The area of the sector, when the measure of the central angle is in radians, can be solved using this equation:
A = (n/2) r²
From the given values,
A = (π/6/2) (10²)
A = 25π/6 = 26.18 in²
Therefore, the area of the sector with the central angle measuring π/6 with the radius of the circle 10 inches is 26.18 in²
Answer:
-38.33333333333333333333333334
.04x+.05 (1500-x)=67
Solve for x
X=800 at 4%...answer
1500-800=700 AT 5%
Hope it helps:-)
Answer:
<h2>V = x³ + 54x² + 936x + 5,184</h2>
Step-by-step explanation:
<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18) </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3> Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184 where x represents the increase in inches</h3>
