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Ilia_Sergeevich [38]
3 years ago
11

Normal form question

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

we know that

the x-intercept is when the y-coordinate is equal to zero

let

A (x,0)------> the x-intercept of the line l

the y-intercept is when the x-coordinate is equal to zero

let

B (0,y)------> the y-intercept of the line l

let

C (0,0)----> the origin

slope BA is equal to

mBA=(y2-y1)/(x2-x1)-------> mBA=(y-0)/(0-x)------> mBA=-y/x

in the right triangle ABC

tan ∅=opposite side angle ∅/adjacent side angle ∅

opposite side angle ∅=y

adjacent side angle ∅=x

so

tan ∅=y/x

see the attached figure to better understand the problem

therefore

the answer is the option D

tan ∅

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Anvisha [2.4K]

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represents sugar to cinnamon for three batches of filling

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Each batch of filler

2 tablespoons of sugar per teaspoon of cinnamon for the filling

2:1

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4 0
1 year ago
An urn contains balls numbered 1 through 20. A ball is chosen, returned to the urn, and a second ball is chosen. What is the pro
stira [4]
<h2>Answer:</h2>

The probability is:

                   \dfrac{1}{400}

<h2>Step-by-step explanation:</h2>

It is given that:

An urn contains balls numbered 1 through 20.

A ball is chosen, returned to the urn, and a second ball is chosen.

This means that this is a case of a replacement.

Hence, one of the event is independent of the other.

Now we know that the probability to get a particular number of ball is:

                  \dfrac{1}{20}

( Since, there are total 20 balls and a ball of one particular number is just unique )

i.e. \text{Probability of getting a 8}=\dfrac{1}{20}

Hence, the probability that the first and second balls will be a 8 is:

=\dfrac{1}{20}\times \dfrac{1}{20}\\\\\\=\dfrac{1}{400}

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4 years ago
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Referring to the figure, find the unknown
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Answer:

19

Step-by-step explanation:

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Given the position of x, we know it is a leg and must be equal to the other leg, which is 19.

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Consider that 620(1.082)x models the average annual health care costs per person, in dollars, as a function of the number of yea
max2010maxim [7]

Answer:

I guess that you want to calculate the difference between the annual healt care costs in 1950 and today.

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in 1950, we have x = 0 (because is the initial year)

then the cost is:

C(0) = $620*1 = $620.

Now, today, in 2020, we have:

x = 2020 - 1950 = 70

then we have:

C(70) = $620*(1.082)^70 = $154,276.7

So, according to this equation, te difference is:

$154,276.7 -  $620 = $153,656.6

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