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:
![cos \theta = \frac{h}{L}](https://tex.z-dn.net/?f=%20cos%20%5Ctheta%20%3D%20%5Cfrac%7Bh%7D%7BL%7D%20)
Substituting figures, we have:
Let's make h subject of the formula.
![h = 4cos(23) = 3.68](https://tex.z-dn.net/?f=h%20%3D%204cos%2823%29%20%3D%203.68%20)
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
Answer:A
Step-by-step explanation: the diagonals face each other making them perpendicular making both sides parallel to each other, being straight.
Answer:
Restating the question clearly:
Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?
Answer:
He drinks
in 1 hour
Step-by-step explanation:
![Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\](https://tex.z-dn.net/?f=Rate%5C%20of%5C%20drinking%5C%20%3D%5C%203%5Cfrac%7B1%7D%7B2%7D%5C%20liters%5C%20per%5C%20%5Cfrac%7B2%7D%7B3%7D%5C%20of%5C%20an%5C%20hour%5C%5C)
![\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters](https://tex.z-dn.net/?f=%5Ctherefore%5C%203%5Cfrac%7B1%7D%7B2%7D%5C%20liters%5C%20is%5C%20consumed%5C%20in%5C%20%5Cfrac%7B2%7D%7B3%7D%20%5C%20hours%5C%5C%5Cfrac%7B7%7D%7B2%7D%20%5C%20liters%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5C%20hours%5C%5Ccross-multiplying%5C%5C7%20%5Ctimes%203%5C%20liters%20%3D%202%20%5Ctimes%202%5C%20hours%5C%5C21%5C%20liters%20%3D%204%5C%20hours%5C%5C4%5C%20hours%5C%20%3D%2021%5C%20liters%5C%5C%5Ctherefore%5C%20for%5C%20%201%5C%20hour%5C%5C%5Cfrac%7B4%7D%7B4%7D%5C%20hours%20%3D%20%5Cfrac%7B21%7D%7B4%7D%5C%20liters%5C%5C1%5C%20hour%20%3D%205.25%5C%20liters%5C%5C5.25%5C%20liters%20%3D%205%5Cfrac%7B1%7D%7B4%7D%5C%20liters)
Define your two QUESTIONS
Write your system of EQUATIONS
SOLVE the system of equations.
Find the SOLUTION to the question being asked.
Answer:
32
Step-by-step explanation:
it multiplies by -2 every time