Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Answer:
D. About 800 years
Step-by-step explanation:
Use the half-life equation:
A = A₀ (½)ⁿ
where A is the final amount,
A₀ is the initial amount,
and n is the number of half-lives.
0.90A₀ = A₀ (½)ⁿ
0.90 = (½)ⁿ
To solve for n, take log of both sides:
log 0.9 = n log 0.5
n = (log 0.9) / (log 0.5)
n = 0.152
It takes 0.152 half-lives. The half-life of carbon-14 is 5730 years.
0.152 × 5730 years = 871 years
The closest answer is D.
Answer:
9.45
Step-by-step explanation:
2.70*3 = 8.10
8.10 + 1.35= 9.45
Answer:
14400 cubic inches.
Step-by-step explanation:
Let l, b and h are length, breadth and height of a cuboid respectively, then
If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.
...(i)
It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.
Substitute k=2 and V=1800 in equation (i).
Therefore, the volume of required sink is 14400 cubic inches.
Answer:
Step-by-step explanation:
The following points (coordinates) lie on a straight line with slope 3:
(1, 0), (2, 3), (3, 6), (4, 9) ... and so on
So the linear function is y = 3x + b, where b is the y-intercept.
