Answer:
Formula
A = 1/2 b * h
Substitute
Area = 60 in^2
b = x
h = 2x - 1
60= 1/2 * x * (2x - 1)
Solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Remove the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 This factors.
(2x + 15)(x - 8) = 0
Solve for x
2x + 15 = 0
2x = - 15
x = -15/2
x = - 7.5 a negative measurement is useless. Discard this answer.
x - 8 = 0
x = 8
Area (Check)
base = 8
height = 16 - 1 = 15
Area = 1/2 * 8 * 15 = 60 as it should
Answer
Use Area = 1/2 * b * h to find the base and the height.Step-by-step explanation:
Answer:
I am not sure but for
CAE it is 65˚
CBD it is 65˚
Step-by-step explanation:
x+40=3x-10
Move the 3x to the other side by subtracting by 3x on both sides
x-3x+40=3x-3x-10
The equation now looks like this:
-2x+40=-10
Move 40 to the other side by subtracting 40 both sides:
-2x+40-40=-10-40
-2x=-50
Divide by -2 on both sides:
-2x/-2=-50/-2
x=25
Since we found out what x is we can replace x in both CAE and CBD:
For CBD: 25+40 is 65
For CAE: 3(25)-10 is 65
Answer:
The graph of the data presented is shown in the attached image to this solution.
It shows that the relationship between distance travelled in miles and the time take in hours is D = 55t
Step-by-step explanation:
The distance travelled with the corresponding time taken are presented in the table
Note: D - Distance travelled (miles)
t - Time (hours)
D | t
55 | 1
110 | 2
165 | 3
220 | 4
275 | 5
330 | 6
We are then told to plot these distance travelled on a graph with the time taken.
The distance travelled is plotted on the y-axis and the time in hours is plotted on the x-axis.
The image of the graph of this function will be attached to this answer
It is evident that the graph shows the relationship between the distance travelled and time taken to be D = 55t
Hope this Helps!!!
It would be 6:42 pm I believe.
