Answer:
around 51.78
Step-by-step explanation:
do 246÷4.75 which is around 51.78
4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle.
does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.
Answer:
Jen saved $320.
Step-by-step explanation:
Since she would like 8 bushes total and 1 = $60, we will multiply (60 x 8) to get a total of $480.
Finally, to find out how much Jen saved, we must subtract Jens final priced total ($480) - the landscapers asking price ($800) to get ( = $320)
Jen payed $480 and saved $320.
Hope this helps...
Answer:
Step-by-step explanation:
Distance between two points
and
is given by the formula,
Distance = 
a). A(-6, -4), B(-3, -1)
Distance between A and B = 
= 
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D = 
= 
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance = 
= 
= 10√2
= 14.14
≈ 14.1 units
Discuss answers modelling by placing two quarters over a half to show they are the same. Show 2/4 = 1/2, 2/2 = 1 and 4/4 = 1 emphasise two halves are a whole, four quarters are a whole and two quarters are a half.