Answer:
![41\text{ [units squared]}](https://tex.z-dn.net/?f=41%5Ctext%7B%20%5Bunits%20squared%5D%7D)
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length
and width 
: 
- Area of triangle with base
and height 
: 
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is 
The area of all four is then 
units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 
units squared, and the both of them have a total area of 
units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of 
units squared.
Therefore, the area of the entire octagon is ![8+12+21=\boxed{41\text{ [units squared]}}](https://tex.z-dn.net/?f=8%2B12%2B21%3D%5Cboxed%7B41%5Ctext%7B%20%5Bunits%20squared%5D%7D%7D)
16 gal = 200 mi
X gal = 350
16/200 = X/350
Cross multiply divide
16(350) = 200(X) > 5600 = 200X
Solve for X
5600/28
X = 28
Answer:
The proposed 1600 meters runway length is not long enough
Step-by-step explanation:
The given parameters are;
The amount by which a plane can accelerate = 3.3 m/s²
The time it takes for a plane to lift off the ground = 35 seconds
The length of the runway on the blueprint = 1,600 meters
Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;
s = u·t + 1/2·a·t²
Where;
u = The initial velocity
t = 35 seconds
a = 3.3 m/s²
Given that all planes will start motion from rest, we have;
u = 0 m/s
Therefore;
s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters
Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.
Answer:
18
Step-by-step explanation:
f(x) = x³+4x²-8x-6
P(a) <=> P(x)
-2 | 1 4 -8 -6
|
| -2 -4 24
----------------------------
1 2 -12 18
function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
