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Georgia [21]
3 years ago
14

What is 4 pi cubed divided by 3

Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0
<span>52.6378901393 should be correct.</span>
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What are the solutions to the equation 3x^2 + 15x = 18. Show your work.
balandron [24]

Assignment: \bold{Solve \ Equation: \ 3x^2+15x=18}

<><><><><><><>

Answer: \boxed{\bold{x=1,\:x=-6}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Subtract 18 From Both Sides

\bold{3x^2+15x-18=18-18}

[ Step Two ] Simplify

\bold{3x^2+15x-18=0}

[ Step Three ] Solve With Quadratic Formula

Note: \bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}

\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}

\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}

<><><><><><><>

\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}

\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}

[ Step Four ] Combine Solutions

\bold{x=1,\:x=-6}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

5 0
2 years ago
Read 2 more answers
Write 64,500 in scientific notation
lukranit [14]
6.45 x 10 to the 4th. 
5 0
2 years ago
What are the like terms in the expression?
Anarel [89]
Since none of the terms have the same variables the like terms would be (A) because they are both constants
5 0
2 years ago
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Is the ans i got correct?<br>the total surface area is 33.8cm² <br>​
ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

A_1=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length.

Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

A=33.46

Therefore, the total surface area is 33.46 cm².

8 0
2 years ago
which inequality best represents the situation of you must be at least 52 inches tall to ride the water ride
Nataliya [291]
C ; x must be greater than or equal to 52 because you have to be 52 inches or greater to ride this ride.
3 0
3 years ago
Read 2 more answers
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