Questions in mathematics

Questions in mathematics

[Done] If \( t \) is any real number, prove that [tex]1 + (\tan t)^2 = (\sec t)^2[/tex].

[Done] If \( r \) and \( s \) can be any integers such that \( s > 10 \) and \( 2r + s = 15 \), which of the following is the solution set for \( r \)?

[Done] When buying a new car, you have a choice of 4 different models, 3 different colors, and either compact or family size. How many choices are there for one car? A. 5 B. 12 C. 16 D. 24 There are 20 entries in the chess tournament. How many ways can they finish in first, second, and third place? A. 340 B. 6,840 C. 7,220 D. 8,350

[Done] A tree casts a shadow that is 20 ft long. The angle of elevation of the sun is 29°. How tall is the tree?

[Done] Which is the best estimate for the weight of a stapler? A. 4 ounces B. 4 pounds C. 4 inches D. 4 feet

[Done] A retailer buys a radio from the wholesaler for $75.00. He then marks up the price by 1/3 and sells it at a discount of 20%. What was his profit on the radio (to the nearest cent)?

[Done] What is \(4 \frac{1}{6}\) minus \(2 \frac{5}{6}\)?

[Done] Admission to the county fair is $5, and it costs an additional $0.50 for each ride ticket. What inequality represents this problem?

[Done] How do you factor: \( b^2 - 6b + 8 \)?

[Done] Shannon had three times as many quarters as nickels. She had $2.40 in all. How many quarters did she have?