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kozerog [31]
3 years ago
8

What is equivelent to 4.05 repeating

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}

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What is the approximate value of x in the diagram below
Anon25 [30]

Answer:

x = 8 cm

Step-by-step explanation:

The first step in solving this problem is to determine which trig function applies.  The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.  

The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse.  In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).

We need to determine the value of x.  Adapt the above equation to this particular situation:  sin 25 degrees = x/(18 cm).

To solve for x, multiply both sides of the most recent equation, above, by (18 cm).  The following results:  (18 cm)(sin 25 degrees) = x.

Next, use a calculator to find the value of sin 25 degrees:  It is 0.4226.

Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm.  This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.

5 0
3 years ago
Multiplying binomials: (a+7) * (a-4)
oee [108]
<span>(a+7) * (a-4)

a^2 - 4a + 7a - 28

a^2 + 3a - 28</span>
4 0
3 years ago
Read 2 more answers
In circle D with m \angle CDE= 76m∠CDE=76 and CD=13CD=13 units find area of sector CDE. Round to the nearest hundredth.
Ksju [112]

Answer:

112.03sq. units

Step-by-step explanation:

The area of a sector = theta/360 * πr²

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This gives the area of the sector

7 0
2 years ago
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topjm [15]

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4 0
3 years ago
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

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x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

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A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
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