Right Triangle Trigonometry Please Help me with this question:)

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

Tangent = opposite side / adjacent

Tangent M = m/p

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Can someone solve this?

Gemiola [76]

Answer:

B : $4x\sqrt{17}$

Step-by-step explanation:

If you divide a rhombus using its diagonals, you get 4 right triangles, whose legs are both 1/2 the length of the diagonals.

This means that the legs of one of those 4 triangles have lengths of 2x/2, and 8x/2, so the legs of one of those triangles x and 4x. This makes the length of one side equal to $\sqrt{x^{2} + (4x)^{2}} = \sqrt{17x^2} = x\sqrt{17}$ . Because all 4 sides are the same length, you multiply this value by 4, and get $4x\sqrt{17}$ , which is B.

4 0

3 years ago

If p = -2 and q = 5, is the value of p/q equivalent to 2/5?

grandymaker [24]

Answer:

No.

Step-by-step explanation:

1. Subsutute p/q with the numbers given, p = -2 and q = 5.

-2 / 5.

2. Divide 2/5 and -2/5 and compare.

2 / 5 = 0.40

-2 / 5 = -0.40

-0.40 < 0.40

If they are not =, then they are <u>NOT</u> equivalent.

Which means, they are Not equivalent.

5 0

3 years ago

Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2

Novosadov [1.4K]

Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Step-by-step explanation:

We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.

Writing in mathematical form:

$\frac{x^2+6x+8}{x+2}$

Solving:

Factorizing the numerator:

$\frac{x^2+6x+8}{x+2}\\=\frac{x^2+4x+2x+8}{x+2}\\=\frac{x(x+4)+2(x+4)}{x+2}\\=\frac{(x+2)(x+4)}{x+2}\\Cancelling\,\,x+2\,\,forom\,\,numerator\,\,and\,\,denominator:\\=x+4$