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3 years ago

What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?

Mathematics

1 answer:

svlad2 [7]3 years ago

5 0

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

= 11 -0

=11

Let n=2

a2 = 11-3(2-1)

= 11 -3(1)

= 8

Let n=3

a3 = 11-3(3-1)

= 11 -3(2)

= 11 -6

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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 x.

Keep on mind that:

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

Therefore:

For the triangle ABD:

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

For the triangle ACD:

$tan(46\°)=\frac{x}{DC}$ [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

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3 years ago

What is 7,539 increased by 3200?

Vikki [24]

7539 + 3200 = 10739
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3 years ago

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aleksklad [387]

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alina1380 [7]

Answer:

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Step-by-step explanation:

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3 years ago

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4vir4ik [10]

Answer:

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