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never [62]
3 years ago
12

Given right triangle GYK, what is the value of tan(G)?

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

Option D. √3

Step-by-step explanation:

In a right angle triangle tan∅ = height / Base

Height means opposite side of the angle and base is the adjacent side of the given angle.

So tan (G) = height / Base

Now we can calculate the value of tan ∅ by two ways.

1) If the sides are given.

2) By using sin/cos/tan table for the given value of the angle.

Here ∠YGK is given as 60° and we have to find the value of tan 60° then by using sin/cos/tan table we get the value

tan (G) = tan 60° = √3.

Therefore option D. is the correct answer.

Svetradugi [14.3K]3 years ago
5 0

Answer:

OPTION D (√3)

Step-by-step explanation:

By definition, the tangent of a right triangle is:

tan\alpha=opposite/adjacent

Then, you have the right triangle GYK, you can find the tan(G) as you can see below:

Find KY as following:

tan(30)=27/KY=\\KY=27/tan(30)\\KY=27\sqrt{3}

Then, you have:

tan(G)=27\sqrt{3}/27

When you simplify, you obtain:

tan(G)=\sqrt{3}

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Answer:

x-intercept(s):  ( − 8 , 0 )

y-intercept(s):  ( 0 , 2 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0 for  x  and solve for  y.

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2 years ago
Is (8, 3) a solution to the system?<br> - 2 + 4y = 4<br> - 2 + 3y = 1
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Answer:

No, it's not a solution.

Step-by-step explanation:

-2 + 4(3) = 4

-2 + 12 = 10

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3 0
3 years ago
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Answer:

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5 0
3 years ago
Read 2 more answers
Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
For a school fundraiser mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the schoo
Andreas93 [3]

Answer:

235 bracelets

Step-by-step explanation:

Mai must spend $250 on wire and $5.30 per bracelet beads. Mai creates the expression.

We are given the equation:

5.3n+ 250 to represent the cost of making n bracelets.

The maximum number of bracelets Mai can make with a budget of $1500 Is calculated as:

$1500 = 5.3n+ 250

Collect like terms

1500 - 250 = 5.3n

1250 = 5.3n

n = 1250/5.3

n = 235.8490566 bracelets.

Bracelets are created as whole numbers and they can't be in decimal form.

Therefore, the maximum number of bracelets Mai can make with a budget of $1500 is 235 bracelets.

6 0
2 years ago
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