Answer:
Step-by-step explanation:
40a²b = 2* 2 * 2 * 5 * a² * b = 2³ * 5 * a² * b
48ab⁴ = 2 * 2 * 2 * 2 * 3 * a *b⁴ = 2⁴ * 3 * a * b⁴
LCM = 2⁴ * 3 * 5 * a² * b⁴
= 16 * 3 * 5 * a² * b⁴
= 240a²b⁴
We know 15 minutes contain 15*60 = 900 seconds, the time for 85 blinks
Then the time for each blink t = 900/85
Time elapsed in seconds for 51 blinks is then 51*t = 900*51/85 = 540 seconds
Add them up!
0.590 mm
0.127 mm
+0.300 mm
_______
1.17 mm
Answer:
2nd statement
3rd statement
4th statement
Step-by-step explanation:
The 2nd statement we know is true since the container was already described with a rectangular pyramid and a rectangular prism.
The 3rd statement is true since the volume for a rectangular prism is,
V=wlh or V=bh (b=wl)
The volume of a rectangular pyramid is
V=1/3*wlh or V= 1/3*bh (b=wl)
The 4th statement is true since the formula for the volume of this container is V=wlh+wlh/3. So substitute the values of the rectangular prism and rectangular pyramid and,
V=10*18*12+(18*10*10)/3
V=2160+1800/3
V=2160+600
V=2760
