What is the 68th term of sequence -8.6,-7.2,-5.8,-4.4,

1 answer:

4 0

Its an arithmetic sequence with common difference 1.4
general term<span> is given by an = a1 + ( n − 1 ) d
</span>n=68
<span>an = -8.6 + ( 68 − 1 ) 1.4
</span>an = 85.2

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The circulation of a newsletter decreased from 5300 to 3630. Find the percent of decrease in circulation to the nearest percent.

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3 years ago

PLEASE HELP

irina [24]

Answer:

$12\sqrt{3}$ feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is $1:\sqrt{3} :2$

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

$\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12$

Solving for x, we find that

$x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36 \sqrt{3} }{3} = 12\sqrt{3}$

So the length of the original pole would be $12\sqrt{3}$ feet

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6 0

3 years ago

Given f(x)=5-3x, if f(x)=-19, find x

Dafna1 [17]

X would equal 8

Step-by-step explanation:

5-3(8) = -19

5 multiplied by negative 3 times 8 equals negative 19

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What is the vertical component of a 100 pound force applied at 30° above the horizontal?

lutik1710 [3]

That would be 100 * sin 30 = 100 * 0.5 = 50 pounds

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3 years ago