Answer:
x is 7
Step-by-step explanation:
-3-(-8)-(-2) = x
7 = x
Answer:
Once you know the sum, you can divide that by 12 to get the measure of each interior angle: 1800°/12 = 150°
Step-by-step explanation:
Answer:
y = 1/3x + 6
Step-by-step explanation:
Rearrange equation to get y by itself.
3x + y = -1
y = -3x - 1
Perpendicular = opposite reciprocal. This means that the slope = 1/3
Convert to point-slope form: y - y1 = m (x - x1)
y - 5 = 1/3 (x - (-3))
y - 5 = 1/3 (x + 3)
y - 5 = 1/3x + 1
y = 1/3x + 6
This is not 4 different problems.
It's the same problem 4 times.
The Rule: To find the unit rate, divide the price by the quantity.
Just like you wrote in pencil next to #6 and #8 .
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#6). Look at The Rule up above.
Unit price for Brand A: $4.80 / 32 oz = 15¢ per oz.
Unit price for Brand B: $5.76 / 48 oz = 12¢ per oz.
Unit price for Brand C: $17.92 / 128 oz = 14¢ per oz.
#7).
IF the price is the ONLY thing that's different about them, then Brand-B
is the best choice, because it's the lowest price per ounce.
BUT ... there may be other things to compare:
Do they all get your dishes equally clean ?
Do they all rinse off equally easily ?
Do they all smell the same ?
Do any of them attract bugs when they stand around ?
Do any of them spoil when they stand around open ?
You may want to consider other things besides the price
when you're deciding which detergent to buy.
#8). Look at The Rule up above again.
Unit rate for Regular size = $3.36 / 16 oz = 21¢ per oz.
Unit rate for Family size = $7.60 / 40 oz = 19¢ per oz.
<span>#9).
</span>Again ... IF the cost is the ONLY thing to think about, then the Family size
is the better buy, because it costs 2¢ less for every ounce.
But there may be other things to consider. Does the peanut butter from
both sizes taste the same ? Does one taste better ? Is the Family size
so big that it might be hard to handle, and you may drop it by accident ?
Answer:
.6601
Step-by-step explanation:
to find u, which we assume is an angle of course, we can take arctan of both sides. so arctan(-7.721) = -1.4420. this angle is in quadrant 4, but it is not in the range. In this instance you just go around the circle again, or add 2pi, which gets us 4.8412. You can check and you get the same answer if you take the tangent of either.
So now we have a number in the appropriate range in the appropriate quadrant. That means we have the correct angle. The question asks what is sine of that angle cut in half. so sin(4.8412/2), which gets you your answer. let em know if something didn't make sense.