Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?

The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53

Total cost is the overall expense incurred for a particular product, service, or project. It includes both fixed and variable costs, such as materials, labor, and overhead. It is often used in business and economic analysis as a measure of the efficiency and profitability of a particular venture. The total cost of a product or service can also be used to set prices and make pricing decisions.

According to question:-

step1

h = number of hotdogs

c = number of corndogs.

cost of hotdog = $3

corn dog = $1.50

The equation:

3h + 1.50c = 201 (1)

h = 2c - 3 (2)

step2

substitute (2) into (1)

3(2c - 3) + 1.50c = 201

6c - 9 + 1.50c = 201

7.50c - 9 = 201

7.50c = 201 + 9

7.50c = 210

c = 210/7.50

c = 28

Therefore,

h = 2c - 3

= 2(28) - 3

= 56 - 3

= 53

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The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.

[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]

[tex]$3 x^2+4 x+4=0$[/tex]

Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]

Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]

[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]

Distinguish the answers

[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

The following are the quadratic equation's solutions:

[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]

[tex]$3 y^2+2 x+4=0$[/tex]

[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.

Rewrite [tex]$3 y^2+2 x+4=0$[/tex]  using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]

The following are characteristics of parabolas:

[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]

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Answer:

36 estimated amount of people

Hope this helps!!!! Love the pig pic btw ^-^

Answer: “Rate of change” just means “slope”. All of calculus is just ways to find the slope for curves. Find y at -5 and at -4 and calculate the slope.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Its a right triangle so we can use the Pythagorean Theorem to solve it

Answer:

x≤ −6/ 17

Step-by-step explanation:

Let's solve your inequality step-by-step.

−34x≥12

Step 1: Divide both sides by -34.

−34x/ −34 ≥ 12/ −34

x≤ −6/ 17

Answer:

x≤ −6/ 17

Answer:

Choice B 2 and -2

Step-by-step explanation:

2 would be opposite of -2

Mark brainliest

So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.

Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:

1/30 * 1/29 = 1/870

All done!

Step-by-step explanation:

d = 30m, so r = 15m

h = 20m

We know,

= (22×15×15×20)/7 [Taking π = 22/7]

= 14142.86m^3

= 14142875.14 litres

Answer:

The aircraft when empty weighs 4,817.48 kilograms.

Step-by-step explanation:

Since a bomber aircraft on take-off carries twelve dozen bombs, each weighing ten kilos; and the aircraft takes off for Warsaw, the international center of Jews bombing the town, and on take-off with all the bombs on board and a fuel tank containing 1000 kilos of fuel, the aircraft weighed about eight tons, while when it returns from the crusade, there are still 230 kilos of fuel left, to determine what is the weight of the aircraft when empty, the following calculation must be performed:

1 ton = 907.185 kg

8 x 907.185 = 7,257.48

7,257.48 - (12x12x10) - 1000 = X

7,257.48 - 1,440 - 1000 = X

7,257.48 - 2,440 = X

4,817.48 = X

Therefore, the aircraft when empty weighs 4,817.48 kilograms.

Step-by-step explanation:

Lets first find the remainder when p(x) is divided by x-2

p(2)=2(2)³+b(2)²+3(2)-5

p(2)=16+4b+6-5

p(2)=4b+17

Now let's find the remainder when q(x) is divided by x-2

q(2)=(2)³+(2)²-4(2)-b

q(2)=8+4-8-b

q(2)=4-b

Now let's equate both of them

4b+17=4-b

4b+b=4-17

5b=-13

b=-13/5 as required

Answer:

C) -24 and shaded circle

Step-by-step explanation:

You can simplify -6(5 - 1) by distributing -6, which would be -30 + 6. Then, you can add the numbers up to get -24. The inequality can be written as p ≤ −24.

Answer:

Option H

Step-by-step explanation:

y = 3x - 4

this is the correct answer.

Answer:

H- y=3x-4

The reason I answered this is because the equations are in slope-intercept format (y=mx+b), the slope(m), is 3. The y intercept(b) is -4. Hope this helped :)

Answer:

No it is not an exponential function

Answer:

3

Step-by-step explanation:

2,082/694 = 3

Answer:

3

Step-by-step explanation:

2,082/694 = 3

System of equations y = 5x + 11 and y = 5x has no solution,  y = 6x + 3 and y = 3x has one solution and x + 4y = 8 and y = -1/4x + 2 no solution.

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

a. y = 5x + 11 and y = 5x

Substitute the y value in first equation

5x=5x+11

So the system of equations y = 5x + 11 and y = 5x has no solution.

b. y = 6x + 3 and y = 3x

Substitute the y value in first equation

3x=6x+3

-3x=3

x=-1

y=-3

The system of equations has one solution

c. x + 4y = 8 and y = -1/4x + 2

x+4(-1/4x + 2)=8

x-x+2=8

The  system of equations has one solution has no solution

Hence, system of equations y = 5x + 11 and y = 5x has no solution,  y = 6x + 3 and y = 3x has one solution and x + 4y = 8 and y = -1/4x + 2 no solution.

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Answer:

1+1=2

Step-by-step explanation:

please mark me brainliest i want to move to the next rank

Answer:

Ah and mc are parallel segments

Answer:the interest would be $3,500

Step-by-step explanation:  you have to multiply all of the numbers together but change the 3.5% to a decimal of 0.035

Answer:

it would be a rectangular pyramid

Answer:

[tex] \approx \: 198.1 \: {cm}^{2} [/tex]

Step-by-step explanation:

Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm

(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)

Therefore,

Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm

[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]

a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)

A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.

A cubic function has 3 roots.

Let, assume α, β and γ.

So, f(x) = K (x - α). (x - β). (x - γ)

f(x) is defined by values of x where f(x) = 0

0 = K (x - α). (x - β). (x - γ)

x = α, β, γ

The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)

Now, f(x) = K (x - (-3). (x - 1). (x - 4)

f(x) = K (x + 3) (x - 1) (x - 4)

Next, f(x) passes through point (0,8) which means:

f(0) = 8

so, 8 = K (0 + 3) (0 - 1) (0 - 4)

or, k = - 2

Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)

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D I think 13.34

Step-by-step explanation:

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

9514 1404 393

Answer:

  400

Step-by-step explanation:

The statement of proportionality means the ratio of y to √x is the same. Then we can write ...

  (√x)/100 = (√81)/45

  √x = 100(√81)/45 = 20 . . . . . multiply by 100

  x = 20² = 400

x is 400 when y is 100.