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kherson [118]
4 years ago
10

The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place finishers in a particular race in t

heir proper order. if there are eleven entries in the trifecta​ race, how many tickets must you purchase to guarantee a​ win?
Mathematics
1 answer:
MAVERICK [17]4 years ago
6 0
Since you have 11 entries, you have 11 possible winners.
For each winner, you have 10 possible second-place finishers.
For each pair first-second place, you have 9 possible 3rd place finishers.

The possibilities are 11×10×9 = 990
Therefore, you have to buy 990 tickets.
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Find the surface area of composite figure. Please help
Ivan

Answer:

The surface area of the composite figure is 410\ m^{2}

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the rectangular prism of the bottom plus the lateral area o the rectangular prism of the top

so

Step 1

Find the surface area of the rectangular prism of the bottom

The surface area is equal to

SA=2B+Ph

Find the area of the base B

B=10*10=100\ m^{2}

P=4*10=40\ m

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substitute

SA=2(100)+40(3)=320\ m^{2}

Step 2

Find the lateral area of the rectangular prism of the top

The lateral area is equal to

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P=2*(4+5)=18\ m

h=5\ m

substitute

LA=18(5)=90\ m^{2}

Step 3

Find the surface area of the composite figure

320\ m^{2}+90\ m^{2}=410\ m^{2}

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