Answer:
Kate.
Step-by-step explanation:
V=BH
The base is 25 square feet because 5*5=25. The height is x feet. The volume is 62.5 cube feet.
62.5=25*x
2.5=x
X should equal 2.5 feet.
Answer:
Explanation:
The time to cross the finish line may be found using the speed vs. time equation:
From which you can solve for time:
Using the last equation, you can find the difference in the times for Malcolm and Joshua, but, since the speed must be expressed in miles per minutes, and the given data are minutes per mile, first you must convert the data.
Miles per minute is the inverse of minutes per mile, so the corresponding speeds are:
- Malcolm's speed: 1 / (6 min/mile) = (1/6) miles/min
- Joshua's speed: 1 / (8 min/mile) = (1/8) miles/min
- Time for Malcom: 10 miles / [ 1/ (6 miles/min) ] = 10/(1/6) min = 60 min
- Time for Joshua: 10 miles / [ 1/ ( 8 miles/min) ] = 10/(1/8) min = 80 min
- Difference in times: 80 min - 60 min = 20 min
Hence, Joshua will cross the finish line 20 minutes after Malcolm crosses the finish line.
Answer:
The answer is: -190
Step-by-step explanation:
First, you need to input the -3 into the h(x) equation as follows:
h(-3) = 10(-3) - 15, then solve.
h(-3) = -30 - 15
h(-3) = -45.
Then you do the same for g(-5).
So, g(-5) = 30(-5) + 5
g(-5) = -150 + 5
g(-5) = -145.
Now you add the -45 and -145.
h(-3) + g(-5) = -45 - 145
h(-3) + g(-5) = -190.
An Isometry does not describe a dilation. To dilate an image would be to change the size of an image, specifically by a certain amount, which is called the scale factor.
An expansion and retraction both change the size of the image, meaning that they do apply to dilation. An image is always expanded or retracted by a scale factor.
For example, if I were to double the size of an image, I would be dilating it by a scale factor of 2. If I were to retract an image to half of it's original size, I would be dilating the image by a scale factor of 1/2.
An Isometry is defined by a <span>transformation that is invariant with respect to distance. This only means that the size and shape of the image will not change. Examples of isometries are translations, reflections, and rotations.
Therefore, with the given information, the answer must be Isometry.</span>
