Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Answer:
754
Step-by-step explanation:
If the number in the one's place is 5 or greater, the number is rounded up to the next ten. If the number is less than 5, the number gets rounded down.
754 is the answer because it rounds down to 750 as it is, but if 1 was added to it, it'd be 755 which would round up to 760.
Answer:
180
Step-by-step explanation:
So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.
I hope this helps.
Answer:
30
Step-by-step explanation:
100% of 15 is 15
200% is 15 + another 100% (15)
15+15 = 30
You can use the sin function to solve this.
Think of a triangle with the conveyor being the longest side (hypotenuse). The height (the vertical side) is H=17m. The angle of elevation is a=36.2. We are looking for length of the hypotenuse, L.
The sin is the ratio of height to hypotenuse: sin(36.2) = H/L = 17/L
Now solve for L:
L = 17/sin(36.2) = 17m/0.59 = 28.78m
The conveyor needs to be approx. 28.8m long to get close to the max. efficient angle.