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3 years ago

Which values for e have the same reference angles?

Mathematics

1 answer:

Harman [31]3 years ago

7 0

Hey there! :)

Answer:

Choice 4: π/4, 3π4, 7π/4

Step-by-step explanation:

For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:

Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.

Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.

Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.

Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.

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Together a boogie board, surfboard, and wetsuit cost $1,312. The surfboard cost six times the boogie board, and the wetsuit is $

marissa [1.9K]

Answer: See explanation

Step-by-step explanation:

Let the cost of the boogie board be represented by x.

The surfboard cost six times the boogie board. Therefore, surfboard =6x

The wetsuit is $300 less than the surfboard. This means wetsuit = 6x - 300

Together a boogie board, surfboard, and wetsuit cost $1,312. Therefore,

x + 6x + 6x - 300 = 1312

13x = 1312 + 300

13x = 1612

x= 1612 / 13

x = 124

Boogie board cost $124

Surfboard = 6x

= 6 × $124

= $744

Wetsuit = 6x - 300

= $744 - $300

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3 years ago

Bradley had 25 baseball cards in his collection. He receives x number of baseball cards for his birthday.

timofeeve [1]

Answer:

25+x=y

Step-by-step explanation:

First, we start as 25, the number of cards he has in his collection. Then we add x, the cards he receive. The sum is y.

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3 years ago

What is the zero of the function below?

Ymorist [56]

x = 1

Step-by-step explanation:

Given data: $f(x)=3 \sqrt{x+3}-6$

Recall: If f(x) = 0, then x is called the zero of the function.

To find zero of the function, take f(x) = 0.

$\Rightarrow 3 \sqrt{x+3}-6=0$

Add 6 to both sides of the equation.

$\Rightarrow 3 \sqrt{x+3}=6$

Divide both sides of the equation by 3.

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Taking square on both sides of the equation.

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