Find the angles A and ACB, and length CD in the roof shown in the illustration below, where AC = BC.Do not use rounded answers in your calculations. Round angles to the nearest tenth, and round side lengths to three significant digits.
?A = __________°, ?ACB = __________
CD = __________ ft
What will be an ideal response?
41.4; 97.2; 5.29
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Measurements are made at two different times. Find the absolute change and then find the percentage change. Round answers to the nearest tenth if necessary.The value of Anna's house increased from $250,000 when she bought it 20 years ago to $1.31 million today.
A. Absolute change: $1,060,000 Percentage change: 80.9% B. Absolute change: $1,060,000 Percentage change: 42.4% C. Absolute change: $1,060,000 Percentage change: 424% D. Absolute change: $-1,060,000 Percentage change: 424%
Write the equation for the plane.The plane through the point P(-4, 6, 6) and normal to n = 
.
A. -4x + 6y + 6z = 64 B. -5x - 7y - 7z = 64 C. 4x - 6y - 6z = 64 D. 5x + 7y + 7z = 64
Solve the triangle, if possible. Approximate values to the nearest tenth when appropriate.? = 35°30', a = 18.76, c = 16.15
A. ?1 = 42°25', ?1 = 102°5', b1 = 27.2 ?2 = 137°35', ?2 = 6°55', b2 = 3.3 B. ? = 42°25', ? = 102°5', b = 25.2 C. ?1 = 102°5', ?1 = 42°25', b1 = 17.5 ?2 = 6°55', ?2 = 137°35', b2 = 26.2 D. No solution
Find the values of the variables for which the statement is true, if possible.
= 
A. m = 1; x = 8; n = -8; y = -3; p = 3 B. m = -8; x = 2; n = 1; y = -3; p = 3 C. m = -8; x = 8; n = 1; y = -3; p = 3 D. m = -8; x = 2; n = 8; y = -3; p = 3