The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

Answer:

y = x² + 10

Step-by-step explanation:

Answer:

1550 mL

Step-by-step explanation:

Total capacity of water = 4 Litre

4 L = 4 * 1000 mL = 4000 mL

200mL cups filled = 1 ; 200 mL

750mL cups filled = 3 ; 750 * 3 = 2250 mL

Total = (200 + 2250) mL = 2450 mL

Water left in filter :

(4000 - 2450) mL = 1550 mL

Answer:

lol.

cool.

I don't really care if you give me brain or not but I would love it if you did.

Step-by-step explanation:

Answer:

30ft^2

Step-by-step explanation:

Area of a rectangle = Length * Width

Given

Length = 6ft

Width = 5ft

Substitute

Area of the rectangle = 6ft *5ft

Area of the rectangle = 30ft^2

Hence the area of the rectangle is 30ft^2

Answer:

1120 in³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = area of base × height , then

V = 80 × 14 = 1120 in³

Answer:

x<6

Step-by-step explanation:

Answer:

A ) angle measures of 47 , 589 , 85

Step-by-step explanation:

a triangle can only be 180 degrees in total and the second number completely blows it out of that range

EDIT : even if there was a typo in the question , A would still equal 190 and thus make it not a triangle

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Answer:

$2.40

Step-by-step explanation:

36÷15=2.4

since we are talking about money you add a zero.

Hope this helps

Cost of the dog food per pound is $2.4

Cost is the value of money that has been used up to produce something or deliver a service

Cost of 15 pound of dog food = $36

Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4

Hence, the cost of 1  pound of dog food is $2.4

Learn more about cost here

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Answer:

-5

Step-by-step explanation:

slopes of parallel lines are the same

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

Answer:

Step-by-step explanation:

Sum = 20

Product = 5*20 = 100

Factors = 10 , 10   {10*10 = 100 ; 10+10 = 20}

5x² + 20x + 20 = 5x² + 10x + 10x + 10*2

= 5x(x + 2) + 10(x + 2)

= (x + 2)(5x + 10)

Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 14^{2} - 10^{2}[/tex]

[tex]a^{2} = 196 - 100[/tex]

[tex]a^{2} = 96[/tex]

[tex]\sqrt{a^2} = \sqrt{96}[/tex]

[tex]a = 9.7979[/tex] ⇒ 9.8

Answer:

The value of x=4√6cm or √96cm

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Hypotenuse given=14cm

Base=10cm

Perpendicular=x

14²=P²+10²

196=P²+100

196-100=P²

96=P²

√96=P

4√6cm=x

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Answer:

13.5

Step-by-step explanation:

4+5 = 9.

9/2 = 4.5

4.5 * 3 = 13.5

Answer: 20%, 17%, 29%, 1.5%

Step-by-step explanation:

Given

The likelihood of rain is given by the inequality

[tex]s<30[/tex] i.e. solution to this inequality is less than 30%

So, among the given values, the following are the solution

20%, 17%, 29%, 1.5%

These values are less than 30%; therefore, they are the solution

Answer:

20%, 17%, 29 1/2%, and 1.5%.

Step-by-step explanation:

good luck on your other work

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer:

(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)

For a sphere of radius R, the volume is:

V = (4/3)*pi*R^3

Where pi = 3.14

And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:

V = (1/2)*(4/3)*pi*R^3

We know that the volume of the hemisphere is 6 m^3, then we have the equation:

6 m^3 = (1/2)*(4/3)*3.14*R^3

Now we can solve this for R.

6 m^3 = 2.1*R^3

∛(6 m^3/2.1) = R = 1.41 m

The radius of the hemisphere is 1.41m

Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)

For a sphere of radius R, the surface is:

S = 4*pi*R^2

Then the surface of this sphere is:

S = 4*3.14*(1.41 m)^2 = 24.971 m^2

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

Given:

Distance between Lily and Wilder = 810 miles

They drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph.

To find:

After how many hours will they meet?

Solution:

Lily driving at 55 mph and Wilder driving at 80 mph towards each other. So, the relative speed is:

Relative speed [tex]=(55+80)\text{ mph}[/tex]

                         [tex]=135 \text{ mph}[/tex]

We know that,

[tex]Time=\dfrac{Distance}{Speed}[/tex]

[tex]Time=\dfrac{810}{135}[/tex]

[tex]Time=6[/tex]

Therefore, Lily and Wilder will meet after 6 hours.

Answer:

900

Step-by-step explanation:

Answer:

900 seconds

Step-by-step explanation:

Answer: 370

Step-by-step explanation:

Answer: I did the math in my head and I think it’s B

Step-by-step explanation:

Answer:

$1.90  1 9/10

Step-by-step explanation:

5 1/2= $5.50

5.50+2.60= 8.10

10-8.10= $1.90

Answer:

is this helpful i hope it is

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

Answer:

one 4 Two yes And 4

Step-by-step explanation: