Answer:
108 yd^2
Step-by-step explanation:
Please see attached picture for full solution.
Vcone=(1/3)hpir^2
base=diameter=2rdaius=6
diameter/2=3=radius
height=9.2
Vcone=(1/3)(9.2)pi(3^2)
Vcone=9.2pi3
vcone=27.6pi cm^3
aprox pi=3.141592
vcone=86.707 cm^3
round
86.7 cm^3
The expression for the perimeter of the fabric is P = 16x+20. When x=2, the perimeter is 52.
To find the expression for the perimeter of the piece of fabric, we need to determine the length of each side of the fabric. The given expression for the area of the fabric is 16x^2+40x+25. We can factor this expression as (4x+5)^2. Since a square has all its sides equal, the length of each side of the fabric is 4x+5.
The perimeter of a square is given by the formula P = 4s, where s is the length of a side. Therefore, the expression for the perimeter of the fabric is P = 4(4x+5) = 16x+20.
To find the perimeter when x=2, we substitute x=2 into the expression for the perimeter: P = 16(2)+20 = 32+20 = 52.
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The length of the smallestside is 12 ft.
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area = 240 ft²
Longest side = 20 ft
Small side = M
Now,
Area of a rectangle = Longest side x smallest side
So,
240 = 20 x M
240/20 = M
M = 12
Thus,
The smallestside is 12 ft.
Learn more about rectangles here:
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Answer: 35 liters
Step-by-step explanation:
Volume of 1 marble = 0.04 Liters
volume of 50 marbles = 50 x 0.04 liters = 2 liters
volume of water added = 33 liters ( Given)
Volume of tank = Volume of water + Volume of 50 marbles
= 33 liters + 2 liters
= 35 liters
that represents the cost of a pizza. Be sure to specify what the variables represent
An equation that represents the cost of a pizza will be C = 8 + 1.50x + 0.75y
Total cost (C) will then be:
= 8 + (1.50 × x) + (0.75 × y)
C = 8 + 1.50x + 0.75y
Therefore, the equation to represent the cost is C = 8 + 1.50x + 0.75y
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Answer: , where 'x' denotes the number of additional inch to the pizza and 'y' denotes the number of additional toppings.
Step-by-step explanation:
Let 'x' denotes the number of additional inch to the pizza and 'y' denotes the number of additional toppings.
Given : A 10-inch cheese pizza costs $8.
i.e. Fixed cost = $8
Each additional inch costs $1.50, and each additional topping costs $0.75.
∴ Cost of additional inch = $1.50 x
∴ Cost of additional topping = $0.75y
Then The Total cost of any pizza would be :
Total cost = Fixed cost + Cost of additional inch + cost of additional topping
= $8+ $1.50 x+$0.75y
⇒ Equation that represents the cost of a pizza :