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Elden [556K]
2 years ago
7

Select the correct answer.

Mathematics
1 answer:
timurjin [86]2 years ago
4 0

Answer:

B) -3.2

Step-by-step explanation:

-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2

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Give the sum of 3/4 7/12
denis23 [38]
The sum of 3/4 7/12 is 4/3
7 0
3 years ago
you flip a coin and then select one ball from a box that contains 6 balls number 1,2,3,4,5,6. how many oitcomes are in the sampl
ehidna [41]

There are 12 outcomes. The coin can land on either heads or tails, and then you can extract any number from 1 to 6 from the box. So, the outcomes are

  1. Heads, 1
  2. Heads, 2
  3. Heads, 3
  4. Heads, 4
  5. Heads, 5
  6. Heads, 6
  7. Tails, 1
  8. Tails, 2
  9. Tails, 3
  10. Tails, 4
  11. Tails, 5
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7 0
3 years ago
Prove that sinA-sin3A+sin5A-sin7A/cosA-cos3A-cos5A+cos7A= cot2A
MAVERICK [17]
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.

We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)

N = -(sin7A - sinA) + sin5A - sin3A
    = -2cos4A*sin3A + 2cos4A*sinA
    = 2cos4A(sinA - sin3A)
    = 2cos4A*2cos(2A)sin(-A)
    = -4cos4A*cos2A*sinA

D = cos7A + cosA - (cos5A + cos3A)
   = 2cos4A*cos3A - 2cos4A*cosA
   = 2cos4A(cos3A - cosA)
   = 2cos4A*(-2)sin2A*sinA
   = -4cos4A*sin2A*sinA

Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
       = cos2A/sin2A
      = cot2A

This verifies the identity.
4 0
3 years ago
Which best describes the orthocenter of a triangle?
Amiraneli [1.4K]
B is the correct answer
4 0
3 years ago
Two points on line p have
Andrews [41]

Answer:

D. ⅔

Step-by-step explanation:

I hope it helps :)

m =   \frac{y_2 - y_1}{x_2 - x_1}  \\ m =  \frac{3 - 1}{5 - 2}  =  \frac{2}{3}  \\ m = \frac{2}{3}

6 0
3 years ago
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