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vovangra [49]
2 years ago
12

Three hikers equally shared One-half gallon of water. Explain how you would use an area model to find the amount of water each h

iker drank.
Mathematics
1 answer:
givi [52]2 years ago
7 0

Answer:

1/6 gallon of water

Step-by-step explanation:

Number of hikers = 3

Quantity of water shared = 1/2 gallon of water

If the water was shared equally among the hikers, then,

Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers

= 1/2 ÷ 3

Multiply 1/6 by the reciprocal of 3

The reciprocal of 3 = 1/3

1/2 ÷ 3

= 1/2 × 1/3

= (1 * 1) / (2 * 3)

= 1/6

Amount of water each hiker drank = 1/6 gallon of water

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The values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = <u>tanθ.cosθ</u>

cosθ = <u>sinθ/tanθ</u>

secθ = <u>1/cosθ</u>

cscθ = <u>1/sinθ</u>

tanθ = <u>sinθ/cosθ</u>

cotθ = <u>cosθ/sinθ</u>

<h3>Trigonometric functions </h3>

From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ

  • sinθ

NOTE: tanθ = sinθ / cosθ

∴ sinθ = tanθ.cosθ

  • cosθ

From above, we can write that

cosθ = sinθ/tanθ

  • secθ

Secant is the <u>inverse</u> of cosine

∴ secθ = 1/cosθ

  • cscθ (cosecθ)

Cosecant is the <u>inverse</u> of sine

∴ cscθ = 1/sinθ

  • tanθ

tanθ = sinθ/cosθ

  • cotθ

Cotangent is the <u>inverse</u> of tangent
∴ cotθ = 1/tanθ

But, tanθ = sinθ/cosθ

∴ cotθ = cosθ/sinθ

Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = <u>tanθ.cosθ</u>

cosθ = <u>sinθ/tanθ</u>

secθ = <u>1/cosθ</u>

cscθ = <u>1/sinθ</u>

tanθ = <u>sinθ/cosθ</u>

cotθ = <u>cosθ/sinθ</u>

Learn more on Trigonometric functions here: brainly.com/question/10316891

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4 0
1 year ago
Look at Diagram.<br> It says,"<br> ST and TU are tangent to Q. What is the value of x?"
shutvik [7]

Answer:x=18

Step-by-step explanation:2x-9=x+9

3 0
3 years ago
i am stuck on a question and i need help solving it so, this is my question what is 9n-12=3n if someone could help me i would ap
Mamont248 [21]

Answer:

The answer is n=1

Step-by-step explanation:

The steps are in the picture. Hope this helps :)

5 0
2 years ago
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Daniel sold his washing machine for $829. He orignally paid $975 for it. What is Daniel's percentage loss?
Lynna [10]
Aproximately 15%

975-829=146 (difference)
(146/975)×100 = 14.974435897
7 0
3 years ago
A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of
Studentka2010 [4]

Answer:

The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

Step-by-step explanation:

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of  8 dollars.

Mean = \mu = 87

Standard deviation = \sigma = 8

We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)

Z=\frac{x-\mu}{\sigma}

At x = 104.60

Z=\frac{104.60-87}{8}

Z= 2.2

At x=108.20

Z=\frac{108.20-87}{8}

Z= 2.65

Refer the z table for p value :

P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099

Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

4 0
3 years ago
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