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Rus_ich [418]
3 years ago
5

Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got

a final number of 10. What was her starting number?
Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

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Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.
KengaRu [80]

We have the following expression

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})

This is equivalent to

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})

Since

\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi

we have that

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})

Therefore, the answer is the second option from top to bottom.

3 0
1 year ago
Ms. Peters drove from her home to the park
worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

 From home to park, distance  =speed \cdot time =30 \cdot \frac{1}{3} =10 miles

So , distance between home  and park is 10 miles

Now we calculate the time taken to return from park to home

time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

\frac{1}{4} \cdot 60=15

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0
3 years ago
Marsha spends 150 minutes a night doing homework.
kodGreya [7K]

Answer:

70%

Step-by-step explanation:

Maths homework takes 1/6×150mins

=150/6=25 mins

science homework takes 20/100×150

=3000/100

=30mins

Language Arts homework uses 1/3×150

=150/3

=50 mins

percent of time left for Marsha's social studies homework=total time used / original time

=(25+30+50)mins

=105mins/150mins×100%

=0.7×100

=70%

3 0
3 years ago
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.
kotykmax [81]
When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180.  If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90.  This means all of the angles will be 90.
5 0
4 years ago
How many twenty-fourths would five sixths equal
qwelly [4]
n\cdot \frac { 1 }{ 24 } =\frac { 5 }{ 6 } \\ \\ 24\cdot n\cdot \frac { 1 }{ 24 } =\frac { 5 }{ 6 } \cdot 24

\\ \\ n=\frac { 5 }{ 6 } \left( 20+4 \right) \\ \\ n=\frac { 100 }{ 6 } +\frac { 20 }{ 6 } \\ \\ n=\frac { 120 }{ 6 } \\ \\ n=20

The answer you are looking for is 20.
4 0
3 years ago
Read 2 more answers
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