Since the angle is connected to the center of the circle, that makes it a central angle. The 30° angle is the same as arc AYB. so AYB is 30°
<h3><em><u>given</u></em><em><u>:</u></em></h3>
<em><u>34.48</u></em>
<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>
<em><u>34.48</u></em><em><u> </u></em><em><u>rounded</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>nearest</u></em><em><u> </u></em><em><u>whole</u></em><em><u> </u></em><em><u>number</u></em><em><u>.</u></em>
<h3><em><u>solution</u></em><em><u>:</u></em></h3>
<em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>4</u></em>
<em><u>(</u></em><em><u> </u></em><em><u>if</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>first digit after the decimal point</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>or</u></em><em><u> </u></em><em><u>more</u></em><em><u> </u></em><em><u>we'll</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>round</u></em><em><u> </u></em><em><u>off</u></em><em><u>,</u></em><em><u> </u></em><em><u>if</u></em><em><u> </u></em><em><u>not</u></em><em><u> </u></em><em><u>just</u></em><em><u> </u></em><em><u>keep</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>as</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>is</u></em><em><u>.</u></em><em><u> </u></em><em><u>)</u></em>
Answer:
71 and 72
Step-by-step explanation:
a+b=8
cd id divisible by 8.
ab=17,26,35,44,53,62,71
The only number above with a consecutive number of 8 is 71. (71 and 72)
Answer:
3x+24 more widgets
Step-by-step explanation:
A company owns two manufacturing plants:
- 1st plant: 8x+17 widgets;
- 2nd plant: 5x-7 widgets.
To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,
![(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24](https://tex.z-dn.net/?f=%288x%2B17%29-%285x-7%29%5C%5C%20%5C%5C%3D8x%2B17-5x%2B7%5C%20%5B%5Ctext%7BEliminate%20brackets%7D%5D%5C%5C%20%5C%5C%3D%288x-5x%29%2B%2817%2B7%29%5C%20%5B%5Ctext%7BCombine%20the%20like%20terms%7D%5D%5C%5C%20%5C%5C%3D3x%2B24)
