Answer:

Step-by-step explanation:
So we have the expression:

To simplify, simply combine the like terms. Therefore:

Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

Now, factor out a y from the three terms:

Do all the operations inside the parenthesis:

And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
Answer: 105.84 cm^2
To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.
Now, find the area of the circle. It's pi x r^2, so the area is 352.810.
Multiply this by 30% to find our area of 105.84 cm^2
A) conduction. because you are conducting heat from the coal to your hand
Answer:
Juan
Step-by-step explanation:
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
For Ana
Ana read 15% of her 46-page book.
= 15% × 46 pages
= 6.9 pages
For Hillary
Hillary read 11% of her 72-page book.
= 11% × 72 pages
= 7.92 pages
For Roger
Roger read 12% of his 68-page book.
= 12% × 68 pages
= 8.16 pages
For Juan
Juan read 14% of his 69-page book.
= 14% × 69 pages
= 9.66 pages
The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.
From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.
Six times twelve minus 4 equals forty-eight