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Serga [27]
3 years ago
6

1. Select all of the true statements.

Mathematics
1 answer:
slega [8]3 years ago
5 0
Answer: B, C, D, and E
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Which expression does sine of the quantity pi plus theta end quantity plus cosine of the quantity pi over 2 minus theta end quan
LiRa [457]

Answer:

  (c)  0

Step-by-step explanation:

Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.

__

We can start with the identity ...

  cos(x) = sin(x +π/2)

Substituting the argument of the cosine function in the given expression, we have ...

  cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)

__

The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...

  sin(π +θ) = -sin(θ)

The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...

  cos(π/2 -θ) = -sin(θ -π) = sin(θ)

Then the sum of terms is ...

  sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0

The sum of the two terms is identically zero.

5 0
2 years ago
A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field. a rectangle with the
UkoKoshka [18]

a.  The area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

b. In scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

c. we choose our final answer to have the least significant digit of 2.

<h3>Part A) How to find the portion of the field that has crops growing?</h3>

Since the field is rectangle, the area of the field is given by A = LW where

  • L = length of field and
  • W = width of field.

Given that the field is a rectangle with the bottom labeled 2.7 × 10³ ft and the right side labeled 3.5 × 10³ feet.

The

  • length L = 2.7 × 10³ ft and
  • Width W = 3.5 × 10³ ft

Since the crops are grown on half of the field we have that the area of the crops is A' = A/2

= LW/2

= (2.7 × 10³ ft × 3.5 × 10³ ft)/2

= (9.45 × 10⁶ ft²)/2

= 4.725 × 10⁶ ft²

≅ 4.7 × 10⁶ ft² to 2 significant digits

So, the area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

<h3>Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units. </h3>

So, in scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

<h3>C) Explain how you chose the number of significant digits in the final answer.</h3>

By the rule of multiplication of number, the result of the product of two numbers cannot have more significant digits than the number with the least significant digit.

So, since the least significant digit is 2, we choose our final answer to have 2 significant digits

So, we choose our final answer to have the least significant digit of 2.

Learn more about scientific notation here:

brainly.com/question/27862246

#SPJ1

8 0
2 years ago
What is the volume of the prism, to the nearest cubic inch?
vampirchik [111]

the volume of the prism is 16

8 0
3 years ago
Find the Mean, Median, and Mode by reading the question:
Harrizon [31]

Answer:

1060

Step-by-step explanation:

1060

3 0
2 years ago
Alexandra completed 40% of a 50-question assignment. How many questions did she complete?
Afina-wow [57]

Answer:

20 questions

Step-by-step explanation:

Well, 10% of 50 is 5, and 5 x 4  = 20. Another way is 50 x .4

7 0
3 years ago
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