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3 years ago

50 pointssssssss Simplify the following. Please leave it in exponential form.3^8 × 1/3^1

Mathematics

2 answers:

nikitadnepr [17]3 years ago

7 0

Answer:

2187

Step-by-step explanation:

skelet666 [1.2K]3 years ago

5 0

Answer:

3^7

Step-by-step explanation:

We know that $3^8=3\cdot3^7$ and since it's multiplied by $\frac{1}{3}$ which is the same thing as $\frac{1}{3}^1$ we know that $3\cdot\frac{1}{3}\cdot3^7=3^7$ .

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3 years ago

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The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th

Katen [24]

Answer:

The height of the lighthouse is $742.5\ ft$

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

$tan(68\°)=\frac{h}{300}$

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7 0

3 years ago

What is the measure of ∠S ?

jeka94

Alright, lets get started.

We could use sine law to find the remaining angle.

$\frac{sinA}{a} = \frac{sinB}{b}$

$\frac{sinS}{63.6} = \frac{sin64}{69.8}$

Plugging the value of sin 64

$\frac{sinS}{63.6} = \frac{0.8987}{69.8}$

$\frac{sinS}{63.6} = 0.01287$

Cross multiplying

sin S = 0.8189

Taking inverse on both side

$S = sin^{-1}(0.8189)$

S = 55° : Answer

Hope it will help :)

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3 years ago

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