Answer:
w = 1.6
Step-by-step explanation:
Given w varies inversely as 
then the equation relating them is
w = 
← k is the constant of variation
To find k use the condition when x = 4, w = 4
k = w = 4 × 
= 4 × 2 = 8
w = 
← equation of variation
When x = 25, then
w = 
= 
= 1.6
The answer is: "3" .
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Use the Pythagorean theorem (for right triangles):
a² + b² = c² ;
in which "a = "side length 1" (unknown; for which we which to solve);
"b" = "side length 2" = "√3" (given in the figure) ;
"c" = "length of hypotenuse" = "2√3" (given in the figure);
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a² + b² = c² ;
a² = c² − b² ;
Plug in the known values for "c" and "b" ;
a² = (2√3)² − (√3)² ;
Simplify:
(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3) = 4 * 3 = 12 .
(√3)² = (√3√3) = 3 .
a² = 12 − 3 = 9 .
a² = 9
Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation; & to solve for "a" ;
+√(a²) = +√9 ;
a = 3 .
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The answer is: "3" .
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Answer:
4
Step-by-step explanation:
The number on the right squared in equal to the number on the left
5^2 =25
6^2 = 36
What squared = 16
4^2 = 16
The the missing number is 4
Answer:
5/12 or 0.416667
Step-by-step explanation:
Plug in the values for x and y.
8(1/3) - 3(3/4)
Evaluate.
8/3 - 9/4
32/12 - 27/12
= 5/12
