The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box
The matter has three main states which are
These states define the way we interact and manipulate materials. For instance:
- Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
- Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
- Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.
According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.
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Answer:
Length = 45 inches and Width = 20 inches
Step-by-step explanation:
Let the width be w.
Length(l)=2.25w
Area = 900 in^2
The formula for the area of a rectangle is Area = length * width
So substituting our values we get:
So we get width = 20 inches
Length = 2.25w
so Length= 2.25*20
=45 inches
Answer:
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = $560
Step-by-step explanation:
Given that :
Total rental cost for all 3 condos = $1240
Let :
I bedroom condo = b
2 bedroom condo = c
3 bedroom condo = 2b
Hence,
b + c + 2b = 1240
3b + c = 1240 - - - (1)
REPAIR COST :
Total repair cost = $276
1 bedroom = 10% of b = 0.1b
2 bedroom = 20% of c = 0.2c
3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b
Hence,
0.1b + 0.2c + 0.6b = 276
0.7b + 0.2c = 276 - - - (2)
From (2)
0.7b + 0.2c = 276
0.7b = 276 - 0.2c
b = (276 - 0.2c) / 0.7
Substitute b = (276 - 0.2c) / 0.7 into (1)
3(276/0.7 - 0.2c/0.7) + c = 1240
1182.8571 - 0.8571428c + c = 1240
1182.8571 + 0.1428571c = 1240
0.1428571c = 1240 - 1182.8571
0.1428571c = 57.1429
c = 57.1429 / 0.1428571
c = 400
3b + c = 1240
3b + 400 = 1240
3b = 1240 - 400
3b = 840
b = 840/3
b = 280
Hence,
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = 2(280) = $560
Answer:
$15.00
A $10.00 and a $5.00 dollar bill
Step-by-step explanation:
Answer:
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Step-by-step explanation:
The equation for the volume of a pyramid of base area B and height h is
V = (1/3)·B·h. Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown. First we find the height of this pyramid, and then the slant height.
V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.
Now to find the slant height of this pyramid: That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).
Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
