of the 1000 students in a local college ,

Answer:

Step-by-step explanation:

CD = 4sin30 = 4(1/2) = 2

∠BDC = 180 - 90 - 60 = 30°

BDcos30 = CD = 2

BD = 2/cos30 = 2/ (½√3) = 4/√3 = (4/3)√3

another way to do it would be

∠BDC = 180 - 90 - 60 = 30°

∠ADC = 180 - 90 - 30 = 60°

therefore

∠BDA = 60 - 30 = 30°

We can see the upper triangle is an isosceles triangle where lengths AB = BD and the angle between them is 180 - 30 - 30 = 120°

Using law of Sines

4/sin120 = BD/sin30

BD = 4sin30/sin120 = 4(½)/(½√3) = 4/√3 = (4/3)√3

or we could use the law of Cosines

c² = a² + b² - 2abcosC

BD² = AB² + 4² - 2(AB)(4)cos30

BD = AB = x

x² = x² + 4² - 2(x)(4)cos30

0 = 4² - 2(x)(4)cos30

4² = 2(x)(4)cos30

x = 4²/(2(4cos30)) = 2/cos30 = 2/ (½√3) = 4/√3 = (4/3)√3

Answer:

$11 067.50 each theater

Step-by-step explanation:

879575 * 9.50 = 8355962.50 revenue total   8355962.50 / 755 = $11 067.50 each theater

Step-by-step explanation:

i dont know the answer hahahahhahahhahahahah

Answer:

-3/1-x

Step-by-step explanation:

the answer is up look at it

due to unavailability of graph I sketched a rough diagram so hope this ans. helps you dear....take care!

Answer:

i think you just times it im not sure

The given fraction in the ratio of same unit will be equal to 5/9.

Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion. Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the given information in the question,

5 yards: 27 feet

Let's convert them into the same unit.

1 yard = 3 feet

Then,

5 feet = 5 × 3 = 15 feet

Then, the ratio will be,

=15:27

Divide both of them by 3.

= 5:9

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Answer:

B is the correct answer. I just took the test :))

Step-by-step explanation:

Option B is correct, Divide R₂ by 2 and R₃  by 3 is the  next step in solving this augmented matrix using the Gauss-Jordan elimination method.

In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.

To achieve this, we perform row operations on the matrix.

In the given augmented matrix:

[tex]\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right][/tex]

We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.

After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right][/tex]

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Answer:

no

Step-by-step explanation:

x × 20 = 80

x = ?

x = 80 ÷ 20

x = 4

x = 4 ✔️

[tex]\large \color{red}\boxed{\bf Answer:}[/tex]

x × 20 = 80

20x = 80

x = 80÷20

x = 4

Answer:

the measure of the central angle of a regular nonagon is 40 degrees.

Answer:

Nancy gets more, she gets 252 while George gets 168.

Step-by-step explanation:

420÷5=84

168:252

George:Nancy

Answer:

que esta since riheeeee

9514 1404 393

Answer:

  0, 4, 8

Step-by-step explanation:

As you have noticed, the difference between the end values of x is 20-4 = 16, and the differences in each interval are 4.

The difference between the end values of y is 12 -(-4) = 16, so the differences in each interval will also be 4.

The missing table values are 0, 4, 8. The completed table is ...

  [tex]\begin{array}{cccccc}x&4&8&12&16&20\\y&-4&0&4&8&12\end{array}\right][/tex]

Answer:

70x + 5y = 805

Step-by-step explanation:

Textbooks = X

Notebooks = Y

Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

The probability that the mean of this sample is less than 105.4 is 14.46%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean,n\ is\ sample\ mean\\\\\\Given\ that\ \sigma=45,\mu=124.5,n\ =36,hence:\\\\For\ x<105.4:\\\\z=\frac{105.4-124.9}{45/\sqrt{36} }=-1.06[/tex]

From the normal distribution table, P(x < 105.4) = P(z < -1.06) = 0.1446 = 14.46%

The probability that the mean of this sample is less than 105.4 is 14.46%

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Answer:

x = 7 and y = -8      ordered pair is (7, -8)

Step-by-step explanation:

0.1x + 0.3y = - 1.7

0.3x - 0.5y = 6.1

Solving the first equation for x    0.1x = -0.3y - 1.7

                                                     0.1x/0.1 = -0.3y/0.1 - 1.7/0.1

                                                          x = -3y - 17

Substitute into the second equation.

0.3(-3y - 17) - 0.5y = 6.1

 -0.9y - 5.1 - 0.5y = 6.1

-1.4y - 5.1 = 6.1

-1.4y = 5.1 + 6.1

-1.4y = 11.2

     y = 11.2/-1.4

     y = -8

     Substitute y into the first  equation and solve for x

               x = -3y - 17

                x = -3(-8) - 17

                x = 24 - 17

                x = 7              

Answer:

m= -5/-3 (:

Step-by-step explanation:

Answer: -103

Step-by-step explanation:

substitute in the value of B

12+23(-5)

multiply 23 and -5 together

12-115

solve

-103 is the answer

Answer:

-103

Step-by-step explanation:

Answer:

Hope this helps.

Step-by-step explanation:

When measuring for floor tile the rule is:

Length x Width + Waste = Amount Needed

Waste Factor will vary based upon tile size, layout, configuration of room, patterns, etc. Typical waste factor is about 10%. Add 15% for tile being installed diagonally or for a room with lots of jogs and corners. These installations will require more cuts and thus more waste.

In a triangle the sum of two sides is always greater than the third side.

9-9 < x < 9+9

0 < x < 18 ← answer

I think the car travels 4 meters more then the bus

Step-by-step explanation:

Distance traveled by bus in one second=414.23=18 meter. The Car travels faster. It travels 4 meters more in one second than the Bus.

Answer: WHERE IS THE DIAGRAM

Answer:

2. 20-40

3. x=86, y=94, z=66

Answer:c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

y=5x-11 is the equation of the required line

Answer:

These are some examples of recurring decimals.

Definiton:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.