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timurjin [86]
3 years ago
7

A container for a household cleaner holds 7/4 of a gallon. How much does it hold when it is 2/3 full?

Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

1⅙ gal  

Step-by-step explanation:

  ⅔ × ⁷/₄      Cancel 2s

= ⅓ × ⁷/₂       Multiply numerators and denominators

= ⁷/₆              Convert to a mixed number

= 1⅙

The container holds 1⅙ gal when it is ⅔ full.

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Answer:

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Step-by-step explanation:

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6 0
4 years ago
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Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the 5 remaining trigonometric func
neonofarm [45]

Answer: See step by step. Replace the x with theta

Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.

We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.

We can find tangent by using the identity

tan^{2} (x)+ 1=sec^{2} (x) where x is theta.

tan^{2} (x)+1=\frac{289}{225}

tan^{2} (x)+\frac{225}{225} =\frac{289}{225}

tan^{2}(x)=\frac{64}{225}

tan x=\frac{8}{15}, Tangent in the fourth  quadrant is negative  so  the answer is instead

tan x= -\frac{8}{15}

We can find cotangent by taking the recipocial of tan so

cot=-\frac{15}{8}

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

cos =\frac{15}{17}

We can find sin by doing quoteint identies.

\frac{sin x}{cos x} =tan x

\frac{ sin x}{15/17} =-\frac{8}{15}

sin x= -\frac{8}{17}

To find csc, take reciprocal of sine.

csc=\frac{-17}{8}

7 0
3 years ago
Suppose that you have $10,000 to invest over a 3 year period. There are two accounts to choose from: 4% compounded monthly or 3.
zzz [600]
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3.5% compounded continuously:  $10000e^[0.035*3] = $11107.11.

Which one pays the most in interest?
5 0
3 years ago
Which radian measure is equivalent to −15°?
slega [8]

Answer:

Step-by-step explanation:

to convert degree to radians multiply with π/180

therefore -15° =-(15 ×π/180) = -π/12

6 0
3 years ago
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zmey [24]
It's asking you to work out how many minutes it will take to drive to a school if you're driving at a speed of 35 miles per hour (mph).

But there's a problem with the question because it doesn't tell you how far away the school is.

But this is how you are supposed to do it:

Distance ÷ 35 = answer (in hours)
Answer (in hours) × 60 = Final answer (in minutes). 

It's like this because time = distance ÷ speed, and the question asks for the answer in minutes, but the unit is in miles per hour, so you multiply by 60 to get the answer in minutes.

Hope I helped :)
8 0
3 years ago
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