54x^3 +250y^3<br> in the sum of cubes<br> please helpppp

Why do vertices connected by a diagonal of a polygon have to be nonconsecutive?

Sever21 [200]

Because consecutive vertices are already connected by the edges of the polygon.

8 0

3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 6 feet tall and has a base with a circumferen

kirill [66]

Answer:

V = 65.19

Step-by-step explanation:

Remark

You need r. You can get it from the circumference of the circular base.

Once you have that, the formula is Area = 1/3 pi r^2 j

Givens

C = 20.236

h = 6 feet

Formulas

C = 2 pi r

Volume = 1/3 pi r^2 h

Solution

Find r from C = 2 pi r

20.236 = 2 * 3.14 * r Combine the right

20.236 = 6.28 * r Divide by 6.28

20.236/6.28 = 6.28 * r / 6.28

3.222 = r

Now that you have r, you can solve for the volume

V = (1/3) pi 3.222^2 * 6 Square r

V = 1/3 * pi * 10.381 * 6 Now multiply through by all, but pi

V = 20.762 pi

V = 65.194

8 0

2 years ago

Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of

Levart [38]

Answer:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

$S= [-3,-1,1,3]$

Just 4 possible values from 8 possible combinations for the 3 random tosses

Step-by-step explanation:

For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.

W= # heads- # coins

Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

$S= [-3,-1,1,3]$

Just 4 possible values from 8 possible combinations for the 3 random tosses

8 0

3 years ago

A ball is kicked upward with an initial velocity of 32 feet per second. The ball's height, h (in feet), from the ground is model

stellarik [79]

Answer:

1. t = 0.995 s

2. h = 15.92 ft

Step-by-step explanation:

First we have to look at the following formula

Vf = Vo + gt

then we work it to clear what we want

Vo + gt = Vf

gt = Vf - Vo

t = (Vf-Vo)/g

Now we have to complete the formula with the real data

Vo = 32 ft/s as the statement says

Vf = 0 because when it reaches its maximum point it will stop before starting to lower

g = -32,16 ft/s² it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours

t = (0 ft/s - 32 ft/s) / -32,16 ft/s²

we solve and ...

t = 0.995 s

Now we will implement this result in the following formula to get the height at that time

h = (Vo - Vf) *t /2

h = (32 ft/s - 0 ft/s) * 0.995 s / 2

h = 32 ft/s * 0.995 s/2

h = 31.84 ft / 2

h = 15.92 ft

4 0

3 years ago

Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and then an average rate of 40 mi/h on the

hammer [34]

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

we know that

Let

x ----> the time it take on their way to visit relatives in hours

y ---> the time it take on the way back in hours

we know that

The distance of the way to visit is equal to the distance of the way back

The speed multiplied by the time is equal to the distance

so

60x=40y -----> equation A

y=x+1 -----> equation B

substitute equation B in equation A and solve for x

60x=40(x+1)

60x=40x+40

20x=40

x=2 hours

Find the value of y

y=2+1=3 hours

d=60x

The time it take on their way to visit relatives is 2 hours

The time it take on the way back is 3 hours

Part B) In terms of "d," how many hours did it take to drive there?

we have that

The distance is equal to the speed multiplied by the time

d=60x

Solve for x

x=d/60 hours

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

To find the average rate for the whole trip we will need the total distance and the total time

The distance of the way to visit is

d=60x

substitute the value of x

d=60(2)=120 miles

so

The total distance is

120(2)=240 miles

we know that the total time is

2 + 3 =5 hours

The average rate for the complete trip is

240/5=48 miles/hour

5 0

3 years ago

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54x^3 +250y^3 in the sum of cubes please helpppp