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Olegator [25]
3 years ago
11

(08.03) Consider the following pair of equations:

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0

Substitution method is used to solve the linear system of equations for one or more variables.

Consider the first equation y = 3x + 3 -----(1)

In equation (1) plug in y=x-1, we get

x -1 = 3x + 3

Add -3x on both side , we get

x-3x -1 = 3x-3x +3

-2x-1=0 + 3

Now add +1 on both sides, we get

-2x-1+1= 3+1

-2x + 0 =4

Now divide both side by -2

-2x/-2= 4/-2

X= -2

Now put x=-2 in the the second equation,

y=x-1

y=(-2)-1

y=-3

Solution(-2,-3)

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The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and
zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

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r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

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V_c=\dfrac{1}{3}\pi (3)^2\times 6\\\\V_c=18\pi\ cm^3

Let V_i is the volume of icecream in the cone. So,

V_i=\dfrac{18\pi}{2}=9\pi\ cm^3

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}

So, volume of icecream in the cone is :

V_c=\dfrac{1}{3}\pi (\dfrac{h}{2})^2(\dfrac{h}{3})\\\\9\pi=\dfrac{h^3}{12}\pi\\\\h^3=108\\\\h=4.76\ cm

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Answer:

question 12

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question 13

c

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