Provide an appropriate response.Triangle ABC has sides that measure the following: AB = 25 feet, BC = 30 feet and AC = 15 feet. Find the measure of angle A to the nearest tenth of a degree.
Fill in the blank(s) with the appropriate word(s).
93.8
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Multiply. Simplify and leave the numerator and denominator in your answer in factored form.
? 
A. 
B. 
C. 
D. 
Determine the optimal strategies for R and for C for the game whose payoff matrix is given. 
A. 
; 
B. 
; 
Find the probability to the nearest hundredth that the random variable of the probability density function has a value greater than the mean.f(x) = 
; [0, 5]
A. 0.50 B. 0.53 C. 0.45 D. 0.49
In a laboratory experiment, two separate foods are given to experimental animals. Each food contains essential ingredients, A and B, for which the animals have a minimum requirement, and each food also has an ingredient C, which can be harmful to the animals. The table below summarizes this information. ? Food 1 Food 2 Required Ingredient A 10 units/g 3 units/g 33 units Ingredient B 6 units/g 15 units/g 33 units Ingredient C 5 units/g 1 unit/g ? Determine how many grams of foods 1 and 2 should be given in order to satisfy the requirements for A and B while minimizing the amount of ingredient C ingested. Also determine the minimum amount of ingredient C ingested. Round your answer to one decimal place if necessary. ?
A. 11 grams of food 1 and 0 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 11 grams. B. ?0 gram0 of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 11 grams. C. ?12 grams of food 1 and 0 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 60 grams. D. ?1 gram0 of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 16 grams. E. ?2 grams of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 21 grams.