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Answer:

Step-by-step explanation:

Method

Take the inverse Cos of both sides. That will give you the angle on the left.

From there you can solve for t

cos-1(1/11) = cos-1 cos ((2pi/3)t)

1.4798 = 2*pi*t/3                              Multiply both sides by 3/2

1.4798 * 3/2 = (2pi*t/3)*3/2

2.2196 = 2*pi*t                                 Divide both sides by 2*pi

2.2196 / (2*pi) = t

t = .3534

This was done by setting my calculator to radians. 1.4798 is a radian measure.

Answer:

(-9, -6)

Step-by-step explanation:

Rotation 90° = (x, y) --> (-y, x)

(-6, 9) --> (-9, -6)

hope this helps and is right!! p.s. i really need brainliest :)

✿————✦————✿

Answer: D

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a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                               North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Hamilton, NY Population:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                             Basel         Heights       Dagonal      Total

Population            13,244        30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Gotham City Population:

Number of seats = 16 seats

                             North         South         East         West      Total

Population               785          1,125         1,950        415       4,275

Proportion            18.36%      26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at brainly.com/question/12105335

The probability that the next customer will pay with a debit card or a credit card is 12%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer would pay with a debit card or a credit card = (number of customers that paid with a debit card + number of customers that paid with a credit card) / total number of customers

(8 + 2)/ 83 = 0.12 = 12%

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Answer: I am pretty sure it's 18 feet.

Step-by-step explanation:

Answer:

6x-3y=12

+3y

6x=3y+12

divide by 3

2x=y+4

-4

y=2x-4

Hope This Helps!!!

Answer:

Length: 17 in, Width: 12 in

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=58

4w=48

w=12, l=17

Answer:

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, According to the Question :

⠀

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]

⠀

Therefore,

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]

⠀

Therefore,

⠀

Answer:

20.1168

Step-by-step explanation:

Step-by-step explanation:

Answer:

josiahs distance from the starting line at a time when shes behind josiah

Step-by-step explanation: got it right in khan

The correct statement according to scenario

Josiah's distance from the starting line at a time when he is behind Chana.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

Josiah's head start = 10 meters from the start

Josiah's speed = 2 m/s

Chana's speed = 3 m/s

Now, the distance travelled as

D= d x s+ t

For Josiah, we have;

D = 10 + 2•t (line a)

For Chana, we have;

D = 0 + 3•t = 3•t (line b)

Thus, Josiah's distance from the starting line at a time when he is behind Chana.

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The population model is an exponential decay because it decreases

The exponential model of the population is P = 3000(0.64^1/7)^t

The population decreases by 0.36 every 7 years.

This means that the function is an exponential decay.

An exponential decay function is represented as:

P = a((1 - r)^1/n)^t

Where:

So, we have:

P = 3000((1 - 0.36)^1/7)^t

Evaluate the difference

P = 3000(0.64^1/7)^t

Hence, the exponential model of the population is P = 3000(0.64^1/7)^t

Read more about exponential functions at:

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Answer:

no you couldnt

Step-by-step explanation:

The bottle that holds more water has the larger volume

Beau's water bottle holds more water

The given parameters are:

Drew

Beau

The volumes of their bottles is calculated using:

V = πr^2h

So, we have:

Drew = 3.14 * (3/2)^2 * 7

Drew = 49.46

Beau = 3.14 * (2)^2 * 9

Beau = 113.04

By comparison, 113.04 is greater than 49.46

Hence, Beau's water bottle holds more water

Read more about volumes at:

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How to determine the total amount of rainfall

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

= 3/8 inches

Answer:

a. y = 7.5x + 1

b. y intercept is 1, which means the puppy weighed 1 pound at birth or at 0 months old.

c. slope is 7.5 which means puppy gained 7.5 pounds a month for the first 6 months.

Step-by-step explanation:

To find slope: use rise/run formula (y2 - y1 / x2 - x1) which is,
(23.5 - 16) / (3 - 2) = 7.5

To find y intercept: Plug in y, x and b in the slope intercept formula (y=mx+b). choose any one of the pairs from the table. i chose 2 and 16. plug it in and the formula would now look like 16 = 7.5(2) + b .

solve for b
16 = 15 + b      (multiply 7.5 and 2)
1 = b               (subtract 15 from 16)
y intercept is 1

Answer:The larger solution is 6

Step-by-step explanation:

Answer:

the answer is option b because the sets in option b have an average of two and above

Answer:

Step-by-step explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80                            Subtract 10 from both sides

7n + 10 - 10 = 80 - 10             Combine

7x = 70                                   Divide by 7

7x/7 = 70/7                             Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37  

Side 3 = 3n + 3 = 30 + 3 = 33

Answer:

If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.

Step-by-step explanation: Hope this helps u!

Answer:

See below.

Step-by-step explanation:

a) 4 7/8 inches

b) 4 5/8 inches

c) 12.5%

Answer:

yes because no one is perfect than god.

Answer:

Problem #6: 31.8

Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer

Answer:

  45%

Step-by-step explanation:

Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.

[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]

Answer:

1386cm^2.

Step-by-step explanation:

Radius of a circle = diameter / 2

= 42cm /2

= 21cm.

Area = (3.142 *21*21)cm^2

= 1386cm^2

To convert into metres:

=1386/100

=13.86m^2

Answer:

x = 10

y = 6

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

5-3x=-128

LHS = RHS

(5 - 3) x A = -128

( 2 ) x A = -128

2A / 2 = -128 / 2

A = -64