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4 years ago

Pattern A starts at 20 and has the rule 'subtract 2 Pattern B starts at 20 and has

Mathematics

1 answer:

Ksenya-84 [330]4 years ago

6 0

Answer:

The correct option is C.

Step-by-step explanation:

The two patterns are defined as follows:

Pattern A starts at 20 and has the rule 'subtract 2'.
Pattern B starts at 20 and has the rule 'subtract 1'.

Form the two patterns as follows:

Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The first several terms of Patterns A and B are shown by:

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Thus, the correct option is C.

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Answer:

$1.50

Step-by-step explanation:

12÷8=3/2 or 1.50

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4 years ago

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3 years ago

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4 years ago

Find sin θ and cos θ if tan θ= 1/4 and sin 0>0.

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Answer:

$\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}$

$\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }$

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

$h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}$

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

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3 years ago

Assume that the cost to produce an item is a linear function and all items produced are sold. A lumber yard has fixed costs of $

V125BC [204]

Answer:

2028 ft

Step-by-step explanation:

Let the feets of boards sold to get profit be x hence with the price of $1.13 which is inclusive of profit, the total sales will be 1.13 x

The cost per day will equally be the sum of variable cost which considers the feets of boards and the daily fixed charge. Considering the variable of $0.03 and fixed charge of $2230.80 then the equation is represented as 0.03x+2230.80

Relating the two equations then

1.13x=0.03x+2230.80 and rearranging like terms

1.13x-0.03x=2230.80

1.1x=2230.8

X=2230.8/1.1=2,028 ft

Therefore, to maximize daily profit, 2028 ft must be sold

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3 years ago