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3 years ago

Solve for a. Please help!

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

Answer:

a = 7

Step-by-step explanation:

This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.

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Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.

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Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

$A=a^2$

Where, a is the side length of the square.

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Area of the square is 100 square units. So, the side length is:

$a=\sqrt{100}$

$a=10$

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

$a=\sqrt{95}$

It is not exact. We know that $\sqrt{81}$ .

Therefore, the side length is between 9 and 10.

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$a=\sqrt{36}$

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Therefore, the side length is 6 units.

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$a=\sqrt{30}$

It is not exact. We know that $\sqrt{25}$ .

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3 years ago

Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?

lidiya [134]

Answer:

Option 1 is correct.

Step-by-step explanation:

Given the equation $(x + 5)^2 + 4(x + 5) + 12 = 0$

we have to choose the best statement describes the above equation.

$(x + 5)^2 + 4(x + 5) + 12 = 0$ → (1)

As, the highest degree of its monomials i.e individual terms with non-zero coefficients is 2.

⇒ Degree of above equation is 2.

hence, the given equation is quadratic equation.

The general form of quadratic equation is

$ax^2+bx+c$

In variable u: $u^2+u+c=0$ → (2)

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The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

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Y is the midpoint of segment XZ. The coordinates of X are (2, 4) and of Y are (-1, 1). Find the coordinates of Z. ...?

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