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Damm [24]
4 years ago
14

Given cosx= 4/5 when (3π/2) < x<2π find sin2x

Mathematics
1 answer:
jarptica [38.1K]4 years ago
8 0

Answer:

D -24/25

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

cos(x) = ⅘

sin²(x) = 1 - cos²(x) = 1 - (⅘)²

sin²(x) = 9/25

sin(x) = -⅗

(Because 4th quadrant)

sin(2x) = 2(-⅗)(⅘)

= -24/25

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Romashka-Z-Leto [24]

3x = 4x + 2

-4x  -4x

-1x = 2

----  -----

-1      -1

x = -2

Check:

3(-2) = 4(-2) + 2

-6 = -8 + 2

-6 = -6

4 0
3 years ago
A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the
Vikki [24]
<h2>Answer:</h2>

The method suggested by Bobby is better than Allie.

<h2>Step-by-step explanation:</h2>

A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.

Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.

Whereas, Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. This method is a fair method.

The method suggested by Bobby is better than Allie as every student will get an equal chance to perform and also has an equal chance to win and get a high sum.

8 0
3 years ago
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Question #18: Three times as many boys as girls visited the mall in Deptford. A
romanna [79]

(boys)  x=3(y)

(girls)   y=x/3

Step-by-step explanation:

4 0
3 years ago
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mrs_skeptik [129]

Answer:

1. 55

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3. 95

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know5. it makes it odder.

Step-by-step explanation:

4 0
3 years ago
Identify the parameters p and n in the following binomial distribution scenario. The probability of winning an arcade game is 0.
Paraphin [41]

Answer:

p = 0.718 and n = 20

Step-by-step explanation:

p is the probability of success and n is the number of trials.

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3 years ago
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