Answer:
The scale factor for the resultant rectangle is
units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is 
Here, 
Hence, the scale factor for the resultant rectangle is units.
Answer: 460.6 miles South of Chicago
Explanation:
1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and
travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.
Scheme:
→to south ←to north
|----------------------|---------------------|
A x X 930.0 - x B
6:00 am 6:00 am
→ ←
v = 79.0 mi/h v = 81.1 mi/h
=> x = 79.0 mi/h * t
2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The
train travels the 930.0 miles to Chicago at an average speed of 81.1
miles per hour.
930.0 - x = 81.1 mi/h * t
3) How many miles south of chicago do the two trains pass
each other?
Divide the two equations:
930.0 - x 81.1*t
------------- = ----------
x 79*t
t cancels out =>
930.0 - x 81.1
------------- = --------
x 79.0
Solve:
81.1x = 79.0(930.0 - x)
81.1x = 79.0 * 930.0 - 79.0x
81.1x + 79.0x = 73,470
=> 160.1x = 73,470
=> x = 73,470 / 160.1
=> x = 460.6 mi
4) Answer 460.6 miles South of Chicago.
</span>
Answer: Four eighth notes
Sixteenth Notes
Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
90 + 20x + 10x = 180
30x = 90
x = 3
