Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × 
= 24π × 
= 3π × 5
= 15π
Answer:
(y, -x -6)
Step-by-step explanation:
<em>The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)</em>
<em />
The first transformation: 6 units right

Where b = 6
So, the new coordinates will be

The second transformation: 90° clockwise

So, the new coordinates will be

<em>Hence, the new coordinates of PQRS is (y, -x - 6)</em>
The concentration of solution would be the amount of the molecule divided by the volume. In this case, the solution concentration is 36% and the volume is 4 quarts + 1 quarts= 5 quarts. You are asked the concentration before 1 quarts added. The alcohol content should be same for both solutions. The answer should be:
concentration = alcohol content/ volume
alcohol content =concentration * volume
alcohol content1 =alcohol content2
36% * 5 quarts = concentration2 * 4quarts
concentration2= 36% * 5 quarts / 4 quarts= 45%
Okay so all you have to do is find the Area of each shape, then add them together. Starting with the square. Your formula is A=s4 All you have to do is plug in your number. A=26(4) Now solve. A=104. Now we have to find the area of a semicircle. Your formula is ((3.14)r squared)(.5) To find the radius (r) you divide the diameter by 2, so 26/2=13 Now all you have to do is plug in your numbers. (3.14)(13 squared)(.5) (3.14)(169)(.5)
(530.66)(.5) Your final answer is: 265.33 inches squared
It will take 1000 days to spend 1,000,000 if you spend 1,000 per day.