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OlgaM077 [116]
4 years ago
7

Barry buys a package of pasta for $2.39 and a jar of tomato sauce for $3.09. He uses a $0.75 coupon and a $0.50 coupon.

Mathematics
1 answer:
seraphim [82]4 years ago
6 0

Answer:$4.23

Step-by-step explanation:

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Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by four.
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\frac{ \pi }is the 45 degree angle. the whole circle is 2π. so the positive angle is π/4+2π =\frac{9 \pi }{4}
 the the negative angle is -(2π-π/4)= -\frac{7 \pi }{4}  
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Step-by-step explanation:

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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo
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When an spherical balloon volume is increasing at the rate of 3ft^3/min then the diameter of the balloon is increasing \frac{3}{2\pi }ft /min

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is v=\frac{4}{3} \pi r^3

In form of diameter we can write as

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Now we will differentiate both sides wrt to t we get

\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft

Given in the question \frac{dv}{dt} =3ft^3/min

thus when we substitute the values we get

\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi }  ft/min

Learn more about the differentiation here:

brainly.com/question/28046488

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Answer:

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Step-by-step explanation:

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