?A and ?B are the acute angles of a right triangle ?ABC. List as many relationships between the sides, the angles and the sines, cosines and tangents of the angles as possible.
What will be an ideal response?
Answers will vary. Possibilities include:
?A and ?B are complementary.
sin A = BC/AB; sin B = AC/AB; cos A = AC/AB; cos B = BC/AB.
tan A = BC/AC; tan B = AC/BC.
sin A = cos B; cos A = sin B; tan A = (sin A)/(cos A).
sin2 A + cos2 A = 1.
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Determine the values of x for which the function is continuous. If the function is not continuous, determine the reason.f(x) = 
A. Not continuous at -2 ? x ? 0; function not defined B. Not continuous at -2 < x < 0; function not defined C. Not continuous at x > 0, x ? -2; function not defined D. Not continuous at -2 ? x < 0; function not defined
Provide an appropriate response.A machinist is producing the prototype of a person's invention. One part is 6.72 cm long with a tolerance of ±0.005 cm. What is the smallest and largest length the part can be?
What will be an ideal response?
Solve the problem.Jack is currently driving into a headwind (17% decrease). If his normal mileage is 21 mpg, what will his car's mileage be in the headwind? Round your answer to the nearest tenth.
A. 17.4 mpg B. 21 mpg C. 38 mpg D. 7.3 mpg
Write the number in decimal notation.The average mass of a U.S. penny is five and two hundred fifty-nine thousandths grams.
A. 5.0259 g B. 5.259 g C. 5.00259 g D. 5.000259 g