The formula for finding the axis of symmetry is x = -b/2a
So we get 2/-2
x = -1
The figure shows that N is the vertex of a right triantle.
The opposite leg to N measures 5.74, the adjacent leg to N measures 4 and the hypotenuse measures 7.
Then you can states these ratios:
sin(N) = opposite leg / hypotenuse = 5.74 / 7 => N = arcsin(5.74 / 7) = arcsin(0.82) = 55.08 °.
cos(N) = adjacent leg / hypotenuse = 4 / 7 => N = arccos(4/7) = 55.15°
tan(N) = opposite leg / adjacent leg = 5.74 / 4 => N = arctan (5.74/4) = 55.13°.
Of course, you do not need to do the three calculations. I did it just to show you.
Answer: the value of N to the nearest whole degree is 55°
Answer:
(a) 0.52
(b) 5.62%
Step-by-step explanation:
The cost price of the tomatoes is 52.
Now we need to know the price per KGB of the tomatoes and this equal the cost price divided by the total weight.
I.e 52/130 = 0.4 per KG
We also know that she sold half at 30% profit.
(a) New selling price per kg.
To get that, we find 30% of 0.4 which equals 0.12.
We then add this to 0.4 = 0.4 + 0.12 = 0.52
(b) percentage profit on whole transaction. We know that she threw away 5kg from the other half after selling 65kg.
Now amount of kg left after throwing away 5kg from the other half is 60kg.
She sold this 60kg at 12% loss.
We find 12% of 0.4 = 0.048
We subtract this from 0.4 = 0.4 - 0.048 = 0.352.
Now total sales now equal the following: 0.52(65) + 0.352(60)
= 33.8 + 21.12 = 54.92
% profit = (selling price- cost price)/cost price × 100%
(54.92 - 52)/52 × 100%
2.92/52 × 100% = 5.62%
Answer:
Table C
Step-by-step explanation:
Divide each y value by the corresponding x value for all given ordered pairs. All 3 divisions for each table must equal 1.5.
Start with Table A:
A:
7.5/5 = 1.5 Yes
19.5/ 13 = 1.5 Yes
33/23 = 1.4347... No
Move on to Table B:
B:
9.5/8 = 1.1875 No
Move on to Table C:
C:
12/8 = 1.5 Yes
19.5/13 = 1.5 Yes
27/18 = 1.5 Yes
Answer: Table C
