The formula for this is
![A= \frac{1}{2} ( b_{1} + b_{2} )h](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28%20b_%7B1%7D%20%2B%20b_%7B2%7D%20%29h)
. Filling in accordingly,
![36= \frac{1}{2}(x+2x)(4)](https://tex.z-dn.net/?f=36%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%2B2x%29%284%29%20)
. This simplifies to
![36= \frac{1}{2}(3x)(4)](https://tex.z-dn.net/?f=36%3D%20%5Cfrac%7B1%7D%7B2%7D%283x%29%284%29%20)
and 36=6x. Therefore, x = 6 so the bases are 6 and 12.
Let the maximum number of pages Jennifer can have be = x
Amount Jennifer has (P) = $62.10
Given equation is :
P = ![(20+0.5x)+0.15(20+0.5x)](https://tex.z-dn.net/?f=%2820%2B0.5x%29%2B0.15%2820%2B0.5x%29)
Price is given = 62.10 , so equation is :
![62.10=20+0.5x+3+0.075x](https://tex.z-dn.net/?f=62.10%3D20%2B0.5x%2B3%2B0.075x)
![62.10=23+0.575x](https://tex.z-dn.net/?f=62.10%3D23%2B0.575x)
![0.575x=39.10](https://tex.z-dn.net/?f=0.575x%3D39.10)
![x=68](https://tex.z-dn.net/?f=x%3D68)
Hence, Jennifer can have a maximum of 68 pages in her book.
The figure shows that the polygon:
- Has 6 sides.
- Divided into 4 triangles.
- Total interior angle measure of 180°.
- Total measure of the interior angles of this polygon is 720°.
<h3>What is the polygon about?</h3>
The polygon has sides of: AB, BC, CD, DE, EF, FA.
So, this means that they have 6 sides and when you look at the diagram, this 6 sides can be divided into 4 triangle of which whose total interior will sum up to 180°.
Since there are 4 triangles and the interior is 180°, then to get the total measure of the interior angles of this polygon will be:
= 180 X 4 = 720
Therefore, one can say that the The figure shows that the polygon, has 6 sides, may be divided into 4 triangles, each of which will have a total interior angle measure of 180. Therefore, the total measure of the interior angles of this polygon is 720.
Learn more about Polygon from
brainly.com/question/1592456
#SPJ1
Answer:
b
Step-by-step explanation:
u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>
given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is
θ =
(
)
thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )
Θ =
(
) = 59.04° ( to 2 dec. places )