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3 years ago

Volume of a sphere with a diameter of 8 meters? Use 3.14 for pi.

1 answer:

4 0

Answer: " 267.95 m³ " .
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Explanation:
________________________________________________________

V = (4/3) * $\pi$ * r³ ;

Given: diameter, "d" = "8 m" ;

radius, "r" = 8 m / 2 = 4 m "

V = (4/3) * $\pi$ * r³

V = (4/3) * $\pi$ *(4m)³

V = (4/3) * (3.14) * 4³ * m³ ;

V = (4/3) * (3.14) * (4*4*4) * m³ ;

V = (4/3) * (3.14) * (64) * m³ ;

V = 267.9466666666666667 m³ ;

round to: " 267.95 m³ " .
_________________________________________________________

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What is the first step in solving the quadratic equation -5x2+8=133

astraxan [27]

I don’t think you can solve by using quadratic equation

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2 years ago

Please help me with this

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Both angles added together = 180 degrees. They both have a straight line as their base.

So let <ABC = x

Then <CBD = 3x Add the two angles

x + 3x = 180 Combine

4x = 180 Divide by 4

4x/4 = 180/4

x = 45

So 3x = 3*45 = 135

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2 years ago

Solve with elimination.

wlad13 [49]

Answer:y=6.61,x=-6.46

Step-by-step explanation:

3x+7y=-26(×5)

5x+3y=-14(×3)

=15x+35y=-130

15x+9y=-42

subtracting the 2 equations =15x-15x+35y-9y=-130-(-42)

=26y=172

y=172÷26

y=6.61

substitute y in the first equation=3x+6.61=-26

3x=-26+6.61=-19.39

x=-19.39÷3

x=-6.46

7 0

2 years ago

Coach Rivas can spend up to $750 on 30 swimsuits for the swim team. The inequality shown can be used to find the maximum amount

777dan777 [17]

Answer:

$0 < p ≤ $25

Step-by-step explanation:

We know that coach Rivas can spend up to $750 on 30 swimsuits.

This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:

C ≤ $750

Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:

C = 30*p

Then we have the inequality:

30*p ≤ $750.

To find the possible values of p, we just need to isolate p in one side of the inequality.

So we can divide both sides by 30 to get:

(30*p)/30 ≤ $750/30

p ≤ $25

And we also should add the restriction:

$0 < p ≤ $25

Because a swimsuit can not cost 0 dollars or less than that.

Then the inequality that represents the possible values of p is:

$0 < p ≤ $25

6 0

2 years ago

Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9

Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as $x=\frac{-b}{2a}$ .