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Triangle ABC has the given measures. Solve the triangle(s), if any exist. A = 162Â°, a = 6.1, b = 4How many triangle(s) can possibly be formed?
General
7 months ago
The mathcounts sprint round competition consists of 30 problems with a time limit of 40 minutes. suppose you complete 20 sprint round problems in 25 minutes. on average, how many times as long will you be able to spend on each remaining problem than you did on each of the first 20? express your answer as a common fraction.
General
7 months ago
427 children visit a castle.They go in groups of 15.One group has less than 15.Every group has one adult with them. How many adults will need to go.
General
7 months ago
The two polygons above are similar. The scale factor of the smaller polygon to the larger polygon is 3. The area of the smaller polygon is 12 sq. units. What is the area of the larger polygon?
General
7 months ago
simplify : 7 root 3 / root 10 + root 3 - 2 root 5 / root 6 + root 5 - 3 root 2 / root 15 + 3 root 2
General
7 months ago
A survey of 180 college men was taken to determine participation in various campus activities. 43 were in fraternities, 52 participated in campus sports, 35 participated in various campus tutorial programs. 13 participated in fraternities and sports, 14 in sports and tutorial programs,12 in fraternities and tutorial programs 5 participated in all 3 activities. 1. How many participated in only campus sports? 2. How many participated in fraternities and sports but not in tutorial programs? 3. How many participated in fraternities or sports but not in tutorial programs? 4. How many participated in exactly one of these activities? 5. How many participated in exactly 2 of these activities? 6.How many did not participate in any of these 3 activities?
General
7 months ago
Can a quadrilateral with four equal sides have less than four lines of symmetry?
General
7 months ago
At the end of spring break, lucy left the beach and drove back towards home, driving at a rate of 40 mph. lucy's friend left the beach for home 30 minutes (half an hour) later, and drove 50 mph. how long, in hours, did it take lucy's friend to catch up to lucy?
General
7 months ago
A fence must be built to enclose a rectangular area of 45 comma 000 ftsquared. fencing material costs $ 1 per foot for the two sides facing north and south and $2 per foot for the other two sides. find the cost of the least expensive fence.
General
7 months ago
What is the perimeter and area of the new shape?? Original square has side=9cm
General
7 months ago
Allen, brittney and charla are the finalists in a reality tv show. the probability that brittney will win is 0.38, and the probability that charla will win is 0.35. what is the probability that allen will win?
General
7 months ago
Ashley is 15 years younger than jessica. if the sum of their ages is 71, how old are they
General
7 months ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated and the ship is found to lie on a hyperbolic path described by y2 - 2x2 = 7. if it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location.
General
7 months ago
Assume that a set of test scores in an introduction to finance class is normally distributed with a mean of 72 and a standard deviation of 8. use the 68-95-99.7 rule to find the percentage of scores greater than 88.
General
7 months ago
Assume the random variable x is normally distributed with mean mu equals 50μ=50 and standard deviation sigma equals 7σ=7. find the indicated probability. upper p left parenthesis x greater than 34 right parenthesisp(x>34)
General
7 months ago
Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in, and a standard deviation given by sigma equals 2.6 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 63 in. (b) if 44 women are randomly selected, find the probability that they have a mean height less than 63 in.
General
7 months ago
If you add natalie's age and fred's age, the result is 39. if you add fred's age to 3 times natalie's age, the result is 65. write and solve a system of equations to find how old fred and natalie are.
General
7 months ago
Chisaka has less than 145kg of food remaining in her spaceship. She needs a constant amount of food each day that she spacewalks, and a constant amount of food each day that she doesn't spacewalk. Let S represents the number of days Chisaka spacewalks and N represents the number of days she doesn't spacewalk without running out of food. 2.2S+1.3N < 145 According to the inequality, how much food does Chisaka need for each day that she does and doesn't spacewalk?
General
7 months ago
A juggler tosses a ring into the air. The height of the ring in feet above the juggler’s hands can be modeled by the function f (x) = -16 x 2 + 16x, where x is the time in seconds after the ring is tossed. Find the ring’s maximum height above the juggler’s hands and the time it takes the ring to reach this height. Then find how long the ring is in the air.
General
7 months ago
If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is i? compute for all values of i between 2 and 12.
General
7 months ago
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