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FrozenT [24]
3 years ago
15

Write the function f(x)=-3x^(2)+18x-24 in intercept form

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

x=67

Step-by-step explanation:

chicken <3

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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:

  • 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
Last week you watch four hours of TV this week you watched eight hours TV place points on the graph to show your activity for la
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

You should place a point on the graph at 4 for four hours of TV last week. And place a point at 8 for eight hours of TV this week.

8 0
3 years ago
What is this angles measure?
sukhopar [10]

Answer:

22

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
A fruit bowl contains 3 apples, 4 pears, and 4 oranges. Kayla selects 2 fruits at random without replacement. What is the probab
love history [14]
Pick 1: 3 apples out of 11 pieces of fruit → 3/11
Pick 2: 4 oranges out of 10 pieces of fruit → 4/10 = 2/5

Pick 1 AND Pick 2
  3/11    x      2/5      =  6/55
3 0
3 years ago
According to the Guinness book of world records the heaviest baby ever born was 29 pounds , 4 ounces what was the baby’s mass in
viktelen [127]

Answer: 13.268 kilograms

Step-by-step explanation:

29.25 lb × 0.45359237

= 13.267576823 kg

Hope this helps!!! Good luck!!! ;)

3 0
3 years ago
Read 2 more answers
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