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3 years ago

Find the length of Lw

Mathematics

1 answer:

pav-90 [236]3 years ago

4 0

Answer:

$LW=17.5\ units$

Step-by-step explanation:

we know that

<em>In the right triangle LAY</em>

<em>Find the measure of side LY applying the Pythagoras Theorem</em>

$LY^{2} =3.5^{2}+ 7.0^{2} \\ \\ LY^{2} =61.25\\ \\ LY=\sqrt{61.25}\ units$

Find the cosine of angle ALY

$cos($

$cos($ -----> equation A

<em>In the right triangle LWY</em>

$cos($

$cos($ -----> equation B

equate equation A and equation B and solve for LW

$\frac{3.5}{\sqrt{61.25}}=\frac{\sqrt{61.25}}{LW}$

$LW=(\sqrt{61.25})(\sqrt{61.25})/3.5$

$LW=17.5\ units$

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3 years ago

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4 years ago

A local hamburger shop sold a combined total of 578 hamburgers and cheeseburgers on Tuesday. There were 72 fewer cheeseburgers s

andreev551 [17]

Let h be hamburgers and c be cheeseburgers.
We know that $h + c = 578$
We also know that $c + 72 = h$
This gives us a system of equations we can solve. My preferred method to solve systems is substitution, where we solve one equation for one of the variables, then substitute that solution in the other equation, reducing it to a single variable equation. One of the equations already equals h, so we can go straight into the sub part.
$h + c = 578$
$(c + 72) + c = 578$
$c2 = 506$
$c = 253$
Finally, we go back to the other equation and solve for h.
$c + 72 = h$
$253 + 72 = h$
$325 = h$
So, total there were 253 cheeseburgers sold, and 325 hamburgers sold.

6 0

4 years ago

Read 2 more answers