Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
Substituting figures, we have:
Let's make h subject of the formula.
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
1/6 = 0.16
1/8 = 0.125
1/11 = 0.09
2/9 = 0.22
4/5 = 0.8
5/9 = 0.56
1/2 = 0.5
7/9 = 0.78
Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by:
A = lw.
In this problem:
- She has enough tiles to cover 324 square feet, hence A = 324.
- She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.
Thus:
324 = w(15 + w)
w^2 + 15w - 324 = 0
w = -27 or w = 12.
We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.
The dimensions should be a width of 12 feet and a length of 27 feet.
You can learn more about the area of a rectangle at brainly.com/question/10489198
Step-by-step explanation:
<h2>3(100)2 + 17(100) - 20</h2>
3(10000) + 1700 - 20
30000 + 1700 - 20
31680
130+31.67x=500
31.67x=370
x≈ 11 days. As a result, the maximum number of days that I can rent a car if i have a $500 budget is 11 days. Hope it help!
