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Snezhnost [94]
2 years ago
5

Find the missing side of the triangle

Mathematics
2 answers:
Vilka [71]2 years ago
5 0

Answer:

the missing side of triangle is

\sqrt{y {}^{2} - {26}^{2}}

masya89 [10]2 years ago
3 0

Answer:

  • y = 66.66

Step-by-step explanation:

<u>Use trigonometry:</u>

  • cosine = adjacent / hypotenuse
  • cos 67° = 26/y
  • y = 26 / cos 67°
  • y = 26 / 0.39
  • y = 66.66
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Eva8 [605]

Answer:

a) <em>Z-score = 0.75</em>

b) <em>Z-score = -32.833</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

<u><em>Step(ii):-</em></u>

<em>      </em>Z = \frac{x-mean}{S.D}<em></em>

<em>     </em>Z = \frac{42-33}{12} = 0.75<em></em>

<u><em>Step(iii):-</em></u>

<em>Given that mean of the Population = 89</em>

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

<em>   </em>Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }<em></em>

<em>     </em>Z = \frac{82-89}{\frac{1}{\sqrt{22} } } =  -32.833<em></em>

<em>Z-score = -32.833</em>

<em></em>

7 0
3 years ago
Each shape is 1 whole. What fraction is represented by the shaded part of the model?
crimeas [40]
4/4 parts is shaded
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3 years ago
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Bryan earns $7.50 per hour working at mcdonalds and $6.00 per hour mowing lawns. Last week he worked 40 hours and earned $282. H
scoundrel [369]

Answer:

12 hr. mowing lawns

28 hr. working at Mc Donalds

Step-by-step explanation:

Let t = time mowing lawns

then 40 - t = time working at McDonalds

7,5(40 - t) + 6t = 282

300 - 7.5t + 6t = 282

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8 0
2 years ago
Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1
Sholpan [36]

Answer:

x + 3y -z - 3 = 0      

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

\langle 3,0,3\rangle, \langle0,1,3\rangle

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0

It is the required equation of plane.

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3 years ago
Marcia needs to paint all the faces and the base of a model of a pyramid she made for her history project. The dimensions of the
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The answer would have to be b
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