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inna [77]
3 years ago
5

The scale on the architectural plans for a new house is 1 in. equals 4 ft. Find the length and width (in ft) of a room that meas

ures 6 in. by 9 in. on the drawing. (For each answer, enter a number as an exact integer or decimal.)
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0

Answer: the actual length and width of the room is 24ft by 36ft

Step-by-step explanation:

The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.

Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be

6 × 4 = 24 feet

Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be

9 × 4 = 36 feet

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otez555 [7]

Answer:

\frac{1}{200}

Step-by-step explanation:

<u>Find the derivative of the function when x=3</u>

<u />y=\sqrt{2(x-1)}

\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}

\frac{dy}{dx}=\frac{1}{\sqrt{4}}

\frac{dy}{dx}=\frac{1}{2}

Since the change in the value of the function is dy and we know that the change in x is dx=0.01, then we have:

\frac{dy}{dx}=\frac{1}{2}

dy=\frac{1}{2}dx

dy=\frac{1}{2}(0.01)

dy=\frac{1}{200}

Therefore, the 2nd option is correct

<u />

8 0
2 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
3 years ago
Decompose and use the distributive property to find the product of 5 × 7.3.
swat32

Answer:

36.5

Step-by-step explanation:

5(1+6.3)

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3 years ago
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Fittoniya [83]

Answer:

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5 0
2 years ago
Read 2 more answers
Which is a solution to the equation 6x + y = –4?
KatRina [158]
1. Make y the subject of the equation
y = -4 - 6x


2. Substitute values for guess and check
8 = -4 - (6 x 2)
8 = -4 - 12
This is incorrect.

2 = -4 - (6 x 1)
2 = -4 -6
This is incorrect.

-10 = -4 - (6 x 1)
-10 = -4 -6
This is correct.

The correct answer is C.
7 0
3 years ago
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