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daser333 [38]
3 years ago
10

What is the value of x in the number 5/3+ 3x+4=8​

Mathematics
1 answer:
amm18123 years ago
4 0
5/3+3x+4= 8
= 3x= 4-5/3
= 3x= 7/3
= x= 7/9
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Help I will be marking brainliest!!!
Keith_Richards [23]
<h3>Answer:  A.  18*sqrt(3)</h3>

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer

----------------------

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

4 0
3 years ago
Jimmy thought he had purchased 7 folders but he only purchased 6. What was his percent error?
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6 percent of 7 is 86% so the percentage error is 24%

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Answer:

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Step-by-step explanation:

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2 years ago
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What is the difference between plotting (2, 3) and (3,2)<br> on a coordinate plane? Explain
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Answer:

Step-by-step explanation:

2,3 has I lower unit than 3,2 let’s say that we plot it we see that 2,3 is lower down 3,2 :)

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3 years ago
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What is the locus of centers of all circles passing through point A and Point B, which are two fixed points in a plane.
Aleks04 [339]

Answer:

  the locus is the perpendicular bisector of the segment

Step-by-step explanation:

The points equidistant from A and B lie on the line that is the perpendicular bisector of segment AB.

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<em>Comment on this geometry</em>

You take advantage of this fact when you construct a circle through 3 points. You construct the perpendicular bisectors of segments between pairs of the points, and locate the center of your circle at their intersection.

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