You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2
the hypotenuse is 10.
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = 
← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = 
( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = 
← equation of variation
When p = 2 and q = 3, then
r = 
= 
= 8
Answer:
Length= 30 ft
Width= 18ft
Step-by-step explanation:
The perimeter of the rectangular patio is to be 96 feet.
the length is to be 6 feet less than twice the width
Perimeter=2(length+width)
But
Length= 2(width)-6
Substituting in perimeter equation
Perimeter=2(length+width)
Perimeter=2((2(width)-6)+width)
Perimeter= 96 feet
Let width= x
Perimeter=2((2(width)-6)+width
96=2((2(x)-6)+x)
96= 4x-12+2x
108= 6x
18= x
Width= 18ft
Length= 2(width)-6
Length= 2(18)-6
Length= 36-6
Length= 30 ft
Answer:
Step-by-step explanation:
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