Answer:
x ≈ 1.8 cm gives the greatest volume
Step-by-step explanation:
After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...
V = x(12 -2x)(10 -2x)
The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.
The chart relating to the question can be found in the picture attached below :
Answer:
40%
Step-by-step explanation:
Yoghurt __________ No of responses
Low Fat ___________ 15
Greek_____________24
Whipped __________ 10
Regular ___________ 11
Total number of responses :
(15 + 24 + 10 + 11) = 60
Number of responses for Greek yogurts = 24
Percentage % :
(Greek Yoghurt responses / total responses) * 100%
= (24 / 60) * 100%
= 0.4 * 100%
= 40%
Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Hence proved.
Answer:
It will take weeks to recycle a total of 45 kg of paper
Step-by-step explanation:
W represents the number of weeks the office has been on the new recycling plan
P represents the total kilograms of paper recycled.
It took weeks to recycle P kilograms of paper = W
It took weeks to recycle 1 kilogram of paper =
It took weeks to recycle 45 kilograms of paper =
Hence It will take weeks to recycle a total of 45 kg of paper