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WARRIOR [948]
3 years ago
15

Help me get the answer

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
This is hard- DHJDHSJS
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Tennis balls with a diameter of 2.5 in.are sold in cans of three. The can is a cylinder. What is the volume of the space in the
Alexxandr [17]

Using 3.14 for PI.

The radius of a ball and the can is half the diameter = 1.25

The height of the can is the height of 3 diameters = 7.5

Volume of one tennis ball:

4/3 x PI x 1.25^3 = 8.18 cubic inches.

Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.

Volume of can:

PI x 1.25^2 x 7.5 = 36.80 cubic inches.

Space = 36.80 - 24.54 = 12.26 cubic inches.

3 0
3 years ago
When a particular mass-spring system is started by stretching the spring 3 cm, one complete oscillation takes 4 seconds.
11Alexandr11 [23.1K]

Answer:

A. 5.16 s.

B. 5.66 s.

Step-by-step explanation:

A.

For a simple harmonic motion,

T = 2pi (sqrt * (l/g))

Given:

L1 = 3 cm

T1 = 4 s

L2 = 5 cm

T2 = ?

4 = 2pi*sqrt(3/g)

g = 7.4

At, L2,

T2 = 2pi*sqrt(5/7.4)

= 5.16 s.

B.

M1 = M1

M2 = 2*M1

For a simple harmonic motion,

T = 2pi (sqrt * (m/k))

4 = 2pi (sqrt * (M1/k))

M1/k = 0.405

Inputting the above values,

T2 = 2pi (sqrt * (2*M1/k))

= 2pi (sqrt * (2 * 0.405))

= 5.66 s.

4 0
3 years ago
A flagpole is supported by a wire fastened 60 feet from its base. The wire is longer than the height it reaches on the flagpole.
maxonik [38]

Answer:

135.5ft

Step-by-step explanation:

THIS COMPLETE THE QUESTION

flagpole is supported by a wire fastened 60 feet from its base. The wire is 14 feet longer than the height it reaches on the flagpole. Find the length of the wire.

Let X be the length of the wire

Let y be the height of the pole

X= Y + 14

Y= X -14

We can form a right angle triangle form this, where X denote the Hypotenose, Y is the Opposite, and 60feet is the Adjacent.(CHECK THE ATTACHMENT FOR THE TRIANGLE)

Using Pythagoras theorem

X²= 60² + Y²

X² = 3600 + Y²

if we subsitute for Y we have

X² = 3600 + (X -14)²

X² = 3600 +X² -14X-14X+196

X²-X²+ 28X= 3600+196

28X= 3796

X= 3796/28

=135.5ft

hence length of the wire is 135.5ft

8 0
3 years ago
A conveyor belt carries supplies from the first floor to the second floor, which is 39 feet higher.
Murljashka [212]

The supplies travelled 45ft and it took 0.6min to get to the next floor.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.

Analysis:

The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.

so that sin 60 = 39/distance travelled by supplies

distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.

speed = distance / time

time = distance / speed = 45/70 = 0.6 min

In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

8 0
2 years ago
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute
Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X \sim uniform(3.17)

f(x) = \dfrac{1}{17-3}   ; \ \ \ 3 \le x \le 17

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

P(X > 5) =  \int ^{17}_{5} f(x) \ dx

P(X > 5) =  \int ^{17}_{5} \dfrac{1}{17-3} \ dx

P(X > 5) =\dfrac{1}{14}  \Big [x \Big ] ^{17}_{5}

P(X > 5) =\dfrac{1}{14} [17-5]

P(X > 5) =\dfrac{12}{14}

P(X>5) = 0.857

6 0
3 years ago
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