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Natalija [7]
2 years ago
6

A(n)=−5+6(n−1) What is the 12th term in the sequence

Mathematics
1 answer:
barxatty [35]2 years ago
4 0

Answer:

n/2[2a+(n-1)d]

12/2[2(-5)+(12-1)6]

66-10=56×6=336

336 is the 12th term

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7

Step-by-step explanation:

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You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di
Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles  triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is <em>x</em>.

Keep on mind that:

tan\alpha=\frac{opposite}{adjacent}

Therefore:

<em>For the triangle ABD</em>:

tan(36\°)=\frac{x}{DC+11}    [EQUATION 1]

<em>For the triangle ACD:</em>

tan(46\°)=\frac{x}{DC}    [EQUATION 2]

Solve from DC from [EQUATION 2]:

DC=\frac{x}{tan(46\°)}

Substitute into [EQUATION 1] and solve for x:

tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x

x=26.81ft≈26.8ft

7 0
3 years ago
If it takes a sloth 10 minutes to climb 7.5 feet what’s its climbing speed in miles per hour
qwelly [4]

Answer:

.009  miles/hour

Step-by-step explanation:

\frac{7.5}{10}\frac{feet}{minutes} * \frac{1}{5280}   \frac{miles}{feet} *\frac{60}{1}\frac{minutes}{hour}

This is the method you should take with unit conversions in general, just set up fractions so the units cancel out, like the 7.5 feet cancels out with the feet in the 1/5280 so miles is left on top.  

7 0
3 years ago
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