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Marina CMI [18]
2 years ago
11

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a

gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Mathematics
2 answers:
daser333 [38]2 years ago
7 0
<span>Because5/3 >3/2 , the slope of the climbing equipment at the gym is greater.</span>
Dahasolnce [82]2 years ago
5 0

Answer: The comparison is mentioned below.

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

m_1=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, m_2=  10/6 = 5/3=1.67 (approx)

Since, m_1<m_2

Thus the slope of equipment first is less than slope of second equipment.


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If sin theta = sqrt(2/2), which could not be the value of theta?
Nataliya [291]

The solution would be like this for this specific problem:

sin(θ°) = √(2)/2 

θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° − sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ 

360°*0 + 45° = 45° 
360°*0 + 135° = 135° 
360°*1 + 45° = 405° 

<span>sin(225°) = -√(2)/2

</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta cannot be 225 degrees.

4 0
2 years ago
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If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).

Bozeman = 27,509·1.0196^t
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2 years ago
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Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
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The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

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Let us convert all figures into decimals so that we can compare them easily.

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