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luda_lava [24]
3 years ago
8

Solve for x Help please

Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

<h2>a)4√3</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • trigonometry
  • PEMDAS
<h3>tips and formulas:</h3>
  • tan(60°)=√3
  • tan(a)=opp/adj
<h3>let's solve:</h3>
  1. \sf substitute \: the \: value \: of \:  \tan( {60}^{ o} )  :  \\  \sqrt{3}  =  \frac{x}{4}
  2. \sf cross \: multipication :  \\  \therefore \: x = 4 \sqrt{3}

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What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34
Galina-37 [17]

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30              given

a1 = 6               given  

t30 = 209         calculated from step 2

Sum = (a1 + t30)*n/2        Substitute

Sum = (6+ 209)*30/2       Combine like terms and divide by 2

sum = 215 * 15                  Multiply

Sum = 3135                      Answer

4 0
3 years ago
Slope 4.2; y-intercept (0,3.4)
umka2103 [35]

Answer:I don't know if you're asking for equation or not cause you didn't mention the question so I'm just gonna write down the equation.

y=4.2x+3.4

Use this formula➡️y=mx+b

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You said it's the y-intercept but it's not. it's just a point on the graph

Step-by-step explanation:

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4 years ago
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3 years ago
The margin of error in a confidence interval estimate accounts for:_________
dusya [7]

Answer:

The percentage points within which the obtained results would differ from the real population value.

Step-by-step explanation:

The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.

Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.

3 0
3 years ago
What is the quotient of 2/3 / 2/9
gogolik [260]

Answer:

3

Step-by-step explanation:

\frac{2}{3} / \frac{2}{9} =

\frac{2}{3} * \frac{9}{2} =

3

Hope this helped! <3

4 0
3 years ago
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