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1 year ago

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The cost C (in dollars) of producing x DVD players is represented by C = 4.5x2. How many DVD players are produced if the cost is

$544.50 (I recommend looking at the problem through the picture. Question number 13 last question in photo provided)

1 answer:

lisabon 2012 [21]1 year ago

3 0

Given the following equation representing the cost of producing DVD Players:

$\text{ C = 4.5x}^2$

Let's determine the number of DVD players produced if the cost is $544.50

$\text{ C = 4.5x}^2$ $\text{ \$544.50 = 4.5x}^2$ $\text{ }\frac{\text{\$544.50}}{\text{ 4.5}}\text{ = }\frac{\text{4.5x}^2}{\text{ 4.5}}$ $\text{ 121 = x}^2$ $\text{ }\sqrt{\text{121}}\text{ = }\sqrt{\text{x}^2}$ $\text{ 11 = x}$

Therefore, it'll cost $544.50 to produce 11 DVD Players.

The answer is 11.

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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t

larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle $\theta$ , is 1.42. We are asked to find the length of the side opposite angle $\theta$ .

We can represent our given information in an equation as:

$\text{tan}(\theta)=1.42$

Now, we will use arctan to solve for theta as:

$\theta=\text{tan}^{-1}(1.42)$

$\theta=54.85^{\circ}$

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}$

$20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}$

$20\cdot 0.81764=\text{Opposite}$

$\text{Opposite}=20\cdot 0.81764$

$\text{Opposite}=16.3528$

$\text{Opposite}=16.4$

Therefore, the opposite side to angle theta is 16.4 feet.

5 0

2 years ago

Read 2 more answers

Find the density of a 40 gram pyramid with rectangular base 5 x 6 cm and height 8 cm.

e-lub [12.9K]

Density is <u>mass</u>
volume
With those dimensions, the volume of the pyramid is;
V = lw(h/3)
V = (5)(6)(8/3)
V = 80 cm^3

D = <u> 40 g </u> = 1 g/cm^3
80 cm^3

3 0

3 years ago

Read 2 more answers

Let f(x) = -2x + 7 and g(x) = -6x + 3. Find fxg and state its domain.

marissa [1.9K]

Option D: $(f\times g)(x)=12 x^{2}-48 x+21$ ; all real numbers.

Explanation:

Given that the functions are $f(x)=-2 x+7$ and $g(x)=-6 x+3$

We need to determine the value of $(f\times g)(x)$ and its domain.

<u>The value of </u> $(f\times g)(x)$ <u>:</u>

The value of $(f\times g)(x)$ can be determined by multiplying the two functions.

Thus, we have,

$(f\times g)(x)=f(x)\times g(x)$

$=(-2x+7)(-6x+3)$

$=12x^2-6x-42x+21$

$(f\times g)(x)=12 x^{2}-48 x+21$

Thus, the value of $(f\times g)(x)$ is $(f\times g)(x)=12 x^{2}-48 x+21$

<u>Domain:</u>

We need to determine the domain of the function $(f\times g)(x)$

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Thus, the function $(f\times g)(x)=12 x^{2}-48 x+21$ has no undefined constraints, the function is well defined for all real numbers.

Hence, Option D is the correct answer.

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2 years ago

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How do you find the height of a triangle?

Dmitrij [34]

Answers: height, "h", of a triangle: <span> h = 2A / (b₁ + b₂) .
___________________________________________________ </span>
Explanation:
__________________________________________________
The area of a triangle, "A", is equal to (1/2) * (b₁ + b₂) * h ;
or: A = (1/2) * (b₁ + b₂) * h
or: write as: A = [(b₁ + b₂) * h] / 2 ;
___________________________________________
in which: A = area of the triangle;
b₁ = length of one of the bases
of the triangle ("base 1");
b₂ = length of the other base
of the triangle ("base 2");
h = height of the triangle;
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To find the height of the triangle, we rearrange the formula to solve for "h" (height); assuming that all the units are the same (e.g. feet, centimeters); if no "units" are given, then the assumption is that the units are all the same.
We can use the term "units" if desired, in such cases; in which the area, "A" is measured in "square units"; or "units²",
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So, given our formula for the "Area, "A"; of a triangle:
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A = [(b₁ + b₂) * h] / 2 ; we solve for "h" in terms of the other values; by isolating "h" (height) on one side of the equation.
If we knew the other values; we plug in the those other values.
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Given: A = [(b₁ + b₂) * h] / 2 ;

Multiply EACH side of the equation by "2" ;
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2*A = { [(b₁ + b₂) * h] / 2 } * 2 ;
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to get:
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2A = (b₁ + b₂) * h ;
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Now, divide EACH side of the equation by: "(b₁ + b₂)" ; to isolate "h"
on one side of the equation; and solve for "h" (height) in terms of the other values;
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2A / (b₁ + b₂) = [ (b₁ + b₂) * h ] / (b₁ + b₂);
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to get:
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2A / (b₁ + b₂) = h ; ↔<span> h = 2A / (b₁ + b₂) .
__________________________________________________</span>

7 0

3 years ago

You can use the formula S = 10m2/3 to approximate the surface area, S, in square centimeters, of a horse with mass m, in grams.

Vaselesa [24]

S = 10*m^(2/3)

S = 10*(450000)^(2/3)

S = 58,723.014617533

S = 58,723

<h3>Answer: Approximately 58,723 square cm.</h3>

4 0

3 years ago