Based on the measures
provided in the diagram,
determine the measure of
the angle 0
(You may assume that point A is the
center of the circle and that DC is a
diameter.)
O 40°
O 50⁰
O 45⁰
1000

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

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Answer:

⇒ [tex]\frac{21}{2}[/tex]

or

⇒ [tex]10 \frac{1}{2}[/tex]

Step-by-step explanation:

3 3/4 = 15/4

2 4/5 = 14/5

⇒[tex](\frac{15}{4} *\frac{5}{5} )(\frac{14}{5} *\frac{4}{4} )[/tex]

⇒[tex]\frac{75}{20} *\frac{56}{20}[/tex]

⇒[tex]\frac{4200}{400}[/tex]

⇒ [tex]\frac{21}{2}[/tex]

or

⇒ [tex]10 \frac{1}{2}[/tex]

Answer:

a negative linear association (C)

Re-Written Problem [Formatted]

Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?

Numbers of players on team are going to be 1, 2 , 3, 4, 5.

time taken to complete game (in minutes) 32, 26, 20, 14, 8

(Select the correct answer)

A. Positive linear association

B. Exponential relationship

C. Negative linear association

D. No relationship

----------------------------------------------------------------------------------

Step-by-step explanation:

Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)

[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]

So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.

So, you would see a negative line, showing a negative linear association.

Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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The number of students that were absent is; 24

Let the total number of students be x .

The number of students which were absent = ¹/₃x.

Number of students which were present = ²/₃x

Thus;

Number of students who attended math's test = ¹/₂x

Number of students who attended physics test = ¹/₄x

No. of students who attended both tests = 6

A denotes number of students who attended math's test

B denotes number of students who attended physics test

Thus;

n(A) = ¹/₂x

n(B) = ¹/₄x

n(A ∩ B) = 6

n(A∪B) = number of students which were present

Thus;

n(A ∪ B) = n(A) + n(B) − n(A∩B)

²/₃x = ¹/₂x + ¹/₄x − 6

²/₃x = ³/₄x - 6

³/₄x - ²/₃x = 6

x = 72

Thus, number of students that were absent = ¹/₃ * 72

Number of students that were absent = 24

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Answer:

A.

Step-by-step explanation:

the correct answer is A. y=|x-2|+3.

For more details see the attachment.

Answer: 2041 meters

A bicycle wheel is a circular object.

The circumference of a circle is 2π(radius)

Here given:

Hence find the length for each revolution:

Then for 1000 revolutions:

Answer:

X=60°

Step-by-step explanation:

Because the sum of angle of all side of a triangle is 180°

and

if that goes on

the equation become

x°+75°+45°=180°

x°+120°=180°

x°=180°-120°

x°=60° hence prove

Answer:

135

Step-by-step explanation:

3b + B = 180

4b = 180. ÷4

b = 45

a = 135

change in emitter current, ∆l(E) = 4 mA

change in collector current,∆I(C) = 3.5 mA

value of B

∆I(E) = ∆I(C) + ∆l(B), here ∆l(B) is the change in base current.

4 = 3.5 + ∆l(B)

∆I(B) = 0.5 mA

B = 3.5 ÷ 0.5

B = 7.0

Answer:

x = 2

Step-by-step explanation:

Answer:

1298 mi

Step-by-step explanation:

In 5 hours, a jet would travel 5 times the distance that it would if it were to travel for one hour. This means that 590 is five times the distance of one hour. So, 590 divided by 5 is 118, so the jet travels 118 miles in one hour(this is basically the speed).

We can do the reverse to find how far it can travel in 11 hours given the jet travels 118 miles an hour. Using the same logic, the jet would travel 118 in each of the 11 hours, which is 118 x 11: 1298 mi.

Answer:

(2,0)

Step-by-step explanation:

The intersecting points of the two lines is the solution for the two equations.

(2,0) is the solution.

Answer:

[tex]x=2/7695[/tex]

≡ Small number, yes, but the steps explain why x is equal to this.

Step-by-step explanation:

simplify

[tex]24x\cdot 321-x=8x+2\\\left(24\cdot 321\right)x-x=8x+2\\7703x=8x+2[/tex]

group

[tex]7703x=8x+2\\7703x-8x=8~x+2-8x\\7695x=8x+2-8x\\7695x=8x-8x+2\\7695x=2[/tex]

isolate

[tex]7695x=2\\\frac{7695x}{7695}=\frac{2}{7695}\\x=\frac{2}{7695}[/tex]

The fraction is in its simplest form, so that is the final answer.

Answer:

Step-by-step explanation:

Let ∠A and ∠B and ∠C.

be the three interior angles of the triangle.

∠A + ∠B + ∠C = 180

If ∠A = 68  and  ∠B = ∠C .

Then

∠B + ∠C = 180 - 68 = 112

Then

2∠B  = 112

Then

∠B = 112 ÷ 2 = 56°

Answer:

Place the squares on the rectangle.

Step-by-step explanation:

Hello!

The area of the 1cm by 1cm square is 1 square cm.

We can solve for the area by placing multiple of those squares in the larger rectangle.

If we place it, we get 15 placed squares, with a total area of 15 square cm. This relies on the meaning of area, as we are simply measuring the number of square cm taken up by the object.

We would place 3 rows of 5 squares, representing a height of 3 cm (side length of 3 squares), and a length of 5 cm (side length go 4 squares).

This also proves the area formula A = L * W, as we multiple the side lengths to find the number of square units.

Answer: 920.3 ft

Step-by-step explanation:

[tex]\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}[/tex]

Answer:

x²-12x+36

x²-6x-6x+36

x(x-6)-6(x-6)

(x-6)(x-6)

=(x-6)²

Answer:

D

Step-by-step explanation:

i just took a test with that question

Answer:

El número equivalente de 25/50 es 1/2

Step-by-step explanation:

Q1 = 7, Q2 = 10, Q3 = 13.5

=============================================================

Explanation:

Start with {5,7,7,8,10,11,12,15,17}

Notice how this data set is already sorted for us from smallest to largest.

Cross off the first and last items to get {7,7,8,10,11,12,15}

Repeat the last step to get this smaller set {7,8,10,11,12}

Repeat again: {8,10,11}

Repeat one more time: {10}

The 10 is at the very center, so it is the median aka the value of Q2.

-------------

An alternative way to get the median is to follow these steps:

There are n = 9 numbers in the original set before we crossed off any items. The middle number is in slot 5 because n/2 = 9/2 = 4.5 rounds up to 5. The value in the fifth slot is 10, so 10 is the median.

There are 4 items below the median and 4 items above it, giving n = 4+1+4 = 9 items total.

-------------

Next, break the data set into two smaller groups

L = lower set = every value below the median

L = {5, 7, 7, 8}

U = upper set = every value above the median

U = {11, 12, 15, 17}

The median itself is in neither set L nor set U.

The median of set L is (7+7)/2 = 7, so this is the value of Q1

The median of set U is (12+15)/2 = 13.5 which is the value of Q3

-------------

Summary:

Q1 = 7

Q2 = 10 (aka the median of the original set)

Q3 = 13.5

Answer:

B. Q1=7, Q2=10, Q3=13.5

Step-by-step explanation:

First Solution:

The first quartile of the data set is 7.

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

5   7   7   8   10   11   12   15   17  

So, the bottom half is

5   7   7   8  

The median of these numbers is 7.

Second Solution:

The median of the data set is 10.

Quartile 2, also known as the median, is the middle number in a sorted list of numbers.   So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

5   7   7   8   10   11   12   15   17  

So, the median is 10 .

Third Solution:

The third quartile of the data set is 13.5.

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

5   7   7   8   10  11   12   15   17  

So, the upper half is

11   12   15   17  

The median of these numbers is 13.5.

Answer:

(-∞,19)

Definition: The domain of a function is the set of input or argument values for which the function is real and defined

Answer:

(-∞, 19]

Step-by-step explanation:

The domain of this function is only true for all real values of f(x).

That means the lower limit of the function is -∞ as the values are positive, and the upper limit is 19, because that is the greatest value it can become before becoming negative.

The domain is : (-∞, 19]

∠72

Step-by-step explanation:

Therefore Two sides will be equal

∠b = ∠c ------ ☆

=> ∠b = 2∠a

=> ∠a = ∠b/2 -------(1)

=> ∠a + ∠b + ∠c = 180

Put value of ∠a from equation (1)

=> ∠b/2 + ∠b + ∠b =180

[ look equation marked - ☆ ]

=> 5∠b/2 = 180

=> 5∠b = 180 × 2

=> 5∠b = 360

=> ∠b = 360 / 5

=> 72

Some properties of Triangle-

Answer:

81

Step-by-step explanation:

for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81

Answer: B 3.0

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because it is 4 dolls and x is the amount of dollars 1 doll is and 4x dolls are less then 102, the only answer that makes sense is b

The answer is B. I will choose to explain by process of elimination. It is not A because it is not less than or equal to, it is just less than. Therefore, we can also eliminate C. It is not D because it is four dolls that cost the same so it is 4x instead of 4+x. I hope I helped!

Answer:

Kite is not a parallelogram

Step-by-step explanation:

The sides aren't evenly lined up properly to be a parallelogram

ANSWER:

kite

STEP BY STEP EXPLANATION

A kite isnerally not a parallogram because it is a quadrilateral whose four sided can be grouped into two pairs of sideame length that arch other