All categories

3 years ago

Can someone help me with this question please..

Mathematics

1 answer:

Luden [163]3 years ago

3 0

Answer:

7200 cm^2

Step-by-step explanation:

The kitchen dimension on the drawing of 14 cm corresponds to an actual kitchen dimension of 40·14 = 560 cm.

The kitchen dimension on the drawing of 22 cm corresponds to an actual kitchen dimension of 40·22 = 880 cm.

The actual kitchen area is ...

Area = length · width = (880 cm)(560 cm) = 492,800 cm^2.

The difference between this area and the bedroom area is ...

500,000 cm^2 -492,800 cm^2 = 7200 cm^2

The kitchen is 7200 cm^2 smaller than the bedroom.

You might be interested in

Here is the next one:)

butalik [34]

Answer:

O Sin (53) = 21/29

O Sin (37) = 20/29

Step-by-step explanation:

In a triangle, the sine is opposite over hypotenuse, the cosine is adjacent over hypotenuse, and the tangent is opposite over adjacent.

8 0

3 years ago

Read 2 more answers

Answer this question!!!!!!!!

Contact [7]

What question Would that be

7 0

3 years ago

Read 2 more answers

Can someone actually help me with this question? It's about: Complementary and supplementary angles (visual)

Sophie [7]

90-41 =49
So the answer to x =49 degrees
Complimentary angles are two angles that equal 90 that us why to solve we subtract 41 from 90

4 0

2 years ago

What is the opposite of addition? what is the opposite of division?

LenaWriter [7]

Subtraction
multiplication
yayyyyyyyyyyy

8 0

3 years ago

Read 2 more answers

Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers

lora16 [44]

Answer:

Part A)

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

$\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}$

Where P is the number of eggs laid, x is the number of workers, and y is the daily operating budget (assuming in US dollars $).

We want to find dy/dx.

So, let’s find our equation in terms of x. We can raise both sides to 10/7. Hence:

$\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}$

Simplify:

$\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y$

Divide both sides by the x term to acquire:

$\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}$

Take the derivative of both sides with respect to x:

$\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]$

Apply power rule. Note that P is simply a constant. Hence:

$\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})$

Simplify. Hence, our derivative is:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

We want to evaluate the derivative when x is 30 and when y is $10,000.

First, we will need to find P. Our original equations tells us that:

$P=x^{0.3}y^{0.7}$

Hence, at x = 30 and at y = 10,000, P is:

$P=(30)^{0.3}(10000)^{0.7}$

Therefore, for our derivative, we will have:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)$

Use a calculator. So:

$\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143$

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0

3 years ago