Whose correct & whats an equation to solve for x.

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

Answer:

Step-by-step explanation:

x is the side opposite the angle of 12 degrees

we know the hypotenus is 20 ft

we don't know what the side length that is adjacent to the angle

----------------

ADJ/HYP = cos (of the angle)

OPP/HYP = sin (of the angle)

sin/cos = tan (of the angle) = ( OPP/HYP) / (ADJ/HYP) = OPP/ ADJ

How would we solve for x the side opposite the angle?

So who is right?

You might be interested in

For what value(s) of the constant b does the equation f(x)=3x^2+bx+27 have 1 x-intercept

lions [1.4K]

Step-by-step explanation:

An a quadratic equation,

${ax}^{2} + bx + c = 0$

If the quadratic has one solution,

then

$b {}^{2} - 4ac = 0$

So plug in 27 for c, and 3 for a

${b}^{2} - 4(3)(27) = 0$

${b}^{2} - 324 = 0$

${b}^{2} = 324$

$b = 18$

$b = - 18$

So our answer is 18 or -18

7 0

2 years ago

Randall wants to mix 50 lb of nuts worth $2 per lb with some nuts worth $7 per lb to make a mixture worth $6 per lb. How many po

defon

A = nuts of $2/lb

B = nuts of $7/lb

let's say we'll mix "x" lbs of B to get a mixture with A of "y" lbs, therefore

$\bf \begin{array}{lcccl} &\stackrel{lbs}{quantity}&\stackrel{\textit{cost}}{per~lb}&\stackrel{\textit{cost}}{total}\\ \cline{2-4}&\\ A~ nuts&50&2&100\\ B~nuts&x&7&7x\\ \cline{2-4}&\\ mixture&y&6&6y \end{array} \\\\\\ \begin{cases} 50+x=\boxed{y}\\ 100+7x=6y \end{cases}\qquad \qquad \implies 100+7x=6\left( \boxed{50+x} \right) \\\\\\ 100+7x=300+6x\implies \blacktriangleright x=200 \blacktriangleleft$