Answer:
6.86 to 2DP.
Step-by-step explanation:
7/12 = 4/DC
Cross multiply:
7DC = 4*12
DC = 48/7
= 6.857.
<span>1,295.01 is the correct answer</span>
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer: 8 feet
Step-by-step explanation:
Ok so first you turn 2 Yards into feet because the answers are all in feet by multiplying by 3/1 so it would look like this 2/1x3/1 which is 6 then you use proportion to get the 6 yards by it self so it would look like this 48/6 6/6 the you would get x= 8 feet to get 8 feet you dividied 48 by 6 hope this helps
Answer: The lorry is traveling 10 mph over the expected speed.
Step-by-step explanation:
If 200 miles takes 4 hours, the speed is 200mi/4hr which is 50 mph.
If the distance is increased by 20%, the distance is 240 miles.
240mi/4hr = 60mph
The difference is 10mph
