The number of people at last Saturday's Norchester City game was 12 400. Season ticket holders made up 3/8 of the crowd. How many season ticket holders were there?​

The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.

We can use the fact that:

[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]

to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).

For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.

Converting sine to cosine, we get:

[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]

Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]

where n = an integer (positive, negative, or zero).

or

[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]

This is the general solution of the considered equation.

Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:

[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]

The first inequality gives:

[tex]-37 \leq x \leq 323[/tex]

The second inequality gives:

[tex]-4 \leq x \leq 176[/tex]

We need to satisfy both the inequalities, so the final boundaries on x are:

[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).

n < -2 gives x > 255, and n > 1 gives x < -105

So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0

Thus, x = either 135 or 15

sin

Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15

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Answer: yes it would change my answer for what is a better buy

Step-by-step explanation: if you buy a $1.98 large soda for 50¢ off you’ll have a $1.48 soda that is only 30¢ more but the size is significantly larger

Answer:

x=3

Step-by-step explanation:

4(x-2)=4.         divide both sides by 4

x-2=1.               add 2 to both sides

x=3

Answer:

2(x-4)

Step-by-step explanation:

* means multiplied by

2 is multiplied by the difference of a number and 4

multiplied by separates

2 AND "by the difference of a number and 4"

"by the difference of a number and 4" is in a parenthesis

"a number" means x

"the difference" means minus or -

2 is multiplied by the difference of a number and 4 =

2 * (x-4) =

2(x-4)

Answer:

16

Step-by-step explanation:

2^10 = 1,024

2^6 = 64

1,024/64 = 16

Hope that helps!

Answer:

A = bh

A = 45 x 46

A = 2070 inches

Answer:

2070 squre in

Step-by-step explanation:

because the base is 46 and the height is 45 then we just multiply the two together to find the area.

so we solve it and we get

45*46=2070

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Answer:

yes

Step-by-step explanation:

if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor

(- 2)³ + 5(- 2)² - 4(- 2) - 20

= - 8 + 5(4) + 8 - 20

= - 8 + 20 + 8 - 20

= 0

since polynomial = 0 then (x + 2) is a factor

Step-by-step explanation:

The root is

-sqr root of 5.

First, we put these roots in the forn of

[tex](x - a)[/tex]

where a is the root

So we have

[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]

[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]

To get rid of that square root, let have another root that js the conjugate posive root of 5.

[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]

[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]

Which will gives us a rational coeffeicent of degree 4.

Why we didn't do

[tex](x - \sqrt{5} )[/tex]

?

Because

[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]

If we foiled out we will still have a irrational coeffceint.

Answer:

45 dimes and 75 nickels

Step-by-step explanation:

3 ÷ 8 × 120 = 45

you divide the three by both ratios summed up (8) and then you multiply that by the coins

doing so will you can get 45

and to get the amount of nickels you just subtract 45 from 120 and you get 75

Answer:

-[tex]15 {a}^{2}b[/tex]

Answer:

d

Step-by-step explanation:

Answer:

5 bicycles

Step-by-step explanation:

5 * 2 = 10 wheels

7 * 3 = 21 wheels

10 + 21 = 31

Hope this helped! Brainliest :)

Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.

Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.

A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.

For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.

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Answer:

the next three numbers should be 8, 4, 0

Step-by-step explanation:

it reduces by 4 each time

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

12 - 4 = 8

8 - 4 = 4

4 - 4 = 0

First term =a=24

common difference=d=20-24=-4

Formula

a_5

a_6

a_7

Answer:

$2.29

Step-by-step explanation:

1. Divide $11.90 by 5.2

2. 11.90➗5.2 = 2.88 but you round the number so it will be 2.29

Hope this helps :)

u (-1 ; 0)

t (-3 ; 0)

Answer:

The answer is 4 dogs

Step-by-step explanation:

Let the number of dogs be x

=>The number of cats = 2x

=> The number of parrots = 3x

2x + 3x = 20

=>5x = 20

=>5x ÷ 5 = 20 ÷ 5

=>x = 4

They could have the maximum number of dogs is 4 dogs.

The given is,

An animal shelter has a total of 20 cats, dogs, and parrots.

There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.

A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.

Let the number of dogs be x

The number of cats = 2x

The number of parrots = 3x

2x + 3x = 20

5x = 20

5x / 5 = 20 / 5

x = 4

Therefore the are 4 dogs.

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Step-by-step explanation:

well, the approach is totally simple : we use (x+3) everywhere where we have "x" in the function expression.

so,

f(x+3) = 2(x+3)² - 3(x+3) + 4 =

= 2(x² + 6x + 9) - 3x - 9 + 4 =

= 2x² + 12x + 18 - 3x - 9 + 4 =

= 2x² + 9x + 13

Answer:

n = 17

Rule:  y = 2x + 1

Step-by-step explanation:

By inspection of the first two ordered pairs in the given table, it appears that for each 1 unit increase in x, y increases by 2 units.

To check this, write the ordered pairs with 5 ≤ x ≤ 10 using this rule:

(5, 11)  (6,13)  (7, 15)  (8, 17) (9, 19) (10, 21)

As the ordered pair (10, 21) appears in the table, then we can confirm that this is the rule and that it is a linear function.

If y increases by 2 units for every 1 unit increase of x, then the slope of the linear function will be 2.

Using the point-slope form of a linear function: [tex]\sf{y-y_1=m(x-x_1)}[/tex]

(where m is the slope and [tex]\sf(x_1,y_1)[/tex] is a point on the line)

Given:

Substituting these values into the formula:

[tex]\implies \sf{y-11=2(x-5)}[/tex]

[tex]\implies \sf y=2x+1[/tex]

Therefore, the rule is [tex]\sf y=2x+1[/tex]

To find n, simply substitute x = 8  and y = n into the equation:

[tex]\implies \sf n=2(8)+1=17[/tex]

Therefore, n = 17

Take 2 points and form equation

Slope:-

Equation in point slope form

So

for n

Answer:

25 - 9(z)²

Step-by-step explanation:

Hope this helps :)

{11, 13, 13, 14, 14, 16, 18, 23, 24}

As it's odd

Median:-

Median is 5th term 14

Answer:

[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]

[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]

Answer: D

Step-by-step explanation:

It’s really obvious just circle D

Answer:

I am pretty sure it is 100in^3 + s^3

Answer:

Step-by-step explanation:

Angle formed by two chords is half the sum of the intersepted arcs:

Angle formed outside by two tangents is half the difference of intercepted arcs:

Find the arc measure:

Angle formed outside by two secants is half the difference of intercepted arcs:

Answer:

The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.

Step-by-step explanation:

Answer

A parallel line is a position of two lines on a plane that does not have a point of intersection even though the two lines are extended.Geometrically, parallel lines will never meet each other because they have the same slope (gradient). Parallel lines do not have to be the same length