Step-by-step explanation: Given that Rossi is planning a date with his girlfriend to watch a movie, go out to dinner, and then attend a sporting event. He is deciding between 5 movies, 8 restaurants, and 2 sporting events. We are to find the number of different dates he can plan.

The total number of different dates will be the product of the number of movies, Number of restaurants and number of sporting events.

Therefore, the number of different dates is

$n=5\times8\times 2=80.$ .

Thus, the answer is 80.

7 0

3 years ago

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Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees. In circle Y, what

Yuliya22 [10]

Answer:

m∠SZT = 86°

Step-by-step explanation:

First we draw the diagram from the given information. Find attached the diagram.

when two chords intersect inside a circle, the measure of the angle formed is 1/2(the sum of the measure of the arcs intercepted each other).

From the above,

m∠SZT = 1/2 (Arc SR + arc TU)

Arc SR =100 degrees

Arc TU =72 degrees

m∠SZT = 1/2 (100° + 72°)

m∠SZT = 1/2 (172°)

m∠SZT = 86°

6 0

3 years ago