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Mila [183]
4 years ago
13

Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals

in simplest form. u= n=_____square root________

Mathematics
1 answer:
Lelu [443]4 years ago
6 0

Answer:

A. v = 19√3.

B. u = 38.

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 60°

Adjacent = 19

Opposite = v

Hypothenus = u

A. Determination of the value of 'v'

The value of v can be obtained by using Tan ratio as shown below:

Angle θ = 60°

Adjacent = 19

Opposite = v

Tan θ = Opposite /Adjacent

Tan 60 = v/19

Cross multiply

v = 19 × Tan 60

Tan 60 = √3

v = 19 × √3

v = 19√3

Therefore, the value of v is 19√3

B. Determination of the value of 'u'

The value of u can be obtained by using cosine ratio as shown below:

Angle θ = 60°

Adjacent = 19

Hypothenus = u

Cos θ = Adjacent /Hypothenus

Cos 60 = 19/u

Cos 60 = 1/2

1/2 = 19/u

Cross multiply

u = 2 × 19

u = 38

Therefore, the value of u is 38.

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pentagon [3]

Answer: -2

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7 0
3 years ago
In 2013, the Pew Research Foundation reported that "45% of U.S. adultsreport that they live with one or more chronic conditions"
PolarNik [594]

Answer:

b) True , this is right. But this is not for 1000 alone for any sample size of large number randomly drawn we can expect 95%

Step-by-step explanation:

Given that in 2013, the Pew Research Foundation reported that "45% of U.S. adults report that they live with one or more chronic conditions", and the standard error for this estimate is 1.2%

Let us check one by one answers given

a) False.  Because we can say 95% or 90% confident only that the true percent of US adults cannot be true.

b) True , this is right. But this is not for 1000 alone for any sample size of large number randomly drawn we can expect 95%

c) False this does not give whether less than 50% or not unless we know the confidence interval range.

d) False, std error is a measure of variation of all the items from the mean.

8 0
4 years ago
Imani's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 7
Arte-miy333 [17]

Answer:

$8 for Senior Citizens

$12 for Students

Step-by-step explanation:

Let C be the price of a senior citizen ticket

Let S be the price of a student ticket.

We are told that, on the first day, that:

7C + 4S = $104

On the second day:

7C + 1S = $68

We have 2 equations and 2 unknowns.  Rearrange either equation to express one of the unknowns in terms of the other

For example:

7C + 1S = $68

S = $68 - 7C

Now use this value of S in the other equation:

7C + 4S = $104

7C + 4($68 - 7C) = $104

7C + $272 - 28C = $104

-21C = - $168

<u>C = $8 for a Senior Citizen ticket</u>

We can use C = $8 in either equation to find S.

S = $68 - 7C

S = $68 - 7($8)

S = $12

<u>Student tickets are $8 each</u>

=====

See if these values work in the original equations:

1.  7C + 4S = $104

    7($8) + 4($12) = $104   ?

    $56 + $48 = $104      <u>YES</u>

2.  7C + 1S = $68

     7($8) + 1($12) = $68    ?

      $56 + $12 = $68       <u>YES</u>

7 0
2 years ago
What is more 4/5 or 0.71 and what is more 1.2 or 1 and 2/9
Westkost [7]
Which is more 4/5 or 0.71? Because decimals are usually easier to read, convert the 4/5 to a decimal. To do this, divide the numerator by the denominator. 4 / 5 = 0.8. 

0.8 is bigger than 0.71. So, 4/5 is definitely bigger than 0.71.

But what about 1.2 and 1 2/9? Again convert 1 2/9 to a decimal.

2/9 = 1.222...

And 1.222 repeating is bigger than 1.2
8 0
3 years ago
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Harman [31]

Answer:

L-M-F-A-O-A-O-A-O-A SHERSI LOOK AT YOU CHEATING BYE- IM DONE

Step-by-step explanation:

7 0
3 years ago
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