Establish the identity.sin(x + y) - sin(x - y) = 2 cos x sin y
What will be an ideal response?
sin (x + y) - sin (x - y) = sin x cos y + cos x sin y - sin x cos y + cos x sin y = 2 cos x sin y.
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Solve the problem.Find the value for x in the rectangular prism. Use exact values. 
7 in.
A. 3
in.
B. 
in.
C. 2
in.
D. 310 in.
The length of each edge of a cube is 17 cm, with a possible error in measurement of 0.02 cm. Use differentials to estimate the error that might occur when the volume of the cube is calculated. ?
A. An error is approximately ±16.68 cm3. B. An error is approximately ±17.34 cm3. C. An error is approximately ±16.95 cm3. D. An error is approximately ±17.65 cm3.
Find the amount or rate of discount and the sale price after the discount. Round money answers to the nearest cent if necessary.Original price: $570 Rate of discount: 30%
A. $85.50, $484.50 B. $176.70, $393.30 C. $165.30, $404.70 D. $171.00, $399.00
Solve the problem.The following graph shows types of paint sold at a local hardware store and the percent of sales for each type of paint.
What portion of paint sales were primer? Write the answer as a percent and as a decimal.
A. 5%, 0.05 B. 25%, 0.25 C. 50%, 0.5 D. 20%, 0.2