Answer: 
Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.
You can find the slope in two ways:
1. Useful if the line is graphed: count the units between 2 points on the line.
- Let's use the points (-1, 4) and (4, -4).
- (-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).
- Because the line is decreasing, the slope is negative.
- Therefore, the slope is .
2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.
- Let's use the points (-1, 4) and (4, -4).
- Therefore, the slope is .
Area = length x width
replace the known information into the equation:
area = 2/3
width = 1/2
so now the formula looks like:
2/3 = 1/2 x L
to solve for L we divide both sides by 1/2
L = 2/3 / 1/2 which = 2/3 * 2/1 = 4/3 = 1 and 1/3 km
129 divided by 5 is equal to 25 with a remainder of 4.
This means that she will need a total of 26 boxes, but only 25 of them will have 5 cupcakes in them. The last one will have 4 cupcakes.
Answer:
Step-by-step explanation:
According to the diagram ,
Hypotenuse = 10√3
Opposite = x
Adjacent = y
α = 60
Using SOHCAHTOA ,
Sin α = opp / hyp
Sin 60= x/10√3
√3/2= x/10√3
x = 15
Pythagoras theorem ;
Hypotenuse ^2 = Opposite ^2 +Adjacent ^2
10√3 ^2 = 15^2+ y^2
300 = 225 +y ^2
300 -225 = y^2
75 = y^2
y = √75y
y = 5√3
