Answer:
Your answer should be $10.52
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Measure of arcURN = 270°
In radians:
270° = 270π/180
270° = 3π/2
Now
Area of sector = 1/2r²∅
= 1/2(10)²(3π/2)
= 50(3π/2)
= 75π
If its multi choice then its B
<h2>
Explanation:</h2>
Let's use a trial and improvement method to find this solution.
Step 1. Let's choose x = 8.5
Substituting into the equation:
![(8.5)^2+ 3(8.5) - 94=0? \\ \\ 72.25+25.5-94=0? \\ \\ 3.75\neq 0](https://tex.z-dn.net/?f=%288.5%29%5E2%2B%203%288.5%29%20-%2094%3D0%3F%20%5C%5C%20%5C%5C%2072.25%2B25.5-94%3D0%3F%20%5C%5C%20%5C%5C%203.75%5Cneq%200)
Step 2. Let's choose x = 8.4
Substituting into the equation:
![(8.4)^2+ 3(8.4) - 94=0? \\ \\ 70.56+25.2-94=0? \\ \\ 1.76\neq 0](https://tex.z-dn.net/?f=%288.4%29%5E2%2B%203%288.4%29%20-%2094%3D0%3F%20%5C%5C%20%5C%5C%2070.56%2B25.2-94%3D0%3F%20%5C%5C%20%5C%5C%201.76%5Cneq%200)
Step 3. Let's choose x = 8.3
Substituting into the equation:
![(8.3)^2+ 3(8.3) - 94=0? \\ \\ 68.89+24.9-94=0? \\ \\ -0.21\neq 0](https://tex.z-dn.net/?f=%288.3%29%5E2%2B%203%288.3%29%20-%2094%3D0%3F%20%5C%5C%20%5C%5C%2068.89%2B24.9-94%3D0%3F%20%5C%5C%20%5C%5C%20-0.21%5Cneq%200)
Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is: