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trapecia [35]
3 years ago
5

Is sqrt(1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?​

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

  I and IV

Step-by-step explanation:

Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...

  √(cos(θ)²) = |cos(θ)| = cos(θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.

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Use grouping symbols and at least one exponent to write a numerical expression that has a value of 80.
Kaylis [27]

To group an expression, means that the factors of the expression are to be separated in (), [] or {}.

An expression with a value of 80 is: 2^2 \times ( [2 + 2] \times [3 + 2] )

The number is given as:

80

Factorize

80 = 2 \times 40

Factorize 40

80 = 2 \times 2 \times 20

Express 2 \times 2 as an exponent

80 = 2^2 \times 20

Express 20 as 4 x 5

80 = 2^2 \times ( 4 \times 5)

Express 5 as 3 + 2

80 = 2^2 \times ( 4 \times [3 + 2] )

Express 4 as 2 + 2

80 = 2^2 \times ( [2 + 2] \times [3 + 2] )

Hence, the above expression has a numerical value of 80

Read more about numerical expressions at:

brainly.com/question/24787226

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2 years ago
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viktelen [127]

Answer:

y = (3/2)x + 3

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3 years ago
The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for $4.44 B. 5 pe
Harrizon [31]
First we need to know how much each pen costs.  So we take 11.77 and divide it by 11.  That gives us 1.07 per pen.  So answer choice A has 4 pens for 4.44, so we need to multiply 1.07 x 4.  That gives you 4.28, so we know that isn't the correct answer.  For option B, we need to multiply 1.07 x 5.  That is 5.35, so that also can't be the answer.  For C, we need to do 1.07 x 6, and that gives us 6.42.  So we know the correct answer is option C.
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nikdorinn [45]
Let x be one number and y be the other.

#1 - Set up a system of equations.
4x = y
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#2 - Solve the system by substitution.
x + (4x) = 45
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Find the value of x.
aleksley [76]

Answer:

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3 years ago
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