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3 years ago

Find the value of X.

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

Answer:

Given,

CB=X

CD=3

CA=3+7=10

HERE,

${(cb)}^{2} = cd \times ca \\ {x}^{2} = 3 \times 10 \\ {x}^{2} = 30 \\ x = \sqrt{30}$

Hope this helps...

Good luck on your assignment..

fenix001 [56]3 years ago

3 0

X= square root of 30

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saveliy_v [14]

$\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}$

6x + 20

Step-by-step explanation:

To find :-

Perimeter of rectangle

Given :-

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Solution :-

We know that

$\mathfrak {perimeter \: of \: rectangle =2(length + breadth) }$

Now we will substitute the values of length and breadth

$\sf \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\ \\ \\ \sf \longmapsto perimeter = 2 \{3x + 10 \} \\ \\ \\ \sf \longmapsto perimeter = 6x + 20$

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Peter needs to build a fence around his small garden. The length of the fence can be no more than 10 ft., and he has 50 ft. of f

dsp73

Answer:

A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length

In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,

W, to represent the side of fencing parallel to the 4th side or backyard fence.

Since we know we only have 80 feet of fence available, we know that

L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L

Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so

A = LW = L(80 – 2L)

A(L) = 80L – 2L2

This formula represents the area of the fence in terms of the variable length

Step-by-step explanation:

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Answer:

x = 5

Step-by-step explanation:

The given equation is :

2(1+7x)=72

Use the distributive property to the LHS.

2(1)+2(7x) = 72

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Subtract 2 from both sides.

2+14x-2 = 72-2

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3 years ago

Solve the inequality | x + 5/3 | -3 > 6

horrorfan [7]

Answer

The solution to the inequality is x > 22/3 or x < -32/3

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The given inequality is:

$|x+\frac{5}{3}|-3>6$

The inequality can be solved as follows:

$\begin{gathered} |x+\frac{5}{3}|-3>6 \\ \\ Take-3\text{ }to\text{ }the\text{ }other\text{ }side\text{ }of\text{ }the\text{ }inequality\text{ }sign \\ \\ |x+\frac{5}{3}|>6+3 \\ \\ |x+\frac{5}{3}|>9 \end{gathered}$

Now, split the absolute value into two inequalities, for case > 9 or < -9

$\begin{gathered} x+\frac{5}{3}>9\text{ }or\text{ }x+\frac{5}{3}9-\frac{5}{3}\text{ }or\text{ }x\frac{22}{3}\text{ }or\text{ }x$

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1 year ago