3×2=6+4=d the 3×2 is how much the cost is and 6+4 is 10 so she paid 10 dollars
Answer:
u=0.375
Step-by-step explanation:
First we can write the equation down, -6(-4u+4)-6u=2(u-5)-8. First what you want to do is distribute -6 to (4u+4) and 2 to (u-5). This would result in 24u-24-6u=2u-10-8. Next add up all like terms and you will get 18u-24=2u-18. Next you would want to add 24 on both sides so that you get 18u=2u+6 then subtract 2u from both sides to get 16u=6. You the divide 16 on both sides to get u=0.375.
Answer: Choice C
7 divided by cosec 50 degrees
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Explanation:
Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)
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Let the horizontal leg be x
This leg is opposite the angle 50 degrees. The hypotenuse is 7
Opposite = x
Hypotenuse = 7
We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite
Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule
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cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)
This is why the answer is choice C
Answer:
295 minutes
Step-by-step explanation:
It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.
Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.
Time taken to drink 2/7 of a cup = 1 hour = 60 minutes
Time taken to drink 1 cup = 
minutes
Time taken to drink 1+17/42 cups = 
minutes
Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.
