Answer:
330
Step-by-step explanation:
When we are at 30 degrees on the unit circle, we are at the point (
/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point (-
/2, -1/2).
Note: (cosine, sine)
1. m = -5/2
2. b = 15
3. y = -5/2x + 15
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
__
You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
Answer
2.(2,1)
3. (2,2)
Step-by-step explanation:
Given,
2.2x+y=4
x+3y=_3
sol
2x+y=4..... equation i
x+3y=_3 ....eq ii
eq ii of 2 multiple the eq i
2x+y=4
2x+6y=_6
_ _ +
__________
o+ 5y = 10
y =10÷5
y = 2 ans
y valu put the eq 1
2x+y=4
2x+2=4
2x=4_2
2x=2
x=2÷2
x=1
3.
sol
3x+5y=4..... eq 1
x+3y=4 ..... eq 2
eq 2 multiple eq 1. 3
3x+5y=4
3x+9y=12
_ _ _
___________
0x+4y=8
4y=8
y=8÷4
y=2 ans
the y value put the eq 1
3x+5y=4
3x+5×2=4
3x+10=4
3x=10_4
3x=6
x=6÷3
×=2 ans
This is a multiple step question. Before you can answer it you must find what it is asking, which is the highest rate for making money, or the greatest rate of change. To compare the rate of change between each grade, you must first have them in common units, which can be done by finding how much money was made by each grade in one hour. To find this, divide the number of dollars made by the number of hours it was made in to get how much was made in one hour. Doing this shows that the sixth grade made 34 dollars an hour (170 divided by 5), seventh made 28 dollars an hour (112/4), and the eighth grade made 32 dollars an hour (192/6). Then compare the numbers to see that the greatest amount earned in one hour was 34 dollars, by the sixth grade, which then becomes your answer: The sixth grade had the highest rate for raising money.