Answer: The circumference is: " 8.87 square units " .
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Explanation:
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Note the following:
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Area of a circle: A = π r² = 25 units² ;
Circumference of a circle: C = π*d = 2πr
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If we can solve for "r" ("radius", we can solve for the "Circumference, "C") ;
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A = π r² = 25 ;
C = 2 * π *r
So: " π * r * r = 25" ;
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We know that: " π * r * r = 25" ;
Multiply EACH side of the equation by "2" ;
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2*{ π * r * r = 25} ;
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To get: 2 * π * r * r = 25 ;
Note: "C = 2* π * r ;
So, "(2 * π * r) * r = 25 " ;
We want to solve for "C" ; so replace the "(2 * π * r) " ; with "C" ;
C * r = 25 ;
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Divide EACH SIDE of the equation by "r" ; to isolate "C" on one side of the equation:
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(C * r) / r = 25 / r ;
to get: C = 25 / r ;
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Now, we need to find the value for "r" (the radius);
to find "C" (the circumference).
We know that:
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π * r² = 25 ;
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Divide each side of the equation by "π"; to isolate "r² " on one side of the equation;
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(π * r²) / π = 25 / π ;
To get:
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r² = 25/π ; Let us use "3.14" as an approximation for "π" ;
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r² = 25 / (3.14) ;
r² = 7.9617834394904459 ;
Take the "positive" square root of EACH side of the equation;
(since the radius, "r", cannot be a negative value);
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+√(r²) = +√(7.9617834394904459) ;
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to get:
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r = 2.8216632399155016635 ;
→ Round to: " 2.82 " ;
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C = 25 / r ;
C = 25 / (2.82) = 8.8652482269503546 square units .
→ Round to: "8.87" square units.
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The answer is: "8.87 square units" .
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Answer:
1/3x
Step-by-step explanation:
for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4
so we get:
1/3x
Answer:
Step-by-step explanation:
Given that a soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 inch.
a) sigma = 0.25
Since population std dev is known we can use Z critical value i.e. 2.58
Hence when sigma =0.25
we get n should be atleast = 41.6025 or 42
b) when sigma = 0.3 we get
n >59.390=60
c) Big std deviation requires larger sample size.
Step by step explanation:
5X4=20
£20 for 5 hours
£20+£12=£32
Hope this helped!
Answer:
tan C = 3/4
Step-by-step explanation:
sin C = opposite over hypotenuse
sin C = 3/5
BC = 5
AB = 3
We can use the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2= 25
Subtract 9 from each side
9-9+b^2=25-9
b^2= 16
Take the square root of each side
sqrt(b^2)= sqrt(16)
b = 4
AC = 4
Tan C = opp side/ adj side
tan C = AB/ AC = 3/4
