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3 years ago

(1.7 x 103) x (2 x 103)

Mathematics

2 answers:

9966 [12]3 years ago

8 0

Answer:

36070.6

Step-by-step explanation:

Stells [14]3 years ago

5 0

Answer:

Step-by-step explanation:

First off:

multiply 1.7x103 and you get 175.1 then you multiply 2x103 and you get 206.

multiply 175.1x206 and you get 36070.6

Final answer is 36070.6

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Nadya [2.5K]

In the given diagram, the value of AC is 24. The correct option is B. 24

<h3>Properties of rectangle </h3>

From the question, we are to determine the value of AC

From one of the properties of a rectangle, we have that

The diagonals of a rectangle are equal and bisect each other.

Then, in the given diagram

AC = DB

Thus,

3x - 6 + 3x - 6 = 2x + 2x

6x -12 = 4x

6x - 4x = 12

2x = 12

x = 12/2

x = 6

In the diagram,

AC = 3x - 6 + 3x - 6

AC = 3(6) -6 + 3(6) - 6

AC = 18 - 6 + 18 - 6

AC = 24

Hence, the value of AC is 24. The correct option is B. 24

Learn more on the Properties of a rectangle here: brainly.com/question/23008020

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Which property is represented by the following equation? 7 + 5 + 3 = 7 + 3 + 5

Dominik [7]

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A bag of rice weighs 2.5 pounds. How many ounces is that?

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4 years ago

Read 2 more answers

a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p

Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

ship includes the length of the permanent stone wall.

Response:

i) The length and width of the rectangular pen are; <em>x</em>, and $\dfrac{100 - x}{2}$ , therefore;

The area is; $A = \dfrac{1}{2} \cdot x \cdot (100 - x)$

$ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x$

$\dfrac{d^2A}{dx^2} = -1$

iii) The value of <em>x</em> that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let <em>x</em> represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, <em>w</em>, of the rectangular pen, $w = \mathbf{\dfrac{100 - x}{2}}$

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

$A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}$

$ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}$ , and $\mathbf{\dfrac{d^2A}{dx^2} }$ are found as follows;

$\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}$

$\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}$

iii) The value of <em>x</em> that makes the area as large as possible is given as follows;

Given that the second derivative, $\dfrac{d^2A}{dx^2} =-1$ , is negative, we have;

At the maximum area, $\dfrac{dA}{dx} = \mathbf{0}$ , which gives;

$\dfrac{dA}{dx} = 50 - x = 0$

x = 50

The value of x that makes the area as large as possible is <em>x</em> =<u> 50</u>

Learn more about the maximum value of a function here:

brainly.com/question/19021959

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2 years ago