4 years ago

The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg

Mathematics

1 answer:

taurus [48]4 years ago

4 0

Answer:

The other legs are 9 and 9√3

Step-by-step explanation:

The longer side of a 30-60-90 degree rectangle is 18.

The other legs will be

$\frac{x}{2}$

and

$\frac{x}{2} \sqrt{3}$

Where x is the longest side, which is given as 18.

Therefore one leg will be:

$\frac{18}{2} = 9$

and the other leg will be:

$\frac{18}{2} \sqrt{3} = 9 \sqrt{3}$

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Fudgin [204]

Using the 45 45 90 right triangle theorem to solve this problem, where the isosceles sides are x and the hypotenuse is xrad2

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6 0

4 years ago

The absolute value function, f(x) = –|x| – 3, is shown. What is the range of the function?

vlabodo [156]

Answer:

Range = [-3,-∞)

Step-by-step explanation:

Let us see the parent function of

$f(x)=-\left | x \right |-3$

The parent function is

$f(x) =\left | x \right |$

$f(x)=-\left | x \right |-3$

is translated function. The parent function is reflected along x axis and then shifted down by three units.

please see the attached image.

The range of the parent function is All positive real numbers. Where as the range of translated function $f(x)=-\left | x \right |-3$ is negative real numbers , from -3 and onward

Range = [-3,-∞)