So you can set up proportion.
Here, you need to solve for C.
You can do that by multiple both sides by 360 and then you should get
Hope this helps.
If it is area you're looking for, the answer is 7.92 cm^2, or ~7 11/12 cm^2.
Answer: There are 1800 unique names from both the lists.
Explanation:
Since we have given that
there are two lists :
In First list, number of names = 1200
In Second list, number of names = 900
According to question , we have also given that
there are 150 names that appear on both lists,
So,
Number of unique names in the first list is given by
Number of unique names in the second list is given by
Therefore, total number of unique names is given by
Hence, there are 1800 unique names from both the lists.
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Answer:
The distance between Albany and Buffalo along the I90 is 288.8 mi.
The speed of Fabio is 62 mph.
After 1.5 hours, he is 221 miles from Albany.
Things we can calculate here:
Using the relation:
Distance = time*speed.
We can calculate the number of miles that he moved in that 1.5 hours.
D = 62mph*1.5h = 93mi.
If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.
His initial position was:
221 - 93 = 128 miles away from Albany.
Now we also can calculate the time left to arrive at Buffalo.
We know that the distance between Albany and Buffalo is 288.8 mi
And he is 221 mi away from Albany.
Then the distance left to Buffalo is:
288.8mi - 221mi = 67.8mi
And the time left will be:
Distance/speed = time
67.8mi/62mph = 1.1 hours.
He needs to drive for another 1.1 hours to get to Buffalo.
