Fifth roots of 243 cos 2π 3 + i sin 2π 3 (a) use the formula zk = n r cos θ + 2πk n + i sin θ + 2πk n to find the indicated roots of the complex number. (enter your answers in trigonometric form. let 0 ≤ θ < 2π.)

The sixth grade art students are making a mosaic using tiles in the shape of right triangles.each tile has leg measures of 3 centimeters and 5 centimeters.i f there are 200 tiles in the mosaic what is the area of the mosaic.

What is the frequency of the sinusoidal graph?

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?