The formula for the surface area of a cube is 6a^2, where a = the length of one edge. To get the cube's edge length, use the vertex coords given to you [(4, 8) and (12,16)]. From 4 to 12 is 8 points, so each edge of the cube is 8 points long. 6(8)^2 = 384, so your answer is C.
The second one/ the option b
Answer:
7.878 ft far
Step-by-step explanation:
Given:
- A ramp is to be lifted to an angle Q = 10 degrees
- The total length of the ramp L = 8 ft
Find:
- how far does the ramp need to be away to hit the edge of the step
Solution:
- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.
- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:
cos(Q) = d / L
d = L*cos(Q)
- Plug in values:
d = 8*cos(10)
Answer: d = 7.878 ft
Answer:
(7-4i)+(-2+5i) = 5 + i
Answer = 5 + i
Step-by-step explanation:
Group the real part and the imaginary part of the complex number
( 7 - 4i ) + (-2 + 5i )
= ( 7 - 2 ) + ( -4 + 5 ) i
Refine = 5 + i
