What is the sequence of 100,99,97,94,90,85,79,72, , , ,

Mathematics

1 answer:

IrinaVladis [17]3 years ago

8 0

- (x + 1)

number - (x + 1), whereas x starts at 0 and decreases every time.

To better explain this:

100 - (0 + 1) = 100 - 1 = 99

99 - (1 + 1) = 99 - 2 = 97

97 - (2 + 1) = 97 - 3 = 94

And so on...

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Please help!! I will make you brainlest.

Strike441 [17]

Answer:

Step-by-step explanation:

These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.

The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1: $\sqrt{2\\}$ , so I have to divide the hypotenuse by $\sqrt{2\\}$ to get the legs. The hypotenuse is 15 $\sqrt{6}$ , so that divided by $\sqrt{2\\}$ is 15 $\sqrt{3\\}$ . X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15 $\sqrt{3\\}$ .

The second triangle is a 30 60 90 degree triangle, so the ratio is x:x $\sqrt{3}$ :2x. The short leg is 7 $\sqrt{3}$ , so 7 $\sqrt{3}$ * 2 is the hypotenuse, which is 14 $\sqrt{3}$ . The long leg is 7 $\sqrt{3}$ * $\sqrt{3}$ , which is 21. So, x for the second triangle is 14 $\sqrt{3}$ , and y for the second triangle is 21.