Answer:


Step-by-step explanation:
Given:
Length of rectangular garden = (x + 2) ft
Width = (x + 7) ft
Required:
a. Polynomial expression of the area of the garden
b. Polynomial expression of the perimeter of the garden
SOLUTION:
Area of the rectangular garden = length × width

Expand using the distributive property of multiplication



Perimeter = 2(length) + 2(width)


Collect like terms


The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.
This is the form of the inequality:
(total cost) [less than or equal to] $80
(rent) + (cost per guest)(number of guests) [less than or equal to] $80
$45 + $5.50 x [less than or equal to] $80
Simplify. To do this, subtract $45 from both sides of this inequality.
Divide both sides of the resulting inequality by $5.50.
What is the restriction on x?
28x + 20y I think is the answer
Answer:
Step-by-step explanation:
<u>The gray triangles have</u>
- Base of 20 cm and added height of 60 cm for 2 triangles in each section of AMND and MNCB
<u>The grey area in total is</u>
- 1/2*20*60 + 1/2*20*60 = 20*60 = 1200 cm²
Since there is no distance between the pole and the base of the tower, we can assume that the pole is at the base of the tower.
We can create a right triangles between the pole and its shadow and between the tower and its shadow as shown in the figure. Let

be the height of the tower. Since our triangles are similar the ratio between its sides is going to be proportional, so we can establish a proportion to find

:


We can conclude that the tower is 137.27 meters tall.