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3 years ago

A farm is to be built in the shape of Quadrilateral ABCD, as shown below.

1 answer:

7 0

When we have diagonals $d_1$ and $d_2$ of a rhombus its area is:

$A=\dfrac{1}{2}\cdot d_1\cdot d_2=\dfrac{1}{2}\cdot |AC|\cdot |BD|=\dfrac{1}{2}\cdot12.6\cdot10.4=\dfrac{1}{2}\cdot 131.04=\\\\\\=\boxed{65.52\text{ feet}^2}$

Answer C)

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A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

Solution:

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

The formula for rectangle is given as:

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0

3 years ago

What is the value of the expression?

const2013 [10]

Answer:

Step-by-step explanation:

Use the correct order of operations and do one step at a time to avoid making mistakes.

$16 \div 4 + 2^3 \times 5 - 3 =$

$= 4 + 8 \times 5 - 3$

$= 4 + 40 - 3$

$= 44 - 3$

$= 41$

6 0

3 years ago

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Please help me out! And please show your work!! | | | v

Sedaia [141]

8/20 is your answer buddy

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3 years ago

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Which graph represents the sequence: 80, -40, 20

ANEK [815]

80/-40=-40/20=-2,
the sequence: 80, -40, 20 is a geometric sequence
its general formula is Vn+1 = q Vn, where q= -2,
if we put Vn+1 = f(x)
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so we have f(x)= -2x so the graph that represents the sequence is graph of linear equation

8 0

3 years ago

I need help with this please:/

ser-zykov [4K]

4.5
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2 years ago

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