The length of rectangle is 45 inches and width is 5 inches.
Step-by-step explanation:
Given,
Perimeter = 100 inches
The ratio of length and width = 9:1
It means that 9 times of any number and 1 times of any number will be the original length, therefore,
Let,
x be the that number.
Length = 9x
Width = 1x
Perimeter = 2(Length+width)

Dividing both sides by 20

Length = 9x = 9*5 = 45 inches
Width = x = 5 inches
The length of rectangle is 45 inches and width is 5 inches.
Keywords: rectangle, perimeter
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Answer:
A) (the first data set)
Step-by-step explanation:
It is the only one that has enough numbers to be represented by the histogram
Answer:
2 11/32 or 75/32
Step-by-step explanation:
2 3/8 - 1/4 x 1/8= 2 3/8 - 1/32= 19/8- 1/32= 76/32 - 1/32= 75/32= 2 11/32
The liters in the tank when it is filled to a height of 3.70 is 5,580 liters
The liters that needs to be added to 100% capacity is 480 liters
<h3>What is the volume?</h3>
A right circular cone is a three dimensional object has a flat circular base that tapers to a vertex. The volume of a right circular cone is the amount of space in the right circular cone.
Volume of a cone = 1/3(πr²h)
Where:
- π = pi = 3.14
- r = radius
- h = height
Volume of the right circular cone when its filled to a height of 3.70 = 1/3 x 3.14 x 3.70 x 1.20² = 5.58 m³
5.58 x 1000 = 5,580 liters
Volume of the right circular cone when it is full = 1/3 x 3.14 x 4 x 1.20² = 6.03 m³
6.03 x 1000 = 6030 liters
Liters that needs to be added to 100% capacity = 6030 liters - 5,580 liters = 480 liters
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Answer: 57.8512 feet (approx)
Step-by-step explanation:
Let h be the height of the stone face.
The angle of elevation from one sight to the bottom of face that is 750 feet far from the base of the mountain is 33°
⇒ The distance of the base of the stone face from the base of the mountain = 
The angle of elevation from another sight to the top of face is 36° that is also 750 feet away from the base of the mountain,
Therefore,
The distance of the top of the stone face from the base of the mountain = (h + 487.055694898) feet
By the trigonometry,



Therefore, the height of the stone face is 57.8512 feet (approx).