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xxMikexx [17]
3 years ago
13

A machine is used to fill each of several bags with 16 ounces of sugar. If the bag

Mathematics
1 answer:
amm18123 years ago
6 0

Answer: 15.7oz < M < 16.3oz

Step-by-step explanation:

The average mass of each bag will be 16oz

If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.

Then the extremes are:

16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)

So we have that the mass of the bag must be larger than 15.7oz

M > 15.7oz

Now, the other extreme is:

16oz +0.3oz = 16.3oz (again, this a rejected mass)

Then the mass of the bag must be smaller than 16.3oz

M < 16.3oz

Then the range of the accepted mass of the bags is:

15.7oz < M < 16.3oz

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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
A package of twelve cans of the black beans cost $6.84. What is the cost of three cans of black beans?
valkas [14]

Answer:

$1.66

Step-by-step explanation:

First you need to divide $6.74 by 12 then you will get $0.55. Next you need to multiply $0.55 by 3 cans of black beans and you should get $1.66.

6 0
2 years ago
Giving BRAINLEST PLEASE HELP!
kicyunya [14]

Answer:

The answer to the first one should be $27.32 is what the full bill costs with tax.

The answer to the second one they added an 18% tip ontop.

Step-by-step explanation:

The explanation for the second one is 27.32*.18=4.92+27.32=32.24 meaning they gave an 18% tip.

4 0
2 years ago
What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80
koban [17]

Hey there!

"What ratio forms a proportion with \frac{14}{42} ?"

              - \frac{14}{45} =0.56 (for the decimal)

  • A) \frac{1}{4} =0.25 (incorrect)
  • B) \frac{7}{21} =0.33 (Incorrect)
  • C) \frac{12}{40} 0.3 (incorrect)
  • D) \frac{28}{80} 0.7 (incorrect)

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

  • 1\times2= 2 ;   4\times2 = 8 (incorrect)
  • 7\times 2= 14 ; 21\times2 = 42 (correct)
  • 12 \times2 = 24 ; 40\times 2 = 80 (incorrect)
  • 2 \times 28 = 56 ; 2\times 80 = 160 (incorrect)

Your result: \boxed{Answer: B. \frac{7}{21} }

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:) }



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3 years ago
I don’t know weather it is 2.6 or 2.3??? Plz help
svetlana [45]

Answer:

If T is tablespoons, 32 oz= 64 T.

Step-by-step explanation:

32 x 2= 64

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3 years ago
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