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Flura [38]
3 years ago
5

the new dolphin tank at the aquarium has a radius of 75 feet and a height of 20 feet. what is the volume of the dolphin tank? ro

und to the nearest tenth. use 3.14 for pie
Mathematics
2 answers:
Semmy [17]3 years ago
6 0
Solutions 

 V=3.14r^2 * 20 

Radius = 75 

3.14 * 75^2 * 20 

3.14 * 5625 * 20 
 
17662.5 * 20 

= 353,250 feet cubed  



ohaa [14]3 years ago
3 0

Answer:

353,250.0 cubic feet

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Hey can you please help me posted picture of question
Dmitry_Shevchenko [17]
Answer:
The solutions are: 
\frac{3 + i}{2} and \frac{3 - i}{2}

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
2x² - 6x + 5 = 0

By comparison:
a = 2
b = -6
c = 5

Now, to get the solutions of the equation, we will have to use the quadratic formula shown in the attached image.

By substituting in the formula, we would find that:
either x = \frac{6 +  \sqrt{(-6)^2 - 4(2)(5)} }{2(2)}  =  \frac{3 + i}{2}

or x = \frac{6 - \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 - i}{2}

Hope this helps :)

4 0
3 years ago
the units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than the ori
Anton [14]

Answer:

36

Step-by-step explanation:

Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?

Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)

∴ if number is reversed then resulting number be "10x+y".

As given: x= 2y

        and 10x+y= 2(10y+x)-9

Now, solving the equation to get original number.

10x+y= 2(10y+x)-9

Distributing 2 to 10y and x, then opening the parenthesis.

⇒ 10x+y= 20y+2x-9

subtracting by (2x+y) on both side.

⇒ 8x= 19y-9

subtituting the value of "x", which is equal to 2y.

∴ 8\times 2y= 19y-9

⇒ 16y=19y-9

subtracting both side by (16y-9)

⇒ 3y= 9

cross multiplying

We get, y= 3

y=3

∵x= 2y

x=2\times 3= 6

∴ x= 6

Therefore, the original number will be 36 as x is the unit number and y as tenth number.

6 0
3 years ago
A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth. Se
dangina [55]

Answer:

Option D) 108 degrees

Step-by-step explanation:

We are given the following in the question:

A regular pentagon.

Thus, all the angles of the pentagon are equal.

Angle sum property of pentagon:

  • In a pentagon, the sum of all the interior angle of a pentagon is 540 degrees.

Measure of each angle =

=\dfrac{\text{Measure of angle}}{\text{Number of angle}} = \dfrac{540}{5} = 108^\circ

Thus, the measure of each angle on the sign is 108 degrees.

Option D) 108 degrees

6 0
2 years ago
A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 8y + 7z = 1 Which of the
Sergeeva-Olga [200]
<span>P:      y + z = 6
Q:  8y + 7z = 1

A. This makes y = -8Y which will eliminate the "y"'s when the equations are added.


</span>
4 0
3 years ago
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John buys a new motorcycle for $1,420.00 and a helmet for $75.00. If there is an 8% sales tax, how much will John pay when purch
m_a_m_a [10]
He will pay 2,340 dollars
3 0
3 years ago
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