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prove the identity (cosx+cosy)^2+(sinx-siny)^2= 2+2cos(x+y)If at all possible, please provide a two-columned answer, explaining each step. Thank you :D
General
2 months ago
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting first an odd number and second an even number.
General
2 months ago
Point) a norman window has the shape of a rectangle with a semi circle on top; diameter of the semicircle exactly matches the width of the rectangle. find the dimensions w×hw×h of the norman window whose perimeter is 1000in.1000in. that has maximal area.
General
2 months ago
Jen, carrie, and fran are each thinking of a number. when you add their numbers together you get 207. jen's number is 9 more than carrie's, and fran's number is 3 less than jen's number. what is fran's number?
General
2 months ago
The expression below represents the number of boxes of cookies sold by a girl scouts troop with 14 members at the school fair, where x is the number of days after the first day of the fair.14(22x)+350Interpret the meaning of each term in the expression.The first term indicates that the 14 girl scouts each sold 25 boxes of cookies per additional day of the fair. The second term indicates that the 14 girl scouts each sold 22 boxes of cookies on the first day of the fair.The first term indicates that the 14 girl scouts each sold 22 boxes of cookies per additional day of the fair. The second term indicates that the 14 girl scouts each sold 25 boxes of cookies on the first day of the fair.The first term indicates that the 14 girl scouts each sold 22 boxes of cookies on the first day of the fair. The second term indicates that the 14 girl scouts each sold 25 boxes of cookies per additional day of the fair.The first term indicates that the 14 girl scouts each sold 25 boxes of cookies on the first day of the fair. The second term indicates that the 14 girl scouts each sold 22 boxes of cookies per additional day of the fair.
General
2 months ago
Daniel is enrolling for a test prep class. The expression below represents the hourly charges, including the cost for the materials. $30x + $651. The constant of the expression represents the ___ A. cost of materialsB. Cost per hourC. Number of hours2. and the coefficient of x represents the__ A. Cost per hourB. cost of materialsC. number of hours
General
2 months ago
The automatic opening device of a military cargo parachute has been designed to open when the parachute is 195 m above the ground. suppose opening altitude actually has a normal distribution with mean value 195 and standard deviation 33 m. equipment damage will occur if the parachute opens at an altitude of less than 100 m. what is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes? (round your answer to four decimal places.)
General
2 months ago
The measure of an angle is twenty-nine times the measure of a complementary angle. what is the measure of each angle?
General
2 months ago
The length of a rectangle is 16 centimeters, and the diagonal of the rectangle is 20 centimeters long. what is the perimeter of the rectangle
General
2 months ago
Refer to the accompanying technology display. the probabilities were obtained by entering the values of n equals 5 and p equals 0.774. in a clinical test of a drug, 77.4% of the subjects treated with 10 mg of the drug experienced headaches. in each case, assume that 5 subjects are randomly selected and treated with 10 mg of the drug. find the probability that at least four of the subjects experience headaches. is it unusual to have fewer than four subjects experience headaches?
General
2 months ago
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