= 26 m²
Hope this helps :)
Answer:
The image of the point is (-27, 6)
Step-by-step explanation:
<em>Let us talk about the dilation</em>
- Dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
- The scale factor of dilation measures how much larger or smaller the image will be. If the scale factor greater than 1, then the image will be larger. If the scale factor between 0 and 1, then the image will be smaller
- If the point (x, y) is dilated by scale factor k and the center of dilation is the origin, then its image will be (kx, ky)
∵ Point (-9, 2) is dilated by a scale factor 3
∴ k = 3
∵ The center of dilation is the origin
→ Multiply the coordinates of the point by 3 to find the image
∴ The image = (3 × -9, 3 × 2)
∴ The image = (-27, 6)
The image of the point is (-27, 6)