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3 years ago

12

If the length of FH is 18 units, what is the value of x?

2 answers:

valentinak56 [21]3 years ago

5 0

Well if FG is 4x and GH is 2x the you add them to get 6x for FH. Solve for x so 6x=18 which means x=3. Hope this helps

Shkiper50 [21]3 years ago

5 0

we know that

$FH=FG+GH$

In this problem we have

$FH=18\ units\\FG=4x\\GH=2x$

substitute in the formula above

$18=4x+2x$

solve for x

$6x=18$

$x=18/6$

$x=3\ units$

therefore

<u>the answer is</u>

The value of x is $3\ units$

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

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Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

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Answer:

iIm sorry dont report but i do not understand what im answering, but ill take the points thank you

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