Answer:
easy!
Step-by-step explanation:
A = s^2
A' = 2s*s'
When the area is 36 cm^2, the side (s) is 6 cm. The area is increasing at the rate
A' = 2(6 cm)*(6 cm/s) = 72 cm^2/s
Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
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Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
Given that the diameter: d= 0.0625 inch.
So, radius of the wire : r =
= 0.03125 inch
Now the formula to find the cross-sectional area of wire ( circle) is:
A = πr²
= 3.14 * (0.03125)² Since, π = 3.14 and r = 0.03125
=3.14 * 0.000976563
= 0.003066406
= 0.00307 (Rounded to 5 decimal places).
Hence, cross-sectional area of a wire is 0.00307 square inches.
Hope this helps you!
Answer:
i wanna say yes it is a natural number, i hope this helps