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Finger [1]
2 years ago
8

A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.

Mathematics
1 answer:
Gwar [14]2 years ago
3 0

Answer:

directly

Step-by-step explanation:

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Find the value of sin(a/2) if cosa= 12/13<br>​
daser333 [38]

Answer: sin\frac{a}{2} = ± \frac{1}{\sqrt{26} }

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\sqrt{(1-} \frac{cos2A}{2} )

As required,  set A = \frac{a}{2}   &   cos a=  \frac{12}{13}    ,thus we get

sin \frac{a}{2} =± \sqrt{\frac{1-cos a}{2} }  

∴ sin\frac{a}{2} =±\sqrt{\frac{1-\frac{12}{13} }{2} } = ± \frac{1}{\sqrt{26} }

   since ,360° < \frac{a}{2} <450°

             ,180° < \frac{a}{2} <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

5 0
2 years ago
Find the measures of the missing angles <br><br><br><br> Help pleaseee
kondaur [170]

Answer:

Nwm miałem to dawno powodzenia

6 0
2 years ago
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In the diagram, r || s. Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from the top left, the a
Softa [21]
24.8 sorry I couldn’t find this question sooner
5 0
2 years ago
VWX and NOP are similar. If mV=44 and mP=66, what is mW
Elena L [17]

It is given that the two figures are similar. This means that mV is equal to mN, mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle is equal to 180 degrees.

<span>                          mV + mW + mX = 180</span>

 

Substituting the known variables and the conditions given in the description of the similar triangles,

<span>                           44 + mW + 66 = 180</span>

<span>The value of mW in the equation is 70 degrees. </span>

3 0
3 years ago
If TRAP is an isosceles trapezoid, what is the value of X?<br> 6x"<br> (2x + 4)"
Eva8 [605]

Answer:

The answer is 22.

Step-by-step explanation:

6x+2x+4=180

8x+4=180

8x=176

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4 0
3 years ago
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