<span>Integration from 0 to pi/2 of (sinx + cosx)/(9+16sin(2x)) dx = 0.109861</span>
Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
Answer: arc ef is 68
Step-by-step explanation:
Since EF and FG are the same length (given)
and DE and DG are the same length (both are radius of the circle)
and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68
The measure of an arc is the same as the measure of the angle across from it
Answer:
90 degrees
Step-by-step explanation:
Angle BGD is supplementary with angle DGE.
BGD + DGE = 180
Since angle DGE is a right angle, then Angle BGD must also be a right angle:
BGD + 90 = 180
BGD = 90
