Answer:
120°; 240°
Step-by-step explanation:
Let's first solve for
:
At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is
on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.
Answer:
Not quite sure what you're meant to solve for, but my solution is below.
Step-by-step explanation:
The square root of a value squared is the absolute value of that value, because squaring removes all negatives. Therefore:



Hope this helps!
Answer:
Markup of _66.67_ % or $ _33,92_ per pair of boots
Step-by-step explanation:
In order to find the markup per pair of boots, we need to find the sales price BEFORE tax.
That can be done simply with a cross-multiplication (106.25 represents total price with 6.25% tax, and 100 represent amount of sales before tax)

if we isolate x we have x = (90.10 * 100) / 106.25 = $84.80
We can then easily calculate the markup amount, since the boots were sold $84.80 and Marissa paid $50.88, that means her markup amount is $33.92.
Now, let's calculate the markup percentage by see how much $33.92 represents compared to the initial price of $50.88:
$33.92 / $50.88 = 66.67%