A store is having a sale on jellybeans and trail mix. For 8 pounds of jellybeans and 3 pounds of trail mix the total cost $34. For 2 pounds of jellybeans and 5 pounds of trail mix the total cost is $17. Find the cost of each pound of jellybeans and each pound of trail mix.

Hi!

Let's first expand the cotangent of theta.

You'll probably know that tangent will be "y/x", or [tex]\frac{sin(x)}{cos(x)}[/tex], and cotangent is the reciprocal of this, meaning that it is "x/y" or [tex]\frac{cos(x)}{sin(x)}[/tex].

That means that we are now given this equation.

[tex]cos(x)\frac{cos(x)}{sin(x)}+sin(x)[/tex]

That'll multiply to:

[tex]\frac{cos^2(x)}{sin(x)}+sin(x)[/tex]

We'll want a common denominator to add by multiplying [tex]sin(x)[/tex] to both top and bottom of the second term:

[tex]\frac{cos^2(x)}{sin(x)}+\frac{sin^2(x)}{sin(x)}[/tex]

[tex]\frac{cos^2(x)+sin^2(x)}{sin(x)}[/tex]

Pythagorean Identity states that [tex]sin^2(x)+cos^2(x)=1[/tex], so substitute that in:

[tex]\frac{1}{sin(x)}[/tex]

Which simplifies to:

[tex]csc(x)[/tex]

Hope this helps!

Answer:

Angle TSW = angle UTV because they are corresponding congruent angles.

Angle STW = angle TUV because they are corresponding congruent angles.

Triangle STW is congruent to triangle TUV because of the Angle-Angle-Side Similarity theorem.

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

Answer:

456 ft.sq

Step-by-step explanation:

Here's your solution

=> Divide the whole figure in two parts

=> Area of trapezium = 1/2*sum of parrel sides*distance between them

=> Area of trap. = 1/2*( 24 + 11) *24

=> Area = 1/2*35*24

= > Area = 35*12. =. 420 ft.sa

=> Area of square = side*side

=> Area = 6*6

=> Area = 36 ft.sq

=> Total area of figure = 420 + 36

456 ft.sq

Answer:

x= -3

Step-by-step explanation:

-5x+3=18

-3 on both sides

-5x=15

divide by -5 on both sides

x= -3

Answer:

X= -3

Step-by-step explanation:

-5x+3=18 subtract 3 from both sides this removes the +3 from the left side and makes the 18 into 15

-5x=15 Divide both sides by -5

x=-3

Answer:

c and d

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

So the sum of the angles is 18 × 90 = 1620

the formula to find number of sides is n which is sides - 2 into 180 equals sum of interior angles

(n-2)*180 = 1620

n-2 = 1620/180

n- 2 = 9

n = 11

hope this helped

Answer:

28.278ft^2

Step-by-step explanation:

Given data

Diameter of painting= 6ft

Radius= 3ft

Let us find the area of the painting

Area= πr^2

Substitute

Area= 3.142*3^2

Area= 3.142*9

Area= 28.278ft^2

Answer:

>

Step-by-step explanation:

because

16/24 > 9/24 :)

Answer: I would say 4 square feet

Step-by-step explanation:

Pls give brainliest

Answer:

y - intercept = -5/2

x-intercept = -2

Step-by-step explanation:

-5x - 4y = 10

At y-intercept , x = 0

0 - 4y = 10

       y = 10/-4

       y = -5/2

At x-intercept, y = 0

   -5x  - 0 = 10

           -5x = 10

              x = 10/-5

               x = -2

Answer:

x = 4

y = 13

Step-by-step explanation:

x + y = 17

y = 2x + 5

substitute for y:

x + (2x + 5) = 17

reduce:

3x + 5 = 17

subtract 5 from each side:

3x = 12

divide both sides by 3:

x = 4

y = 2(4) + 5

y = 13

Answer:

41.67πunits³

Step-by-step explanation:

Since we are not asked what to find, we can as well  look for the volume of the cone.

Find the diagram of the cone attached

Volume of the cone = 1/3πr²h

h is the height of the cone

r is the radius of the cone

Volume of the cone = 1/3π(5)²(5)

Volume of the cone= 1/3π(125)

Volume of the cone = 125π/3

Volume of the cone = 41.67πunits³

Answer

E.

Step-by-step explanation:

Answer:

Its 180!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

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Answer:

$13

Step-by-step explanation:

First, you must find out how much Jason's family is spending on admission and keychains. To find this out, just multiply the $10 and the $2 separately by 4. Once you find out how much the family is spending on each item, add them up. It should look like this:

$10 x 4 = $40

$2 x 4 = $8

$40 + $8 = $48

Next, just subtract the $48 from the initial $100 to find out how much the family as a whole can spend on food.

$100 - $48 = $52

Finally, just divide the $52 by 4 to represent how much each family member can spend.

$52 / 4 = $13

Each person in Jason's family can spend $13 on food. Hope this helps!

Answer:

x=2

y=10

Step-by-step explanation:

I use Symbolad it helps a lol

Answer:

Natalie paid $100.

Step-by-step explanation:

77 + 23 = 100

100 - 77 = 23

Answer:

100$

Step-by-step explanation:

77+23= x

100=x

does that help?

Answer:

0.25

Step-by-step explanation:

Answer:

I would say the answer is C.

Hope it helps

bye

Answer:

No mode​

Step-by-step explanation:

The mode is the statistical method in which the most repetitive number should be considered

Like if we take an example

1,1, 2, 2, 2, 4, 4,4,4

So here the mode is 4 as 4 is repeated 4 times

But in the given situation there is no mode as every number is written single time

Answer:

Explained in detail below

Step-by-step explanation:

4/28 = 1/7 = 1:7

Given:

Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.

To find:

The edge of a cube whose volume is equal to the volume of the given cuboid.

Solution:

We know that the volume of a cuboid is

[tex]Volume=length\times breadth \times height[/tex]

[tex]V_1=36\times 75 \times 80[/tex]

[tex]V_1=216000[/tex]

The volume of a cube is

[tex]Volume=a^3[/tex]

Where, a is the side length of the cube.

The volume of cube and cuboid are equal. So,

[tex]a^3=216000[/tex]

[tex]a=\sqrt[3]{216000}[/tex]

[tex]a=60[/tex]

Therefore, the measure of edge of the cube is 60 cm.

Answer:

Step-by-step explanation:

5x = 2x +9

3x = +9

x = 3

AB= 5(3)= 15

BC = 2(5) + 9=10 +9=19

AC = 15 + 19 = 34

Answer:

i'd say c.) and e.)

Step-by-step explanation:

......

Answer:

×= 5hrs

Step-by-step explanation:

Daisy 9 hrs

Bella my son 5hrs

Answer:

100 ÷ 100 + 12 + 1000= 1013

Step-by-step explanation:

hope it helps

Answer:

1,013

Step-by-step explanation:

we will divide 100 from 100 then the ans will be 1 and then we will add 12 with it so the ans will be 13 and the we will add 1000 with 13 so the and will be

1013