Week 3.3 Bell Work

An angle with measure $$\phi$$ is shown in the standard (x, y) coordinate plane. The angle with the measure $$\phi$$ has the positive x-axis as one side and has the portion of the line y = x shown on the other side. What is the value of $$\sin\phi$$ ?

When $$x\ne5\ or\ -5$$ , $$\frac{2x}{x^2-25}+\frac{2x}{5-x}$$ is equivalent to:

Tamas is 35 feet away from the base of a vertical flagpole on level ground. He sees he top of the flagpole at an angle of $$40\degree$$ . About how many feet higher than Tamas's eye level s the top of the flagpole?

Points A(-3, 0), B(0, 3), and C(3, 0) lie in the standard (x, y) coordinate plane. If ABCD is a square, then what is the length , in coordinate units, of $$\overline{CD}$$ ?

As shown in the figure, a silo consists of a right circular cylinder with a hemisphere on top. The radius of the cylinder and of the hemisphere is 10 feet, and the height of the cylinder is 25 feet. Which of the following is closest to the volume, in cubic feet, of the silo?

Note: The volume of a right circular cylinder is given by $$\pi r^2h$$ . The volume of a hemisphere is given by $$\frac{2}{3}\pi r^2$$ .

What is the perimeter, in centimeters, of a rectangle with length 10cm and width 5cm?

The data set contains 5 elements and has a mean of 6. Four of the elements are 1, 3, 7, and 8. Which of the following is the fifth element?

Mark was responsible for buying yo-yos and tops to use as prizes for the school carnival. His receipt showed that he spent a total of $32.20 and that he bought 60 items. Yo-yos cost $0.65 each, and tops cost $0.25 each. How many yo-yos did Mark buy to use as prizes for the school carnival if no tax was charged because they were bought for a school?

The operation @ is defined as follows: $$a\ @\ b\ =\ \frac{a^2+b^2}{a-b}$$ where a and b are real numbers and are not equal. What is the value of (-2) @ (-6)?

The senior class at Figg High School is sponsoring a fund-raiser to raise $1250 for a graduation celebration. They can choose 1 of the 2 fund-raising options. After paying a start-up fee of $25, the senior class can sell photo prints at prom. The film and flash for the camera coat $1 per print and they can sell the print for $3. What is the least number of prints that must be sold to cover the star-up costs?