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3 years ago

If r=8 and h=4, what is the volume of the cylinder shown above

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Lets get started :)

The Volume formula of a Cylinder is
V = $\pi$ r²h
(r = radius, h = height)

The radius given is 8 and the height is 4, We can plug in the known values

V = $\pi$ (8)²(4)
= $\pi$ 256
= 256 $\pi$ units³ (You can leave the answer in this form)
≈ 804.2 units³ (approximately)

Units³ because it is a volume (3D shape)

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16. Find the value of y.

devlian [24]

y + (2x -12) = 180 (since they are supplementary angles)

(2x-12) = 96 ( since they are alternate exterior angle)

2x = 96 + 12

2x = 108

x = 108/2

x = 54.

y+( 2x-12)=180

y+(2× 54 -12) = 180

y + (108-12) = 180

y + 96 = 180

y= 180-96

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3 years ago

Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest ten

Mkey [24]

Answer:

85.5 minutes

Step-by-step explanation:

The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;

Nt = N0 × e^(-λt)

Where;

Decay constant λ = ln(2)/th, substituting into the equation;

Nt = N0 × e^(-ln(2)t/th)

We need to make t the subject of formula;

Nt/N0 = e^(-ln(2)t/th)

ln(Nt/N0) = -ln(2)t/th

t = ln(Nt/N0) ÷ -ln(2)/th

Given;

Initial amount N0 = 760g

Final amount Nt = 11 g

Half life th = 14 minutes

the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;

t = ln(Nt/N0) ÷ -ln(2)/th

Substituting the given values;

t = ln(11/760) ÷ -ln(2)/14

t = 85.5 minutes

4 0

3 years ago

You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spen

mr Goodwill [35]

700+0.15m=750

(m is miles)

Hope this helps!! :)

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3 years ago

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AveGali [126]

Answer: He bought about 6 sodas.

Step-by-step explanation:

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Let x = Number of sodas purchased

Then

$78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6$

Hence, he bought about 6 sodas.

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3 years ago

Please help me with this math problem

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Answer:

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