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1 year ago

12.) tan L

Mathematics

1 answer:

pogonyaev1 year ago

5 0

Answer: $\frac{\sqrt{6}}{2}$

Step-by-step explanation:

By the Pythagorean theorem,

$2^2 + (MN)^2 = (\sqrt{10})^2\\\\4+(MN)^2 = 10\\\\(MN)^2 = 6\\\\MN=\sqrt{6}\\\\\implies \tan L=\frac{\sqrt{6}}{2}$

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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket

-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

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(2) 2r + 3l = 96

Solve equation (1) for l

l = 45 – r Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96 Remove parentheses

2r + 135 - 3r = 96 Combine like terms

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-r = -39 Multiply each side by -1

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===============

Check:

(1) 39 + 6 = 45

45 = 45

(2) 2×39 + 3×6 = 96

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