Answer:
160π/3 units² ≈ 167.55 units²
Step-by-step explanation:
The appropriate area formula is ...
A = (1/2)r²θ
Filling in the numbers, you have ...
A = (1/2)(8²)(5π/3) = 160π/3 ≈ 167.55 . . . . square units
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the segments proportionally. This means they satisfy ...
bottom segment / side segment = x/6 = (6-x)/4
Multiplying by 12 gives ...
2x = 3(6 -x)
2x = 18 -3x . . . . . eliminate parentheses
5x = 18 . . . . . . . . add 3x
x = 3.6 . . . . . . . . . divide by 5
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<em>Alternate solution</em>
I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.
The radius is the distance from the center to any point. The distance from (2,1) to (0,1) is of course 2. The general formula for a circle with radius r and center (a,b) is
In our case we get
Answer:
A
Step-by-step explanation:
AA similarity means 2 angles must be similar.
Angle 1: Angle E is the same for both triangles
Angle 2: Angle F and angle G are congruent because they both have right angle markings so they are both 90 degrees.
Answer:
<em>x = 3.</em>
Step-by-step explanation:
1. <u><em>Add 2 + 7, and you get 9.</em></u>
2. <u><em>Now find what 3 multiplied by what equals 9.</em></u>
3. <em><u>3 x 3 = 9.</u></em>
4. <em><u>Therefore, x = 3.</u></em>
5. <em><u>3 x 3 - 2 = 7.</u></em>
