Answer:
627200LJ
Step-by-step explanation:
Height of box=5 m
Side of square base=4 m
Volume of rectangular box=
Using the formula
Volume of rectangular box=
Density of material=
We know that
Using the formula
Mass of rectangular box=
Gravity=
Weight of rectangular box,F=
Let L be the vertical distance traveled by box
Total work done =
Therefore,total work done against gravity =
=627200 L J
Hence, the box requires work against gravity=627200LJ
Formula for area:
Area = Wide x Length
Wide: x + 5
Long: 3x - 2
Area = (x + 5) x (3x - 2)
Area = 3x² - 2x + 15x - 10
Area = (3x² + 13x - 10) square feet
Answer: The value of x= 18
Step-by-step explanation:
Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.
The sum of all angles of a triangle is 180°.
Therefore, in triangle EFG
∠E + ∠F +∠G= 180°
⇒ 8x-16 +x+8+ 2x-10 = 180
⇒ 11x-18= 180
⇒ 11x = 180+18
⇒11x=198
⇒ x= 18 [Divide both sides by 11]
Hence, the value of x= 18
Answer:
y= -2
Step-by-step explanation:
Please see attached picture for full solution.
(From the 4th to 5th line, I multiplied both sides by 8)
A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958
b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
