Question

Look at the picture below if you have any questions comment

Answer 1

95.522

Explanation:

First, we have to find the area of the triangle...

• We know that the equation for the area of a triangle is:
  `(1)/(2) lw`
• This means that our solution would be:
  `(1)/(2)` ×
  `8` ×
  `6` =
  `24`

Next, we have to find the area of the sector...

• We know that the equation for the area of a circle is: πr²
• This means that our solution would be: π × 10² = 314
• As the sector is only 82° so we have to do: 360 ÷ 82 = 4.39024390244
• So we have to do 314 ÷ 4.39024390244 = 71.5222...(recurring)

Now we have to add our results together...

• 71.5222...(recurring) + 24 = 95.5222...(recurring)
• Rounded to the nearest hundredth: 95.522

Hope this helps, have a lovely day! :)