A customer at a video game store pays $420 for 6 games and 2 controllers. A second customer pays $180 less than the first customer for 2 games and 4 controllers. The price of each game is the same, and the price of each controller is the same. Which system of equations can be used to find the price, in dollars, of each game, g, and each controller, c

The Pythagorean identities are sin² θ + cos² θ = 1, 1 + tan² θ = sec² θ, and 1 + cot² θ = cosec² θ. Then the correct options are B, C, and E.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

We know that

[tex]\rm H^2 = P^2+B^2[/tex]

Divide the  equation by H², then we have

[tex]\rm\dfrac{P^2}{H^2}+\dfrac{B^2}{H^2} = 1 \\\\\sin ^2 \theta + \cos ^2 \theta = 1[/tex]

Similarly, the equation is divided by P² and B², then we have

[tex]\rm 1 + \tan ^2 \theta = \sec ^2 \theta \\\\1 + \cot ^2 \theta = cosec ^2 \theta[/tex]

More about the right-angle triangle link is given below.

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Answer:

Mrs. Burgess will save $48 by buying a monthly pass.

Step-by-step explanation:

Let's compare the one-day pass to the monthly pass by finding how much 20 one-day passes will cost.

Multiply the price for a one day pass, $9.65, to the gym by 20 days:

Compare this price to the monthly pass price by subtracting these values.

If Mrs. Burgess buys the monthly pass of $145 instead of buying 20 day passes for $193, she will save $48.

By taking a quotient, we will see that the number of guests is 540.

Because we know that each guest ate a fixed amount of pizza, and there was no pizza left, we know that the number of guests will be equal to the quotient between the total number of pizzas bought, and the amount of pizza that each guest ate.

This is:

[tex]N = \frac{90}{1/6}[/tex]

We can rewrite that quotient as:

[tex]N = \frac{90}{1} / \frac{1}{6} = \frac{90*6}{1*1} = 540[/tex]

So the number of guests is 540.

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Answer:

14w

Step-by-step explanation:

Width = w

Length is 6 time its width. so, multiply w by 6

length = 6*w = 6w

Perimeter of rectangle = 2* (length + width)

                                        = 2*(6w + w)

                                        = 2*7w

                                         = 14w

Answer:

Step-by-step explanation:

           =3(4)^2 + 4 + 8

           =3(16) + 4 + 8

            = 38 + 12

            = 60

Answer:

-5

Step-by-step explanation:

The range of values for x is {2, 26, 2.5, 5} in the given case where we have to enter values.

To provide a range of values for x based on the given information, we need to solve the equation 2x+10 = 14, 62, 15, and 20.

Let's solve the equation for each given value: 1. 2x+10 = 14:

Subtract 10 from both sides of the equation: 2x = 4

Divide both sides of the equation by 2: x = 2 2. 2x+10 = 62:

Subtract 10 from both sides of the equation: 2x = 52

Divide both sides of the equation by 2: x = 26 3. 2x+10 = 15:

Subtract 10 from both sides of the equation: 2x = 5

Divide both sides of the equation by 2: x = 2.5 4. 2x+10 = 20:

Subtract 10 from both sides of the equation: 2x = 10

Divide both sides of the equation by 2: x = 5

Therefore, the range of values for x is {2, 26, 2.5, 5}.

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Answer: 7 bulbs

Step-by-step explanation: 21/3

Answer:

This can be done using the choose function.

The number of combinations are given by:

(

n

k

)

=

n

!

k

!

(

n

−

k

)

!

where

n

is the total number of students and

k

is the number of students to be picked. So we have

n

=

20

and

k

=

5

:

(

20

5

)

=

20

!

5

!

(

20

−

5

)

!

=

20

!

5

!

15

!

Evaluate directly with a calculator:

20

!

5

!

15

!

=

15504

we can simplify this before calculation by hand:

20

!

5

!

15

!

=

20

×

19

×

...

×

2

×

1

5

×

4

×

3

×

2

×

1

×

(

15

×

...

×

1

)

=

(

20

×

...

×

16

)

(

15

×

...

×

1

)

(

5

×

...

×

1

)

(

15

×

...

×

1

)

=

(

20

×

...

×

16

)

15

×

...

×

1

(

5

×

...

×

1

)

15

×

...

×

1

=

(

20

×

19

×

18

×

17

×

16

)

(

5

×

4

×

3

×

2

×

1

)

Simplify the numbers matched up by color:

=

(

4

×

19

×

9

×

17

×

4

)

(

1

×

1

×

3

×

1

×

1

)

=

(

4

×

19

×

3

×

17

×

4

)

(

1

×

1

×

1

×

1

×

1

)

=

3

×

4

×

4

×

17

×

19

=

48

×

323

=

15504

Answer:

y-4=-2/5(x+5)

Step-by-step explanation:

Points slip form is y-y₁=m(x-x₁)

Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.

Answer:

∠ MAJ = 50°

Step-by-step explanation:

the chord- chord angle KAJ is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is

∠ KAJ = [tex]\frac{1}{2}[/tex] (KJ + LM ) = [tex]\frac{1}{2}[/tex] (190 + 70)° = [tex]\frac{1}{2}[/tex] × 260° = 130°

then

∠ MAJ and ∠ KAJ are adjacent angles and sum to 180° , so

∠ MAJ + 130° = 180° ( subtract 130° from both sides )

∠ MAJ = 50°

Answer:

50

Step-by-step explanation:

Answer:

Not effective: 31.5%

Effective: 68.5%

Step-by-step explanation:

200

First we need to figure out how many tests they did :)

20 x 10 = 200

Now lets divide to see the percentage of how effective and not effective it is :)

Not effective: 31.5%

63/200 = 0.315 x 100 = 31.5

Effective: 68.5%

137/200 = 0.685 x 100 = 68.5

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Not effective: 31.5%

Effective: 68.5%

Step-by-step explanation:

The equation h(t) = -16t² + 24t is an illustration of a quadratic model

The equation that represents the path of the kick ball is given as

h(t) = -16t² + 24t

The fielder catches the ball at a height of 3 ft above the ground.

This means that:

h(t) = 3

So, we have:

-16t² + 24t = 3

Hence, the equation when the fielder catches the ball is -16t² + 24t = 3

In (a), we have:

-16t² + 24t = 3

Rewrite as:

-16t² + 24t - 3 = 0

Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology

From the graph (see attachment), we have the following solutions

t = 0.14 and t = 1.36

Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds

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A)

The lengths of side RQ and side R'Q' are in the ratio 1:3.

Answer:

$49.29 Give me brainliest please

Answer:

3+3? bet u can’t do that  ;-;

Step-by-step explanation:

Answer:

f⁻¹(x) =

Step-by-step explanation:

Given function,

→ f(x) = 5x - 6

We are supposed to find ths inverse of the given function. Consider the function, y = f(x).

→ y = 5x - 6

Add 6 to both sides.

→ y + 6 = 5x - 6 + 6

Solve the equation.

→ y + 6 = 5x

Division both sides by 5.

→ y + 6/5 = 5x/5

Solve the equation.

→ (y + 6)/5 = x

Can be re-written as,

→ x = (y + 6)/5

Now, recall f(x) = y, this implies x = f⁻¹(y).

→ f⁻¹(y) = (y + 6)/5

So the final answer is:

→ f⁻¹(x) = (x + 6)/5

Answer:

9

Step-by-step explanation:

10+ -7

3

3 = 9/3

9

Answer:No paper necessary. The only 2 numbers that I can think of that would fit this premise would be 8 divided by 1 . The difference between the two numbers is 7.

Step-by-step explanation:

Answer: 67 degrees

Step-by-step explanation:

The relationship between the size of the drink and the price of the drink is positive and upward sloping.

A graph is used to represent data in a pictoral format. On the graph, there is the x-axis and the y-axis.  exhibits a positive relationship if the graph is upward sloping. The variables exhibits a negative relationship if the graph is downard sloping.

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The circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 )

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above find the radius of the base of the silo.

V = (1/3)πr²h

132ft³ = (1/3) × 3.14 × r² × 6ft

132ft³ = 6.28ft × r²

r² = 132ft³ / 6.28ft

r² = 21.0191ft²

r = √21.0191ft²

r = 4.58ft

Now, since the radius of the base of the silo is 4.58ft, the circumference of the base will be;

C = 2πr

C = 2 × 3.14 × 4.58ft

C = 28.8ft

Therefore, the circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.

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Answer:

x = 13

Step-by-step explanation:

Vertical angles are always congruent (equal)

⇒ ∠A =∠B

⇒ (8x - 12) = (6x + 14)

⇒ 2x = 26

⇒ x = 13

Angle A and Angle B are vertical angles . If mAngle A = ( 8x - 12 )° and mAngle B = ( 6x + 14 )°, then find the value of x .

We have to find the value of x

Concept of this question belongs to vertical angles i.e. vertical angle are always equal .

[tex] \pink{\boxed {Therefore , \: value \: of \: x \: i s \: 13}}[/tex]

We are verifying our answer by putting the value of x in given Angle A and Angle B ,

Therefore , our answer is correct .

Answer:

  a = 7

Step-by-step explanation:

You have correctly found the perimeter of the figure to be (34a+12). To find the value of 'a', solve the equation that sets this equal to 250.

  34a +12 = 250

  34a = 238 . . . . . . . subtract 12

  a = 238/34 = 7 . . . . . divide by the coefficient of 'a'

The value of "a" is 7.

✏Answer ✏

A=7

Step-by-step explanation:

# Brainliest Bunch

The dimension of the rectangle 18 feet by 13feet

A rectangle is a 2 dimensional shape having two sides.

Area of a rectangle = length * width

Given the following parameters

Length = x + 8

Width = x + 3

Area = 234ft^2

Substitute the given parameters into the formula

(x+8)(x+3) = 234
x² + 3x + 8x + 24 = 234

x² + 11x = 234 - 24
x² + 11x = 210

x² + 11x - 210 = 0

Factorize

x² + 21x - 10x - 210 = 0

x(x+21) - 10(x+21) = 0
x - 10 = 0
X = 10

Leength = x + 8

Length = 18 feet

Width = x + 3

Width = 3 + 10
Width = 13feet

Hence the dimension of the rectangle 18 feet by 13feet

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Answer:

y = 11x +14

Step-by-step explanation:

The work:

[tex]y-y_{0} =m(x-x_{0} )[/tex]

[tex]x_{0} =-2\\y_{0} =-8\\m=11[/tex]

[tex]y-(-8)=11(x-(-2))[/tex]

[tex]y+8=11(x+2)[/tex]

[tex]y=11x+22-8[/tex]

The equation:

[tex]y=11x+14[/tex]

Hope this helps

Answer:

84

Step-by-step explanation:

Given,

Length of the print(l) = 24 inches

Width of the print(b) = 18 inches

Perimeter of the print(P)= ?

We know,

Perimeter of the print(P) = 2(l + b)

= 2(24 + 18)

= 2(42)

=84 inches^2

Answer: Non

Step-by-step explanation:

If Andrew has 10 fish 4 dies he ends up with six. If 3 swim away he will have 1. If 1 does he would end up with non left.

Answer:5

Step-by-step explanation:

10 fish, 4 drown, so now 6 left,one dies, 5 left, and 3 swim away yet they are still his. They can't swim away in a fish tank.

hope it helped :D