Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10
Let the number of rows be = r
Let the number of seats per row be = s
we know that the number of seats is 126.
So, 
..... (1)
As given, there are five more seats per row than the number of rows, so we can say that:
Putting this in equation (1)
r=-14 and r=9 (neglecting the negative value) we get r=9
And s=r+5
so, s =9+5=14
Hence, there are 5 rows and 14 seats per row.
The shape that we have here is sued to show the infinite geometric progression.
<h3>What is geometric progression?</h3>
This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor
In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.
The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.
Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.
Read more on triangles here:
brainly.com/question/17335144
#SPJ1
Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY = 
= 0.84167
Y = 
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°
