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miss Akunina [59]
2 years ago
12

Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]

Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).

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There are 324 students in Jefferson middle school. 5/12 of the students are 7th graders. 1/4 of the students are 9th graders. Th
Greeley [361]

Answer:

They are 108 8th graders at Jefferson Middle School

Step-by-step explanation:

324 x 5/12 = 135 7th graders

324 x 3/12 = 81 9th graders

324 x 4/12 = 108 8th graders

3 0
3 years ago
There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando
Tju [1.3M]

With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.

With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.

P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13

So the answer is B.

3 0
3 years ago
Read 2 more answers
3 and 3 over 4 x 3 over 5
forsale [732]
Do 33/4 times 3/5 and then get your answer.


I think so
5 0
3 years ago
Factor out the GCF -2x^2 - 4x - 6
andrew-mc [135]

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

<h3>What is Greatest Common Factor?</h3>

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

-2(x^2-3x)+(x-3)

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence  -2(x+1)(x-3) is the Greatest Common factor of  -2x^2-4x-6 is

Learn more about Greatest Common factor on:brainly.com/question/219464

#SPJ1

3 0
1 year ago
.Find the area of the square park whose perimeter is 120m.
UNO [17]

Answer:

30 squared meters

120/4=30.

3 0
3 years ago
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