Solve 3tan(2x+15°)=4 for 0°≤x≤180°

1 answer:

5 0

$\displaystyle \\ 
3\tan(2x+15^o)=4 ~~~ \text{ for }~~~ 0^o \leq x \leq 180^o \\ \\ 
\tan(2x+15^o)= \frac{4}{3} \\ \\ 
(2x+15^o) = \arctan\Big(\frac{4}{3}\Big) = 53,13010^o ~\approx ~53^o \\ \\ 
2x+15^o = 53^o \\ 
2x = 53^o - 15^o \\ 
2x = 38^o \\ \\ 
x = \frac{38^o}{2} \\ \\ 
\boxed{x = 19^o}$

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Milton makes a trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 ounces of raisins, 12 ounces of walnuts, and

Veronika [31]

Answer:

7 ounces of trail mix each hiker receive.

Step-by-step explanation:

Given:

Milton makes a trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 ounces of raisins, 12 ounces of walnuts, and 10 ounces of chocolate chips.

If Milton divides the trail mix equally among the 8 hikers in the group.

Now, to find the ounces of trail mix each hiker receive.

Pound of peanuts = $1\frac{1}{4}.$