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2 years ago

The sum of 5 times a number and 8 is equal to 9

Mathematics

1 answer:

Irina-Kira [14]2 years ago

4 0

Answer:

The unknown number is $\frac{1}{5}$

Step-by-step explanation:

Let's make the unknown number x.

The sum of 5 TIMES a number (x) & 8 is 9.

Let's write it mathematically.

5x + 8 =9

We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.

5x=1

5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.

x= $\frac{1}{5}$

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3 years ago

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lesantik [10]

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3 years ago

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kramer

Answer:

about 2949 feet

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...

Tan = Opposite/Adjacent

<h3>setup</h3>

Filling in the known values, we have ...

tan(6°) = (310 ft)/(distance to coyote)

<h3>solution</h3>

Multiplying by (distance to coyote)/tan(6°) gives ...

distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft

distance to coyote ≈ 2949.453 ft

The coyote is about 2949 feet from the base of the cliff.

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