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Eduardwww [97]
3 years ago
13

Find all real numbers on the interval [0.2 t) that satisfy the equation. Use radian measure.

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

  x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}

Step-by-step explanation:

The equation can be put into standard form by adding 1:

  2cos²(x) +3cos(x) +1 = 0

  (2cos(x) +1)(cos(x) +1) = 0

Values of cos(x) that make this true* are ...

  cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3

  cos(x) = -1 . . . . . . . . . . . true for x=π

__

A graphing calculator can be helpful here, too.

_____

* from your knowledge of the short table of trig functions and their signs in different quadrants

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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The
Delvig [45]

10 small boxes and 11 large boxes were shipped.

Step-by-step explanation:

Given,

Total boxes shipped = 21

Total volume of shipped boxes = 342 cubic feet

Volume of each small box = 10 cubic feet

Volume of each large box = 22 cubic feet

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=21     Eqn 1

10x+22y=342    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+22y)-(10x+10y)=342-210\\10x+22y-10x-10y=132\\12y=132

Dividing both sides by 12

\frac{12y}{12}=\frac{132}{12}\\y=11

Putting y=11 in Eqn 1

x+11=21\\x=21-11\\x=10

10 small boxes and 11 large boxes were shipped.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4793866
  • brainly.com/question/4824362

#LearnwithBrainly

3 0
3 years ago
A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?
ella [17]

Answer:

about 2714.34 in^3

Step-by-step explanation:

24/2=12--radius

12/2=6--height

formula is V=(pi)(r^2)(h)

r is for radius and h is for height

V=(pi)(12*12)(6)

V=(pi)(144)(6)

V=(pi)(864)

V= about 2714.34 in^3

4 0
3 years ago
What are the first seven terms of the sequence whose first term is 100, and each term after the first is 8 less than the precedi
-BARSIC- [3]
100, 92, 84, 76, 68, 60, 52.
8 0
3 years ago
What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}
rosijanka [135]

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

7 0
3 years ago
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I need the correct newer
MatroZZZ [7]

Answer:

I cant see anything is it possiable for you go write it out

Step-by-step explanation:


7 0
3 years ago
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