Answer:
42.5 units^2
Step-by-step explanation:
We can split up this shape into smaller ones.
First we can start with the large rectangle on top
We know its 9 by 3.5
9x3.5=31.5
The large rectangle is 31.5, at the end we'll add them all together
Next we can work on the small triangle on the bottom left
Area= bh/2
Both the base and height are 2, 2x2=4 4/2=2, The area of that triangle is 2
Now we can work on the triangle on the bottom right. This time the base is 5
5x2=10 10/2=5, The area of that triangle is 5
Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.
Now we know the small square is 2 by 2. 2x2=4 The square's area is 4
Now we add them all up.
31.5+2+5+4=42.5
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute

step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values

Find the length sides CG
Applying the Pythagorean Theorem

substitute the given values



simplify

therefore

step 3
Find the area of rectangle

we have


substitute

First, get the difference between the price level changes.

Then, divide it by the initial price level, which is 109.

Multiply by 100 to get its percent.

Thefore, the inflation rate during the year is 3.67 percent.
Answer:
The equation for the following graph:

Step-by-step explanation:
- You first need to find the slope by using the <u>slope formula</u>:

(where
is the first point and
is the second point)
-Use the given points
and
from the graph for the formula:

Then, you solve:


After you have found the slope, use the slope
and the first point
for the <u>point-slope formula:</u>

<u>(</u>where
is the slope and
is the first point)

Then, you solve:




So, the equation for the following graph is
.