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OverLord2011 [107]
3 years ago
6

Find the value of x round to the nearest tenth, i'm good with all other trigonometry lol

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

8.4 cm

Step-by-step explanation:

The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.

Substitute:

tanx = opp/adj

tan35 = x/12

Multiply by 12 on both sides:

12(tan35) = (x/12)12

12(tan35) = x

Solve:

12(tan35) = x

8.4 = x

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the answer should be 288

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Answer:

9.38 \times 10^{2}

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       m \times 10^n,

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Rewrite 3 x 6/8 as the product of a unit fraction and a whole number
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4 0
4 years ago
7) To determine how many pages would be need to make 3
ivanzaharov [21]

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7 0
3 years ago
In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen
Lesechka [4]

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}}  + \frac{s_{2}^{2} }{n_{2}} } }

Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42}  + \frac{0.02496 }{42} } }

Z = \frac{0.127 }{\sqrt{0.001468}}

Z = \frac{0.127 }{0.0377}

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

5 0
3 years ago
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