Answer:
and 
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x =
=
← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x =
=
← in simplest form
In item# 1, we are only given with the height of the tree a=15 meters and we are asked to solve for the hypotenuse. Since we are not given with angle created between the rope the ground level we will assign it as ∠A = ∅
Solving for the length of the rope, we have
sin A = 15/Length of rope
Length of rope = 15 meters / sin A
In item#2, assuming that it is a right triangle we have:
8 ²= x²+3.5²
x=7.2
The smallest angle:
sin Z =3.5/8
Z = 25.95°
Answer:
X=y/3-1/3
Hope this helped good luck
The perimeter of a shape is the sum of its side lengths
The corresponding side length for shape B is 20 feet
<h3>How to determine the length</h3>
The length-perimeter ratio is given as:
Ratio = Length : Perimeter
For both shapes, we have:
12 : 36 = Length : 60
Express as fraction

Multiply both sides by 60


Hence, the corresponding side length for shape B is 20 feet
Read more about perimeter at:
brainly.com/question/17297081
Answer:
A) 40 + d
B) 45 days
Step-by-step explanation:
A)
total cost = (cost of the air conditioner itself) + (money charged per day)*(days)
cost of air conditioner itself = $40
money charged per day = $1
days = d
40 + 1*d
= 40 + d
B)
total cost = 40 + d
total cost = $85
85 = 40 + d
45 = d
Time used the air conditioner for 45 days.