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tekilochka [14]
3 years ago
10

Hello can you please help me posted picture of question

Mathematics
1 answer:
zhuklara [117]3 years ago
3 0
Since the order of selection does not matter, we will use combinations to solve this problem.

We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

30C6= \frac{30!}{6!*24!}  \\  \\ 
= 593775

This means the six teachers can be selected in 593775 ways.

So the correct answer is option A
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39 times 49 times 81
d1i1m1o1n [39]

Answer:

154,791

Step-by-step explanation:

7 0
3 years ago
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The end points of one diagonal of a rhombus are (-5,2) and (1,6). If the coordinates of the 3rd vertexare (-6,10), what are the
ad-work [718]
Look at the picture.

E\left(\dfrac{-5+1}{2};\ \dfrac{2+6}{2}\right)\to E\left(\dfrac{-4}{2};\ \dfrac{8}{2}\right)\to E(-2;\ 4)

\vec{BE}=[-2-(-6);\ 4-10]=[4;\ -6]

D(x;\ y)\\\\\vec{ED}=[x-(-2);\ y-4]=[x+2;\ y-4]\\\\\vec{ED}=\vec{BE}\ therefore\\\\ \ [x+2;\ y-4]=[4;\ -6]\to x+2=4\ and\ y-4=-6\\\\x=2\ and\ y=-2\\\\Answer:\ \boxed{A.\ (2;\ -2)}

8 0
3 years ago
Which is least 1.3 1 1/3 or 1.34
Evgesh-ka [11]
1.3 is the least because ur supposed to add a zero so they can all be the same place value
5 0
3 years ago
If the second hand of a clock has a length of 10 cm, find the distance the tip of the second hand travels in 45 seconds. Give an
UkoKoshka [18]

The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
  • L = 2πr∅/360.................. Equation 1

<h3> Where: </h3>
  • L = distance traveled by the tip of the second hand.
  • r = Length of the second hand
  • ∅ = angle formed by the second hand of the clock
  • π = pie

From the question,

<h3>Given:</h3>
  • r = 10 cm = 0.1 m
  • ∅ = (360×45/60) =  270°
  • π = 3.14

Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
  • L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

<h3 />

7 0
2 years ago
In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?
BartSMP [9]

Answer:

It's 39/89

Step-by-step explanation:

cos X = adjacent/ hypotenuse = 39/89

6 0
2 years ago
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