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e-lub [12.9K]
3 years ago
5

PLEASE HELP!!

Mathematics
2 answers:
Bess [88]3 years ago
5 0

Answer:

In step 2 and step 3 reasoning mistakes

Step-by-step explanation:

We are given that Arlene is showing her work in simplifying -7.9+8.2-3.4+2.1

We have to find error and correct the error made by Arlene in her work

Original problem : -7.9+8.2-3.4+2.1

Step 1: -7.9+8.2+(-3.4)+2.1

Additive inverse property

Step 2:-7.9+(-3.4)+8.2+2.1

Using Commutative property   (commutative property a+b=b+a)

Step 3:(-7.9+(-3.4))+(8.2+2.1)

Using associative  property   (Associative property a+(b+c)=(a+b)+c))

Step 4: -11.3+10.3

By Simplification

Step 5:-1

By simplification

Arlene simplify in correct way but she is doing mistake in reasoning in step 2 and step 3.

mixer [17]3 years ago
4 0

There is nothing wrong with Arlene's math. Her answer is correct. The mistake is that she has cited the "associative property" where the "commutative property" should have been cited, and vice versa.

The associative property has to do with where you put parentheses. The commutative property has to do with what order the operands are in.

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Answer:

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Step-by-step explanation:

There is no value p such that f(x) = f(x+p) for all x. Hence. the function is NOT PERIODIC.

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It seems possible that subtracting the linear increase would result in a periodic function. Because of the linear increase, there is no left- or right-shift of the function that will map it to itself.

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Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

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  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
You have a wooden rod which is 24 1/2 inches long. Carlos needs a piece which is 8 3/4 inches long and Amanda needs a piece whic
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Answer:

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Answer:

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Step-by-step explanation:

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