Answer: The Millers need 15 gallons of water for 6 minutes.
Lets start by finding how much water is needed for 1 min shower.
<span>
25 gallons of water is used for 10 min shower:
</span>10 mins = 25 gallons <span>
To find 1 min shower, we will divide the 25 gallons of water by 10.
</span><span>
10 mins = 25 gallons </span>← Divide by 10 on both sides<span>
÷ 10 ÷ 10
1 min = 2.5 gallons
Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.
1 min = 2.5 gallons</span> ← Multiply 6 on both sides<span>
x6 x6
6 min = 15 gallons
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Answer: The Millers need 15 gallons of water for 6 minutes.
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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!
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:

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! :)
Answer:
C
Step-by-step explanation:
Use sin, cos, tan formula