The area of a shape is the amount of space it can occupy.
- <em>The same hallway be painted with the same pattern, but using twice as much black paint as white paint</em>
- <em>The length of the hallway is 40 feet</em>
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From the complete question (see attachment), the length of the white area is:
The width is:
So, the area of the white segment is:
The length of the black area is:
The width is:
So, the area of the black segment is:
So, their areas are:
--- white area
--- black area
<u>The paints</u>
The equation is given as:
Substitute the areas
Collect like terms
Divide both sides by 36
Because x has a positive real value, then the <em>same hallway be painted with the same pattern, but using twice as much black paint as white paint</em>
<u>Length of the hallway</u>
To calculate the length of the hallway, we simply equate both areas;
Collect like terms
Divide both sides by 6
So, the length of the hallway is the sum of the following lengths:
So, we have:
Substitute 4 for x
So, the length of the hallway is 40 feet
Read more about areas at
brainly.com/question/5688437
Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The picture is the complete question.
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
Answer:
D. The function approaches 1 as x approaches -infinity and infinity
Step-by-step explanation:
Step 1: Divide numerator and denominator by :
Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1
First find the measure of x.
12x + 3x = 90
15x = 90
x = 6
Plug in x into ∠PVQ, which is 12x.
12(6) = 72
m∠PVQ = 72°
Answer:
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