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Rom4ik [11]
2 years ago
7

Please explain your answer!

Mathematics
1 answer:
zzz [600]2 years ago
7 0

Answer:

Step-by-step explanation:

tan x = ( sin x ) / ( cos x )

tan²x + 1 = sec²x

sec x = ± √(tan²x + 1)

sec x = 1 / cos x

~~~~~~~~~~~~

tan x = 4 and sin x < 0

cos x - ?

<u><em>If tan x > 0 and sin x < 0 ⇒ cos x < 0</em></u>

sec²x = 16 + 1 = 17 ⇒ cos²x = \frac{1}{17}

cos x = - \frac{\sqrt{17} }{17}

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HACTEHA [7]
The answer is <span>The liquid must be in the cooler fewer than 10 minutes.
</span>
Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
The function is:
f(m) = a - 3 * m     (Since the temperature decreases by 3°F each minute m, it has a negative sign)
Let:
m - <span>the number of minutes the liquid is in the cooler.
a - the starting temperature
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<span>The temperature of a liquid must stay above 60°F:
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3 years ago
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Rudik [331]

Answer:

 t = 204    

Step-by-step explanation:

Let t = initial number of trees

 

"remove 5 trees at the start of the season"  means

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"each remaining tree made 210 oranges for a total of 41,790 oranges"    means

        ( t   - 5)           *        210                  = 41790

 

Now, you can solve for t:

       (t-5)(210) = 41790                     [just re-writing]

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       210t = 42840                            [add 1050 to each side]

         t = 204                                  [divide each side by 210]

 

There were initially 204 trees.  After 5 were removed, the remaining 199 produced 210 oranges each for a total of 199*210 = 41790 oranges.

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Answer:

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