Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
Answer:
Therefore the mass of the object is 56.78 kg.
Step-by-step explanation:
Mass: Mass of an object is physical property.Mass of an object can't change with respect to place.
The S.I unit of mass is Kg
But the weight of an object changes with respect to place.
Weight= mass× gravity
The gravitational force varies place to place.
For this reason the weight of an object is not constant.
The value of g is 9.8 m/s².
Unit of weight:
Weight = mass × gravity
=Kg×m×s⁻²
=N
Given, weight= 557 N , g= 9.81 m/s² and mass=?
Weight = mass × gravity
⇒557= mass× 9.81
⇒mass= 56.7787≈56.78
Therefore the mass of the object is 56.78 kg.
Answer: C. 7x/6
Step-by-step explanation: Simplify the expression.
Hope this helps you out! ☺
Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
Answer:
Easy.The answer is 406kg.
Step-by-step explanation:
58kg×7=406kg