Answer:
Unit rate by which the runner completed the marathon is 0.13 miles per minute.
Step-by-step explanation:
A runner competed a marathon of 26.2 miles in 210 minutes.
we can get unit rate by unitary method.
∵ In 210 minutes a runner completes the distance = 26.2 miles
∴ In 1 minute runner will complete the distance = 
= 0.125 miles per minute
≈ 0.13 miles per minute
Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
Answer: 48 minutes
Step-by-step explanation:
Han spent 75 minutes practicing the piano.
Tyler spent only 64% as much as that. How long did Tyler practice:
= 75 * 64%
= 48 minutes
A) 25% of males preferred playing sports.
Explanation) .25 is the same is 25%.
B) 25% of the people surveyed preferred reading a book.
Explanation) You have to add up how many males and females rather
to read a book. It's .10 + .15 = 25%.
C) 70 females were surveyed out of 200 people.
Explanation) Add up .15 + .5 + .15 to get .35. Put .35 multiplied by 200 to get 70.
Answer:
10
Step-by-step explanation:
If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B
lets try plugging in 4 as x to test answer C:
2(8-4)
2(4)= 8
8 is greater than 4, therefore C is wrong.
Lets try 10 as X (answer D):
2(8-10)
2(-2)
-4
We know that -4 is less than 4, therefore it makes the inequality true! :)
