Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
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Answer:
Step-by-step explanation:
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Answer:
m = 15
Step-by-step explanation:
to solve this question we have it to be
4^m÷4^5 = 4^3
from the question , we are going to cross multiply
we have,
4^5 × 4^ 3 = 1 × 4 ^m( since the right hand side has the same base(4) we can pick one )
4^ 5 ×3 = 4^m
multiply through by 1/4
1/4 × 4^ 5×3 = 1/4 × 4^m
5×3 = m
15 = m
therefore the value of m = 15
Answer:
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin 
.
Radius of the outer circle is
Equation of a circle
where
Here the equation will be
The equation of the outer circle is 
