A red candle is 11 2/5 inches tall. The label claims that the candle will melt 1 1/8 inch every hour it burns. If the label is correct, for how many hours will the candle burn?
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Related Questions
A security system sales manager conducts a survey that includes this question. Pick the best description of this survey question.Due to the recent increase in burglaries, how likely are you to install our security system?A. The survey question is worded in a way that doesn’t introduce bias.B. It should be reworded as a “yes or no” question to avoid bias.C. This is a sensitive question because it relates to privacy and security.D. It influences the respondent to say they are likely to install the security system.
Jimmy is going to pack his backpack for a trip. His backpack is 60 cubic litres. He has a pile of equipment that takes up 43 cubic litres and then he has his sleeping bag that takes up 23 cubic litres. Let r be the amount of room left in his backpack. Which equation could you use to determine if he has enough room in his backpack.
Tom wants to tile the floor in his kitchen which has an area of 320 ft.² in the store the smallest tile he likes has an area of 1.1 square feetand the largest tile he likes has an area of 1.815 ft.² about how many tiles can be fitted in the given area
Unsaved Find the surface area of a conical grain storage tank that has a height of 46 meters and a diameter of 16 meters. Round the answer to the nearest square meter.
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Your answer would be 268.083 in.³
Answer:
the correct answer is 267.95,i took the test
Step-by-step explanation:
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Laʀc = (2πR) • (θ ⁄ 2π) = R • θ ... where θ = central angle (of sector)
Ps = R + R + (R • θ) ... perimeter of sector = Ps
Ps = R • (2 + θ) ... Ps = 100 ft
100 = R • (2 + θ)
θ = (100 ⁄ R) – 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...
Similarly, the sector area is just a fraction of the circle area:
As = (πR²) • (θ ⁄ 2π) ... area of sector = As
As = R² • θ ⁄ 2 ... substitute for θ
As = R² • [(100 ⁄ R) – 2 ] ⁄ 2
As = 50R – R² ... differentiate
As' = 50 – 2R ... set to zero
0 = 50 – 2R
R = 25 ft ... optimum radius
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...
As = 50R – R² ... evaluate at: R = 25 ft
As = 50(25) – (25)²
As = 625 ft² ... maximum area
Note ... at any other R_value, the sector area is less.
" θ " can be determined using: θ = (100 ⁄ R) – 2
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Final answer:
For a circular sector with a fixed perimeter of 100 ft, the values of radius (r) and arc length (s) that will maximize the sector's area are r=25 and s=50.
Explanation:
The perimeter of a circular sector is composed by the length of the arc (s) plus twice the radius (r). If this sum is fixed at 100 ft, then the length of the arc s is equal to 100 - 2r. The area A of a circular sector can be defined as A = 0.5 * r * s.
Substituting the expression for s into the area formula obtains A = 0.5 * r * (100-2r). Simplifying results in A = 50r - r^2 which is a downward opening parabola.
The maximum value of a parabola occurs at the vertex. For a parabola in the form y=ax^2 + bx + c, the x-coordinate of the vertex is -b/(2a). In this case, a=-1 and b=50, hence r=-50/2*(-1) = 25. Substituting r=25 back into the formula for s obtains s = 100-2*25 = 50. Therefore, the values for r and s that will give the circular sector the greatest area are r=25 and s=50.
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4x+(5x+3)=9x+3
a+b=b+a
Multiplicative Inverses
Additive Inverses
Commutative property of Addition
Distributive Property
Associative Property of Addition
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For the equation:
5(8+3)=5*8+5*3
The property is
Distributive Property
For the equation:
4x+(5x+3)=9x+3
The property is
Commutative property of Addition
For the equation:
a+b=b+a
The property is
Associative Property of Addition
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The height of the cylinder is 7 centimeters. The volume and radius of the cylinder were used to find the height using the formula for the volume of a cylinder.
The formula for the volume of a cylinder is given by V = πr²h, where r is the radius and h is the height.
Substituting the given values, we get:
112 = π(4²)h
Simplifying:
112 = 16πh
Dividing both sides by 16π:
h = 112 / (16π)
Using a calculator to evaluate this expression, we get:
h ≈ 0.55 cm
Therefore, the height of the cylinder is approximately 0.55 centimeters.
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15
18
20
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So first let's plug in 13. 7*13+8=99
Now 15. 7*15+8=113
Now 18. 7*18+8=134
Lastly 20. 7*20+8=148
The answer is 13.
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Answer: 60 and 600
Step-by-step explanation:
The pattern is times 10
6x10=60 60x10=600
Final answer:
The number pattern multiplies each subsequent number by 10. Thus, the next two numbers in the sequence 0.006, 0.06, 0.6, and 6 are 60 and 600.
Explanation:
The question asked is related to a number pattern - specifically, it's about identifying the next two numbers in the series 0.006, 0.06, 0.6, and 6. Looking at this series, we can see a pattern: each subsequent number appears to be 10 times larger than its predecessor.
To get the next number in the series, we multiply the previous one by 10. So, if we multiply 6 by 10, we get 60. Therefore, 60 is the next number in the pattern.
Following this pattern, the number after 60 would be 10 times greater, which is 600. Therefore, the next two numbers in the series after 0.006, 0.06, 0.6, and 6 are 60 and 600.
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