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lisabon 2012 [21]
3 years ago
14

Match each statement with its equivalent statement:

Mathematics
1 answer:
hammer [34]3 years ago
8 0

The ABC and XYZ statements are trigonometric statements

  • The equivalent of A is Z
  • The equivalent of B is X
  • The equivalent of C is Y

<h3>How to match the statements?</h3>

<u>A. sin^2 ⁡θ</u>

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

<u>B. sin⁡(-θ)</u>

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

<u>C. tan⁡θ</u>

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

Read more about trigonometry ratios at:

brainly.com/question/11967894

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sheila has to pack 128 baskets of apples. she has packed 1/4 of the basket. How many baskets are left for her to pack
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To answer this we will DIVIDE the amount of baskets by 4 (since it is 1/4) to see how many she has ALREADY packed, and ho many she has left. Lets do it:-

128 ÷ 4 = 32 

CHECK OUR WORK:-

32 × 4 = 128.

So, she has done 32 baskets. lets see how many more she needs to pack:-

128 - 32 = 96.

So, Shelia has 96 baskets LEFT to pack,

Hope I helped ya!! 
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Which is correct? 1, 2 , 3, or 4?
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Step-by-step explanation:

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Suppose the function of h is defined, for all real numbers as follows: (f) x = -3 if x is &lt;) 3 if x is =0 -2 if x is &gt; 0
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Answer:

See explanation

Step-by-step explanation:

The question is not properly presented; I will answer this with the following similar question.

h(x) = -\frac{1}{3}x^2 + 4 --- x \ne 2

h(x) = -4 --- x= 2

Required

h(-5)\ \&\ h(2)

<u>Calculating h(-5)</u>

This implies that: x = -5

-5 \ne 2

So, we make use of:

h(x) = -\frac{1}{3}x^2 + 4

Substitute -5 for x

h(-5) = -\frac{1}{3} * (-5)^2 + 4

h(-5) = -\frac{1}{3} * 25 + 4

h(-5) = -\frac{25}{3} + 4

Take LCM

h(-5) = \frac{-25+12}{3}

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<u>Calculating h(2)</u>

This implies that: x = 2

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So, we make use of:

h(x) = -4

Substitute 2 for x

h(2) = -4

<em>Use the above explanation to answer your question</em>

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