Anja is choosing her extracurricular activities for the year. She can choose one sport to play and one instrument to learn using the list below: Sports: softball, basketball, tennis, or swimming
Instruments: guitar, piano, or clarinet. How many combinations are possible?

The number of possible combinations of sports and instrument that Anja can select is 12.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

It is said that Anja can choose one sport to play and one instrument to learn using the list below:

Sports: softball, basketball, tennis, or swimming

Instruments: guitar, piano, or clarinet.

There 4 options for sports and 3 for an instrument.

Compute the number of ways to select one sport to play as follows:

Compute the number of ways to select one instrument to learn as follows:

Compute the number of possible combinations of sports and instrument that Anja can select as follows:

Total number of possible combinations = n (S) × n (I)

Thus, the number of possible combinations of sports and instrument that Anja can select is 12.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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