1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
D= diagonal= 25 in
w= 15 in
A= w√(d^2﹣w^2)
A= (15)√(25^2 - 15^2)
square in parentheses
A= (15)√(625 - 225)
subtract in parentheses
A= (15)√(400)
take square root of 400
A= (15)(20)
A= 300 in^2
ANSWER: The area is 300 inches squared
Hope this helps! :)
Answer:
The final angle is 50
Step-by-step explanation:
All quadrilaterals have interior angles that add up to 360. So we can subtract these numbers from 360 to get the final angle.
360 - 90 - 100 - 120 = 50
Answer:
The distance between F and A is approximately 6.71 units.
Step-by-step explanation:
To find the distance between any two points, we can consider using the distance formula. Recall that:
Let F(-2, 1) be (<em>x</em>₁, <em>y</em>₁) and A(4, -2) be (<em>x</em>₂, <em>y</em>₂).
Substitute and evaluate:
In conclusion, the distance between <em>F</em> and <em>A</em> is approximately 6.71 units.
