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d1i1m1o1n [39]
3 years ago
8

What fraction of 3 2/5 is 9 7/8

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

  395/136

Step-by-step explanation:

(9 7/8)/(3 2/5) = (79/8)/(17/5) = (79/8)(5/17) = 395/136

Since 9 7/8 is larger than 3 2/5, it is an improper fraction.

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6 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
Todd owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wetsuit
zepelin [54]

Answer:

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Step-by-step explanation:

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3 years ago
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zimovet [89]
The answer is 19mm ^2
pls make me brainliest hope this helps :)
6 0
2 years ago
I need some help on this, I do NOT get it lol
andrew11 [14]

Answer:

Logarithmic

Step-by-step explanation:

It's literally a logarithmic function because it includes "log" which is short for logarithmic.

3 0
3 years ago
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