The initial value of the graph is where 
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and 
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.
Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Answer:
x = 8
Step-by-step explanation:
-6x + 63 = -9
-6x = -72
x = 8
Use trigonometry.
cos(18°) = x/25
Multiply both sides by 25.
cos(18°)25 = x
23.7764129074 = x
We round off to the nearest hundredth. This means to round off to two decimal places.
Doing so, we get 23,78 cm = x.
Answer:
The ratio for the boys is 24:40 and the girls is 16:40 so the girls and boys is 16:24
Step-by-step explanation:
