Find the value of x.

Mathematics

2 answers:

Elis [28]2 years ago

8 0

Answer:

C (86.113)

Step-by-step explanation:

First, find the missing angle B. Since angles in a triangle add upp to 180,

180-26-90= 64

Then use the formula a/sina = b/sinb

' a' in the formula is the missing length X and sina is the corresponding(opposite) angle of X which is sin64.

B in the formula would be 42 and sinb is sin26 (the angle).

Substitute all values into the formula,

X/sin64 = 42/ sin26

Shift sin64 to the right side:

X= 42(sin64)/ sin26

X= 86.113

Hope this makes sense:)

masya89 [10]2 years ago

3 0

Step-by-step explanation:

$\tan(26) = \frac{42}{x} \\0.487732588565 \times x = 42 \\ x = 86.11276134633$

C.x=86.113

You might be interested in

What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

nordsb [41]

Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
$- \frac{C}{B}$ - phase shift

$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}$

Amplitude: 5
Period: $\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi$
Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$