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arlik [135]
3 years ago
14

What is the length is PR? ____ units Triangle angles 5n and 32+ n 40 units

Mathematics
2 answers:
Mila [183]3 years ago
6 0

Answer:

40 units

Step-by-step explanation:

sukhopar [10]3 years ago
4 0
We know that
applying the law of sines
5n/sin Q=(32+n)/sin P
but
sin Q=sin P
then
5n=(32+n)-----------> 5n-n=32--------> 4n=32----------> n=32/4-----> n=8

PR=5n--------> PR=5*8--------> PR=40 units
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A 96 ounce container of orange juice cost $4.80 at what price should a 128 ounce container be sold in order for the unit rate fo
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It is $0.05 per ounce, so at that rate, a 128 oz container would cost $6.40.
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3 years ago
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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
4 years ago
What is the factor of <br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%2027" id="TexFormula1" title="
Ksju [112]

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

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3 years ago
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Makovka662 [10]
A)Add 3 and the continue to add 2 more to three each time to get the next number
B)add 1 and add one to the number one each time to get the the next number
7 0
3 years ago
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A plant can manufacture 50 golf clubs per
Mazyrski [523]

Answer:

The correct equation is "y=30x+6147". A further explanation is given below.

Step-by-step explanation:

The given values are:

(x1, y1) = (50, 7647)

(x2, y2) = (100, 9147)

As we know,

The slope is,

⇒ m=\frac{y2-y1}{x2-x1}

On substituting the given values, we get

⇒     =\frac{9147-7642}{100-50}

⇒     =\frac{1500}{50}

⇒     =30

Now,

⇒ (y-y1)=m(x-x1)

On substituting the given values in the above equation, we get

⇒ y-7647=30(x-50)

⇒ y-7647=30x-1500

On adding "7647" both sides, we get

⇒ y-7647+7647=30x-1500+7647

⇒                        y=30x+6147

3 0
2 years ago
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