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Ilya [14]
3 years ago
9

Only 20% of the children at a party voted to have tacos for lunch. There were 20

Mathematics
2 answers:
stiks02 [169]3 years ago
5 0

Answer:

4 children

Step-by-step explanation:

Multiply the total amount of children by the percentage of children who voted to have tacos for lunch.

20% -> 0.2

20 * 0.2 = 4

aev [14]3 years ago
4 0

Answer:

4 children voted for tacos

Step-by-step explanation:

20% can also be written as 20/100

So in this case, there are 20 children total, the number of children voted for tacos is 20% or 20/100 * 20

= 20*20/100

= 400/100

Divide both side by 100, we got:

= 400/100 / 100/100

= 4 children

So 4 children voted for tacos

Hope this help you :3

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Evaluate 23x-1 for x = 1.
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Using the order of operations (PEMDAS)...

23 · 1 - 1 = ?
23 - 1 = ?
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2 years ago
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
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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
So if the value of the solid's surface area is equal to the volume. Find the value of x
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Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

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4

Step-by-step explanation:

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3 years ago
Write the equation of the line for the following table of values.
Luda [366]

Answer:

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Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

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From the table taking two points

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Thus, the slope of the line is:  m = 5

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3 years ago
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