PROBLEM: 14. The diagram shows quadrant of radius 2, and two touching semicircles. The larger semicircle has radius 1. What is the radius of the smaller semicircle? a. 1/2 b. 2/3 c. (√3)/2 d. pi/6

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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INSTRUCTIONS:
• Please write clearly and understandable way.
• Write all the corresponding Given before solving.
• Draw/Illustrate the diagram/circuit or drawings that is related to
the problem, IF POSSIBLE, which is HIGHLY REQUIRED.
• Solve in step-by-step, no shortcut, with formulas before
solutions together with the units
• Underline twice the Final Answer.
PROBLEM:
14. The diagram shows quadrant of radius 2, and two touching
semicircles. The larger semicircle has radius 1. What is the radius
of the smaller semicircle?
a. 1/2 b. 2/3 c. (√3)/2 d. pi/6
15. Find the equation of an ellipse with its major axis parallel to x-
axis, center at (3,1), one of vertices at (-5,1) and length of latus
rectum equal to 1.
a. (x+3)2+4(y-1)2=4
b. 4(x+3)2+(y-1)2=1
c (x+3)2+(y-1)2 = 1
d. None of the given
Transcribed Image Text:INSTRUCTIONS: • Please write clearly and understandable way. • Write all the corresponding Given before solving. • Draw/Illustrate the diagram/circuit or drawings that is related to the problem, IF POSSIBLE, which is HIGHLY REQUIRED. • Solve in step-by-step, no shortcut, with formulas before solutions together with the units • Underline twice the Final Answer. PROBLEM: 14. The diagram shows quadrant of radius 2, and two touching semicircles. The larger semicircle has radius 1. What is the radius of the smaller semicircle? a. 1/2 b. 2/3 c. (√3)/2 d. pi/6 15. Find the equation of an ellipse with its major axis parallel to x- axis, center at (3,1), one of vertices at (-5,1) and length of latus rectum equal to 1. a. (x+3)2+4(y-1)2=4 b. 4(x+3)2+(y-1)2=1 c (x+3)2+(y-1)2 = 1 d. None of the given
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