Mr. Barth is creating an arrow across the school parking lot. The area covered by the arrow is calculated to be 70 square units. Step-by-step explanation: I've marked the points on a coordinate grid and connected them with a rough red line, which is shown in the attached image. The arrow's shape consists of a triangle and a rectangle. Therefore, the total area of the arrow equals the triangle's area plus the rectangle's area. The triangle's area is determined using the formula 0.5 * base * height, where the base measures 12 units while the height is 7 units, giving an area of 42. The rectangle's area is calculated as length * height, where length equals 7 and height equals 4, resulting in an area of 28. Hence, the total area of the arrow equals 42 + 28 = 70 square units.
The expression in question is:
f(x) = x³ – 2x² – x + 2
To determine the roots, follow these steps:
1. Set the equation to zero:
0 = x³ – 2x² – x + 2
2. Factor the equation to get:
(x-2)(x-1)(x+1) = 0
3. The roots can be identified as follows:
x1 = -1
x2 = 1
x3 = 2
Answer:
According to the map, the length of the canal is 16.4 centimeters.
Step-by-step explanation:
If the real length of Panama Canal = 20 kilometers
and the canal's length on the map = 4 centimeters
Then, the scale factor is 
= 
= 
If the actual length of the Panama Canal = 82 kilometers
The length of the canal on the map = Actual length × Scale factor
= 
= 16.4 centimeters
So, the canal's length on the map is 16.4 centimeters.
Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.
Step-by-step explanation:
To address this inquiry, we use an exponential decay formula:
A = P (1 - r) t
Where:
P = initial price
r = the reduction rate (expressed as a decimal)
t = time in years
A = price after t years
Substituting the known values:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 = -r
0.05 = r
Converted to percentage:
0.05 x 100 = 5%
Please reach out if further clarification is needed or if something was unclear.
