3 years ago

Parallelogram ABCD is rotated 45° counterckockwise using the orign as the center of rotation.

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

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What is the question asking

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What is the 101st term in the sequence 997, 989, 981, ...?

melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

$d=a_n-a_{(n-1)}\\d=989-997\\d=-8$

Then the formula for the 101st term is the shown below:

$a_n=a_1+(n-1)d$

Where:

$a_1=997\\d=-8\\n=101$

Substitute values into the formula. Therefore, you obtain:

$a_n=997+(101-1)(-8)=197$

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marysya [2.9K]

Answer:

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Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

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