Which of the following best describes - square root of 3
2 answers:
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Answer:
Minimum value of function is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering , corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function is 63 occurs at point C (3,6).
Answer:
AG = 4
AH = 21
EC = 12
CH = 5
HE = 7
Step-by-step explanation:
<u><em>The complete question is</em></u>
The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.
Which of the following statements are true? Select all that apply.
•AG = 4
•GC = 10
•AH = 21
•EC = 12
•EH = 5
•CH = 5
•HE = 7
The picture of the question in the attached figure
<u><em>Verify each statement</em></u>
1) AG = 4
we know that
----> radius of circle A
----> radius of circle C
substitute
therefore
The statement is true
2) GC = 10
we know that
----> radius of circle C
therefore
The statement is false
3) AH = 21
we know that
we have
----> radius of circle A
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
4) EC = 12
we know that
----> radius of circle C
therefore
The statement is true
5) EH = 5
we know that
----> radius of circle E
therefore
The statement is false
6) CH = 5
we know that
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
7) HE = 7
we know that
----> radius of circle E
therefore
The statement is true
