2 years ago

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Mathematics

1 answer:

pochemuha2 years ago

6 0

Answer:

Step-by-step explanation:

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The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i

dalvyx [7]

Answer:

r=3x

Step-by-step explanation:

The Volume of a Cone

The volume of a cone of radius r and height h is:

$\displaystyle V=\frac{1}{3}\pi hr^2$

We are given the volume of a cone is

$V=3\pi x^3$

Equating:

$\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3$

Multiplying by 3:

$\pi hr^2=9\pi x^3$

Simplifying by pi:

$hr^2=9 x^3$

Since h=x:

$xr^2=9 x^3$

Dividing by x:

$r^2=9 x^2$

Taking square roots:

$r=\sqrt{9 x^2}=3x$

Thus: r=3x

5 0

2 years ago

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A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and

Marta_Voda [28]

Answer:

$3x+5 < n < x-1$

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the Triangle Inequality Theorem

1) $(2x+2)+(x+3) > n$

solve for n

$3x+5> n$

Rewrite

$n$

2) $(x+3)+n> 2x+2$

$n> x-1$

therefore

$3x+5 < n < x-1$

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2 years ago

1. Star Inc. has Year 1 revenues of $80 million, net income of $9 million, assets of $65 million, and equity of $40 million, as

Gekata [30.6K]

90000 because it changes when 7x is inside

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2 years ago

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DiKsa [7]

This is the answer ndjsh

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2 years ago

Graph the quadratic functions y=-2xandy=-2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shap

dedylja [7]

Y = -2x^2

h = Xv = -B/2A = 0/-4 = 0.

k = -2*0^2 = 0.

V(0,0).

Use the following points for graphing:

Y = -2x^2.

(x,y)

(-2,-8)

(-1,-2)

V(0,0)

(1,-2)

(2,-8)

Y = -2x^2 + 4.

h = Xv = -B/2A = 0/-4 = 0.

k = Yv = -2*0^2 + 4 = 4.

V(0,4).

(-2,-4)

(-1,2)

V(0,4)

(1,2)

(2,-4)

8 0

1 year ago