4 times the quantity of a number decreased by one is the same as two more than the same number. Find the number

1 answer:

5 0

The hard part is just making sense of what they are asking for.

4 times the quantity of a number decreased by one is just the expression:

4 * (x-1)

Where "x" is our mystery number.

Two more than the same number is just:

x + 2

Where "x" is our same mystery number.

They say that these two expressions are the same, so just set them equal to each other.

4*(x-1) = x+2

4x - 4 = x +2

3x -4 = 2

3x = 6

x = 2

The mystery number is 2. Plug in 2 and you will see that it works!

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Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit

mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

<u>Height of the kite: </u>

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$