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Alika [10]
3 years ago
5

A tennis court is 78 feet long and 36 feet wide. If a player hits the ball diagonally from one corner to the diagonal corner on

the opposite side, how many feet has it crossed on the court? (Round your answer to the nearest whole number)
Mathematics
1 answer:
12345 [234]3 years ago
8 0
The line cutting the rectangle diagonally gives you two identical triangles and the dividing line is the hypotenuse.

So we apply the Pythagorean formula:
a^2+b^2 = c^2
36^2+78^2 = c^2
1296+6084 = 7380 take the square root: sqrt7380 = 85.9


Answer 85.9 feet = round to 86
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The LCM (least common denominator) of 3, 4, 6 and 8 is...
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Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

8 0
3 years ago
Read 2 more answers
Question is in image please help<br> I will give Brainliest :)
lara31 [8.8K]

Answer:

D;the last answer

Step-by-step explanation:

The more negative a fraction or decimal, the lower that actual value.

Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^

8 0
2 years ago
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8 0
3 years ago
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Raina, Trey, and Ali have a total of $145 in their wallets. Trey has 4 times what Ali has. Raina has $7 more than Ali. How much
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Answer:

Step-by-step explanation:

If ali has 23 so Raina has 7 more than Ali = 23 + 7 = 30

And trey has 4 times as much as Ali = 23 x 4 = 92

Total = 92 + 23 + 30 = 145

6 0
3 years ago
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