3 years ago

What is the range and domain?

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer- D-apex hope i’m right i’m not sure

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Find the area of the trapezoid

Alexandra [31]

Answer:

$\sf area \ of \ trapezoid \ =375 \ mm^2$

Explanation:

$\sf area \ of \ trapezoid \ = \dfrac{1}{2} * ( base \ 1 + base \ 2 ) * height$

using the formula:

$\sf area \ of \ trapezoid \ = \dfrac{1}{2} * ( 14+ 36 ) * 15$

$\sf area \ of \ trapezoid \ = \dfrac{1}{2} * ( 50 ) * 15$

$\sf area \ of \ trapezoid \ =25 * 15$

$\sf area \ of \ trapezoid \ =375 \ mm^2$

5 0

2 years ago

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Expression for all solutions to the equation cos(theta) = 1 + 3cos(theta)

OleMash [197]

$\cos\theta=1+3\cos\theta\implies 0=1+2\cos\theta\implies \cos\theta=-\dfrac12$

On the unit cirlce, the cosine of an angle is negative whenever the angle falls in the interval $\dfrac\pi2$ .

If you recall your special triangles, this cosine occurs for angles of $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ .

More generally, this occurs for $x=\dfrac{2\pi}3+2n\pi$ and $x=\dfrac{4\pi}3+2n\pi$ , where $n$ is an integer.