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2 answers:
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Answer:
RS = 30 units
Step-by-step explanation:
Given:
Length (PS) =
Width (PQ) =
Perimeter = 134 units
Required:
RS (width)
SOLUTION:
Perimeter of a rectangle = 2(length + width)
Plug in the values into the equation
134 = 2[(4y + 1) + (3y + 3)]
134 = 2[4y + 1 + 3y + 3]
134 = 2[7y + 4]
134 = 14y + 8
Subtract 8 from each side of the equation
134 - 8 = 14y
126 = 14y
Divide both sides by 14.
126/14 = 14y/14
9 = y
y = 9
✍️RS = Width (PQ) =
Plug in the value of y
RS = tex] 3(9) + 3 [/tex]
RS = tex] 27 + 3 [/tex]
RS = 30
Finding the radius from it's surface area, the volume of the sphere is of 268.08 cm³.
<h3>What are the surface area and the volume of an sphere?</h3>For an sphere of radius r, we have that the surface area is given by:
The volume is given by:
Considering the surface area of 200.96 cm², the radius is given by:
r = 4 cm
Hence the volume is given by:
More can be learned about the volume of an sphere at brainly.com/question/25608353
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