Answer:
40 in
Step-by-step explanation:
For a width of w, the length is 3w and the area and perimeter are ...
A = LW = (3w)(w) = 3w^2
P = 2(L+W) = 2(3w +w) = 8w
We are given the area, so we can find w to be ...
75 in^2 = 3w^2
25 in^2 = w^2 . . . . . divide by 3
5 in = w . . . . . . . . . square root
Then the perimeter is ...
P = 8w = 8(5 in) = 40 in
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Step 1: Determine the area of the black area</u>
<u>Step 2: Determine the area of the entire white and black area</u>
<u>Step 3: Determine the difference to just get the white area</u>
Answer:
Answer:
(3,0,0)
Step-by-step explanation:
3x + 5y + z = 9 --------------(I)
-4y - z = 0 -------------------(II)
z = -4y
2x + 3y - 4z = 6 (III)
Substitute z = -4y in equation (I) and (III)
3x +5y - 4y = 9
3x + y = 9 -----------------------(a)
2x + 3y - 4*(-4y) = 6
2x + 3y + 16y = 6
2x + 19y = 6 -------------------(b)
Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x
(a)*(-19) -57x - 19y = -171
(b) <u> 2x + 19y = 6 </u>
-55x = -165
x = -165/-55
x = 3
Plugin x = 3 in equation (a)
3*3 + y = 9
9 + y = 9
y = 9 - 9
y = 0
Plug in y = 0 in equation (II)
-4*0 - z = 0
z = 0