Answer:
6
Step-by-step explanation:
The figure inside the circle is symmetric. Therefore, 3x + 5 = 5x - 7. Solving for x, we subtract 3x from both sides and then add 7 to both sides. This comes out to 2x = 12, meaning that x must be 6.
The third angle is approximately 75 degrees.
Answer:
11,664 inches³
Step-by-step explanation:
Let 'S' be the length of the side of the square base and 'H' be height of the parcel.
The U.S postal regulations specify that:
The volume of the parcel is given by:
The value of 'S' for which the derivate of the volume function equals zero yields the maximum volume:
Solving for 'H':
The maximum volume is:
Answer:
84.26° in the south west direction.
Step-by-step explanation:
I've attached an image showing the triangle formed by the motion of the plane and the wind.
I've depicted the plane being pushed west and the wind moving south west.
Thus, the direction of motion of the plane will be angle θ.
Using trigonometric ratios;
25/250 = cos θ
cos θ = 0.1
θ = cos^(-1) 0.1
θ = 84.26°
Thus will be in the south west direction.
G1 : 0.3(2000) = 600
G2: 0.2(2000) = 400
G3: 0.15(2000) = 300