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2 years ago

Find the missing side of this right triangle. 19 X X = 16 ✓[?]

Mathematics

1 answer:

julia-pushkina [17]2 years ago

8 0

Answer:

x = sqrt(105)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

16^2 + x^2 = 19^2

256 + x^2 = 361

x^2 = 361 -256

x^2 =105

Take the square root of each side

sqrt(x^2) = sqrt(105)

x = sqrt(105)

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Someone pls help, its on trig ratios.

Mars2501 [29]

Answer:

$BC=12.8,\\AC=15.1$

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

$\tan 58^{\circ}=\frac{BC}{8}$

Solving, we get:

$BC=8\tan 58^{\circ}\approx \boxed{12.8}$

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

$\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}$

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

$8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark$

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2 years ago

The answer choices are -3, 3/2, 3, and -12/5. thanks in advance!! :)

BabaBlast [244]

Answer:

(C). {3}

Step-by-step explanation:

$\frac{x}{2(x+1)}$ = $\frac{-2x}{4(x+1)}$ + $\frac{2x-3}{x+1}$ ( x ≠ - 1 )

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$\frac{2x-3}{x+1}$ - $\frac{x}{(x+1)}$ = 0

$\frac{x-3}{x+1}$ = 0 ⇒ x = 3

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3 years ago

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8_murik_8 [283]

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Step-by-step explanation:

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