<u>Explanation:</u>
The rate is 8. It's attached to the "x". When graphed, 8 is the slope.
The y-intercept represents the initial value, or the starting amount of money in Rose's bank account.
Answer: approximately 49 feets
Step-by-step explanation:
The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).
To determine the height of the tree, we will apply trigonometric ratio
Tan # = opposite/ adjacent
Where # = 36 degrees
Opposite = x feets
Adjacent = 25 feets
Tan 36 = x/25
x = 25tan36
x = 25 × 0.7265
x = 18.1625
Height of the tree from the ground to the point where it broke = x = 18.1625 meters.
The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m
To get y, we will use Pythagoras theorem
y^2 = 25^2 + 18.1625^2
y^2 = 625 + 329.88
y^2 = 954.88
y = √954.88 = 30.9 meters
Height of the tree before falling was
18.1625+30.9 = 49.0625
The height of the tree was approximately 49 feets
Create and solve an appropriate equation: Maria's earnings = Liam's earnings
0.20x = $625+0.10x.
Find x.
0.10x = $625; thus, x = $6250. At this level of food sales, these two people earn the same amount.
Answer:
y = 5.4x + 23.5
Step-by-step explanation:
Since the service charges $23.50 for every hour, you have to multiply x by 23.5 like this: 23.5
There is a flat fee of $23.50, so you have to add 23.5 on top of that like this: 5.4x + 23.5
All of this has to add up to y; 5.4x + 23.5 = y
the negative - positive
- 24/-4
24/4
6