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Tatiana [17]
3 years ago
14

Solve the following, where 0° < θ < 360°. If cos θ=2/3 and tan θ<0 Find θ.

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

The angle θ = 312°.

Step-by-step explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°

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Which transformations are needed to change the parent cosine function to<br> y = 0.35cos(8(x-pi/4))
Levart [38]

Here's a list of the changes and their effect:

\begin{array}{c|c|c}\text{From}&\text{To}&\text{Effect}\\\cos(x)&\cos\left(x-\frac{\pi}{4}\right)&\text{Horizontal shift}\\\cos\left(x-\frac{\pi}{4}\right)&\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&\text{Horizontal compression}\\\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&0.35\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&\text{Vertical compression}\end{array}

So, the function is shifted \frac{\pi}{4} units to the right, then it is compressed by a factor 8 horizontally, and a factor 0.35 vertically.

8 0
3 years ago
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Colllect like terms 21b+b=  (simpify answer)
julsineya [31]
21 of anything plus one more of the same thing add up to 22 of those things. In this exercise, the 'things' happen to be 'b's.
3 0
3 years ago
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What is the value of x
gayaneshka [121]

Answer:

Assuming the other side is 30, x=12

Step-by-step explanation:

X+(X+6)=30

2x+6=30   (open the brackets by distributing the plus sign inside)

2x=24       (subtract 6 from both sides)

x=12          divide both sides by 12

This makes sense because of x is 6, and x+6 is 18, 6+18=30.

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Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometric
BaLLatris [955]

Answer:

  • C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The area is the function of the two dimensions.

If each dimension has changed by 10 times, the the area will change by:

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Correct choice is C

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3 years ago
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As treasurer of his school's FFA club, Kenny wants to buy gifts for all 18 members. He can buy t-shirts for $9 and sweatshirts f
DanielleElmas [232]

Kenny can buy 15 t shirts and 3 sweatshirts.

Step-by-step explanation:

Given,

Number of members = 18

Cost of each t shirt = $9

Cost of each sweatshirt = $15

Money = $180

Let,

x be the number of t shirts

y be the number of sweatshirts

According to given statement;

x+y=18       Eqn 1

9x+15y=180      Eqn 2

Multiplying Eqn 1 by 9

9(x+y=18 )\\9x+9y= 162\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(9x+15y)-(9x+9y)=180-162\\9x+15y-9x-9y=18\\6y=18\\

Dividing both sides by 6

\frac{6y}{6}=\frac{18}{6}\\y=3

Putting y=3 in Eqn 1

x+3=18\\x=18-3\\x=15

Kenny can buy 15 t shirts and 3 sweatshirts.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/10688256
  • brainly.com/question/10708697

#LearnwithBrainly

6 0
4 years ago
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