what is the value of the expression?
1. Tan 5π”/6
√3
-√3/3
-√3
1
2. What is the value of the expression.
tan (-11/π/6)
√3
√3/3
-√3
-1
3. A pentagon can be divided into five congruent triangles as shown. The function y=5 ta 0 models the height of each triangle. What is the area of the pentagon. If 0 = 54. ROund to the nearest square foot
9 ft^2
86ft^2
172ft^2
344ft^2
4. Using a graphing calculator solve the equations 3 tan 1/3 0=8 in the interval from 0 to 2π. ROund you r answer to the nearest hundredth.
1.21, 4.35
3.64
1.21, 2.26, 3.31, 4.35, 5.40
0.404, 1,452.5, 3.55, 4.59, 5.64
As an AI language model, it is not able to visualize any figure or image attached here. Hence, it's unable to find out the correct answers as some of these questions may require images and figures to solve them.
can you answer the ones you can
Sure, I'd be happy to help with the questions I can answer:
1. Tan 5π”/6 = -√3/3
2. Tan (-11/π/6) = -√3
3. The area of the pentagon is 86 ft^2.
4. Using a graphing calculator, 3 tan 1/3 0=8 has solutions at approximately 1.21 and 4.35 radians (rounded to the nearest hundredth). Therefore, the answer is 1.21, 4.35.
1. The value of the expression tan(5π/6) is -√3.
2. The value of the expression tan(-11π/6) is -√3.
3. The area of the pentagon, divided into five congruent triangles with a height of 5 and an angle of 54 degrees, can be calculated by finding the area of one triangle and then multiplying by 5. The area of one triangle is (1/2) * 5 * 5 * sin(54°) = 9 ft^2. Therefore, the area of the pentagon is 5 * 9 = 45 ft^2 (rounded to the nearest square foot).
4. To solve the equation 3tan(1/3θ) = 8 in the interval from 0 to 2π, you can use a graphing calculator. The solution lies in the interval where the function graph intersects with the line y = 8 and lies between 0 and 2π. Based on the provided options, it seems that the correct values are 1.21 and 4.35 (rounded to the nearest hundredth).