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Ber [7]
2 years ago
5

What is the range of the relation {(-6,4),(5,-1),(0,3),(-2,4)

Mathematics
1 answer:
atroni [7]2 years ago
5 0
ANSWER:
Domain: {-6,5, 0,-2}
Range: {4, -1,3, -4}
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Raise 2/7 to a fraction with denominator of 28.
Zigmanuir [339]
\frac{2*4}{7*4}= \frac{8}{28}
6 0
3 years ago
Read 2 more answers
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:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • 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
Jacob sells stools with round seats. if
Bas_tet [7]

The surface area of the stool is 3629.84 square cm

<h3>How to determine the surface area?</h3>

The radius is given as:

r = 34.2

The surface area is calculated using:

A = πr^2

So, we have:

A = 3.14 * 34^2

Evaluate

A = 3629.84

Hence, the surface area of the stool is 3629.84 square cm

Read more about surface area at:

brainly.com/question/6613758

#SPJ1

5 0
2 years ago
Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3
Tamiku [17]

The range of the function is {-34, -2, -20}

<h3>How to determine the range?</h3>

The function is given as:

f(x) = -2x^2 - 2

The domain is {-4, 0, 3}

Substitute the domain values in the function.

f(-4) = -2(-4)^2 - 2 = -34

f(0) = -2(0)^2 - 2 = -2

f(3) = -2(3)^2 - 2 = -20

This means that the range of the function is {-34, -2, -20}

Read more about range at:

brainly.com/question/10197594

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7 0
2 years ago
Ahsan
NikAS [45]

It is number 1 and number 2 because the equation is 242× 62 and Number 1 and 2 are just breaking it down

7 0
3 years ago
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