What is 14 1/4 - 13 5/6 =

the figure below shows andrews plan for a deck. Explain how to use triangles and rectangles to determine the area of the deck.

ELEN [110]

To find the area of the deck, we need to calculate the area of triangle and rectangles

Lets find the area of triangle A

Area of triangle = $\frac{1}{2} * base * height$

base = 9 and height =10

So area of triangle A = $\frac{1}{2} * 9 * 10$ = 45

Area of rectangle = Base * height

Base of rectangle B = 9ft

Height of rectangle B = 12ft

Area of rectangle B = 9*12 = 108 square feet

Base of rectangle C = 24ft

Height of rectangle C = 22ft

Area of rectangle C = 24 * 22 =528 square feet

Area of the deck = Area of A + area of B + area of C

= 45 + 108 + 528

= 681 square feet

4 0

3 years ago

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Estephany has a box that is filled with toys. The box has a length of 3.5 feet, a width of 6 feet, and a height of 3 feet. What

Zigmanuir [339]

Answer:

63

Step-by-step explanation:

The formula for volume of a box is length×width×height = volume

So you would multiply 3.5×6×3=63

6 0

3 years ago

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; x, 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 x 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 x represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, w, 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 x 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 x = 50

Learn more about the maximum value of a function here:

brainly.com/question/19021959

7 0

2 years ago

Someone help me with these problems ASAP

mezya [45]

Times all the numbers together then divide by the number of numbers there are.

5 0

4 years ago

2.) What amount presently must be invested earning 5.25% compounded continuously

julsineya [31]

The amount A resulting from a principal amount P being invested at rate r compounded continuously for time t is given by

... A = P·e^(rt)

FIll in your given values and solve for P.

... 25000 = P·e^(0.0525·12) = P·e^0.63

... P = 25000/e^0.63 ≈ 13314.80 . . . . . divide by the coefficient of P

The amount that must be invested is $13,314.80.

5 0

3 years ago

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