The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.
<h3>Word problems</h3>
According to the task content;
- The total distance covered running and cycling per day is; 20miles
- Additionally, she cycles a total of 105 miles each week.
From the statement above; it follows that;
The number of miles she cycles per day since 7 days make a week is;
Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.
On this note, it follows that;
Hence, The solution is 5, which represents the number of miles she runs each day.
Read more on word problems;
brainly.com/question/21405634
Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
Answer: x=6
Step-by-step explanation:
To first find the answer to this, let's find a common denominator between each fraction. The denominator is the bottom number of a fraction.
To find the common denominator, let's factor out each of our denominators 5 times to see if they have a common number.
4: 4, 8, 12, 16, 20
2: 2, 4, 6, 8, 10
They both appear to have the smallest common denominator of 4, so let's use 4.
We already have 1/4 with a denominator of 4, but not 1/2.
2 x 2 = 4, so multiply the numerator and the denominator of 1/2 by 2.
1 x 2 = 2
2 x 2 = 4
Your new fraction is 2/4.
Our expression now is:
-2 1/4 + 5 2/4
or (in simpler terms)
5 2/4 - 2 1/4
Subtract the fractions first.
2/4 - 1/4 = 1/4
Now subtract the whole numbers.
5 - 2 = 3
You are left with:
3 1/4
I hope this helps!