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Lunna [17]
3 years ago
13

What is the exact volume of a cylinder with a radius of 3in and a height of 6in

Mathematics
2 answers:
NARA [144]3 years ago
6 0
V=pi•r^2•h. V=pi•3^2•6 V=169.65=170
EastWind [94]3 years ago
4 0
Answer: Volume: 169.646

Work: Formula - Volume = π*radius^2*h

V=π·r^2·h=π·3^2·6 ≈ 169.646

(If you need extra help search "formula for cylinder volume" in google and a calculator for it pops up)
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A student can pitch a fast ball at 65 miles per hour. Convert this
AnnyKZ [126]

Answer:

31.77 yd/sec

Step-by-step explanation:

<u>Conversions:</u>

  • 1 mile = 1760 yards
  • 1 hour = 3600 seconds

<u>Given:</u>

\sf 65\:miles\:per\:hour=65\:miles/hour=\dfrac{65\:miles}{hour}

Therefore, to convert 65 mph to yards per second:

\implies \sf \dfrac{65\:miles}{hour}=\dfrac{65 \times 1760\:yards}{3600\:seconds}=31.777...\:yd/s

6 0
2 years ago
Read 2 more answers
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is
WARRIOR [948]

Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

4 0
2 years ago
What is the argument of -5\sqrt{3}+ 5i?
Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

4 0
3 years ago
celebrity a has 400 followers on social media and is gaining 75 followers each day. celebrity b has 1000 followers on social med
Aleksandr [31]

Answer:

It will take 12 days and they will be at 700 followers each

Step-by-step explanation:

Just guess and keep adding.

8 0
3 years ago
Read 2 more answers
The two angles are
Natalka [10]

Answer:

The two angles are alternate interior angles

Step-by-step explanation:

Here, we want to state the relationship between the two given angles

From the diagram, we can observe that these two angles are;

They are alternate interior angles

6 0
3 years ago
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