Evaluate sin(36°), round your answer to four decimal places.

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

[tex]\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.[/tex]

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Answer: 6x^4-x^3-5x^2+10x+5.

Step-by-step explanation:

Answer:

See screenshot

Step-by-step explanation:

Answer:

1.) -9

2.) 1/3 or 0.3

5.) 4

6.) 2.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3. 3

4. 5

5. 6

Answer:

C

Step-by-step explanation:

Answer:

you need to show the shape or somet or else I can't rlly help

Answer:

If the hypotenuse is 15 and one of the sides is 12, the answer is 9.

If these are the side lengths, the hypotenuse is square root of 369, which is about 19.21

Step-by-step explanation:

Answer: The width is 5

Step-by-step explanation:

The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5

Answer:

Find the area of both the square and circle and subtract the circle’s area from the square’s

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4³ = 64

Answer:

0.000725 i think :)

Step-by-step explanation:

   Divide the number by 100 (move the decimal place two places to the left).

   Multiply this new number by the percentage you want to take off.

Answer:

A. ~30°

B. ~240°

C. ~330°

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

with reference angle 30°

perpendicular (p) = 5

hypotenuse (h) = x

Now

sin 30° = p / h

1 / 2 = 5 / x

x = 10

Hope it will help :)

Answer:

x = -2

And, x = 7 ÷ 2

Step-by-step explanation:

Given that

y = 2x^2

y = 3x + 14

Now equate these two above equations

2x^2 = 3x + 14

2x^2 - 3x - 14

2x^2 -7x + 4x - 14

x(2x - 7) + 2(2x - 7)

(x + 2) (2x - 7)

So it can be x = -2

And, x = 7 ÷ 2

Answer:

[tex] {x}^{2} - 49 = 0 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7[/tex]

Answer:

400j

Step-by-step explanation:

Answer:

$5193.77

Step-by-step explanation:

You want to figure out what x is.

Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.

Then, plug x = 9 into the equation:

y = 11,000(0.92)^9

Plug this into a calculator and you get: y = $5193.77

I got you! Just tell me what the zoom login is so I can help

Answer:

algebraically.

y = 2x - 4........….....(1)

x + 2y = 12..............(2)

substituting the value of y in equation (2) we get

x+2(2x - 4)=12

x+4x-8=12

5x=12+8

x=20/5=4

substituting the value of x in equation(1) we get

y=2×4-4=8-4=4

:.(x,y)=(4,4)answer

The value of x = 4

The value of y = 4

What is an Equation?

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.

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.

Given data ,

Let the first equation be = A

Let the second equation be = B

Now ,

y = 2x -4

Subtracting 2x on both sides , we get

y - 2x = -4   be equation (1)

And ,

x + 2y = 12   be equation (2)

Now , on simplifying the two equations , we get

Multiply equation (1) by 2 , we get

2y - 4x = -8   be equation (3)

Now , subtract equation (3) from equation (2) , we get

5x = 20

Divide by 5 on both sides , we get

x = 4

Therefore , the value of x is 4

Substitute the value of x in equation (2) , we get

4 + 2y = 12

Subtracting 4 on both sides , we get

2y = 8

Divide by 2 on both sides , we get

y = 4

Therefore , the value of y is 4

Hence , The value of x and y is 4

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

a little bit less than 30

Step-by-step explanation:

Answer:

x=92

Step-by-step explanation:

those to angles are supplementary meaning that they add up to equal 180

so you set up the equation 180=x+x-4

180=2x-4

step 1 add 4 to each side

184=2x

step 2 divide each side by 2

x=92

so the angles equal 92 and 88

Answer:

92°

Step-by-step explanation:

180 degrees on a straight line.

2x - 4 = 180

2x = 184

X = 92°

Answer:

Step-by-step explanation:

B. A graph of 2 variables will have numerous points, they can be both positive and negative.

Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

Answer:

No they don't (unless I messed up)

Step-by-step explanation:

([{3x=9} 2]=81) - ([{x=3}+1]=4) =77

([{2x=10} 2]=100) + {[(2x=25)-4]=21} = 79

Answer:

The answer is B

Step-by-step explanation:

To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)

The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)

Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)

Answer:

4/20 - 5/20 = -1/20, and therefore, since the answer is negative, you've proven that 5/20 (or the original 1/4) is actually the bigger number, not the 4/20 (or 1/5).

Step-by-step explanation:

Answer:

1/2 or 0.5

Step-by-step explanation:

so to find the slope of two points you use the slope formula which is rise over run, y2-y1/x2-x1. so that would be -1-0/7-9. leading to -1/-2. so the slope is 1/2 or 0.5.

Answer:

I believe D is the answer

Step-by-step explanation:

how I find the slope it by looking at the y-axis and what hits directly on that line. you can see that 3 hits directly on that line so the b in y=mx+b is three which is your starting point. then you follow the line and see where it hits directly on a point. then count the blocks. remember that it's rise over run so that's y over x. so you go down five and over one. since you go down five it's negative. the negative is only added onto the five not the one. and since it's five over one, you don't need to put the over one, it's just automatically there. hope this helps! good luck!