Prove that sin^2 pi/6 + cos^2 pi/3 - tan^2 pi/4 = - 1/2

Regular quadrilateral prism has an altitude h = 11 cm and base edges b=8 cm. Find the sum of all edges.

Use digits 2, 4, 6, 8, and 10 and any operations or signs to equal 0

Tammy, Jose, and bill sent a total of 107 text messages during the weekend. Bill sent 4 times as many as Tammy. Jose sent 7 fewer messages than Tammy. How many messages did they each send?

A painting, including the frame, measures 75 cm by 93 cm. a) How many centimeters of framing were needed to frame the painting? b) How many millimeters of framing were needed to frame the painting? a) nothing cm were needed to frame the painting.

Find the average speed if an object travels 39 m in 7 seconds.

The time it takes to wash the dishes is uniformly distributed between 5 minutes and 13 minutes. what is the probability that washing the dishes tonight will take me between 8 and 11 minutes?

A pitcher on a baseball team has pitched 98 2/3 innings. What is the number of innings written as a decimal?

The perimeter of a rectangular wooden deck is 90 feet the decks length l is 5 feet less than 4 times it's with, w. Find the length and width of the wooden deck

The original price of a tractor was $55,000. The value decreases in value at a steady rate of 11% per year. What will the tractor be worth in 8 years? A) $21,651.24 B) $65,487.22 C) $45,591.35 D) $12,536.25

Write two verbal expressions for 2