Devaughn is 12 years younger than sydney. the sum of thier ages is 50 what is syndys age?
2 answers:
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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
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:
Step-by-step explanation:
Given points are:
(x1,y1) = (6,-2)
(x2,y2) = (12,1)
The slope intercept form is:
We have to find the slope first
Putting the value of slope
To find the value of b, putting (12,1) in the equation
Putting the values of m and b
Hence,
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:
Keywords: Equation of line, slope-intercept form
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