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Verizon [17]
3 years ago
14

Find volume with full working out ty

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

3000 cm³

Step-by-step explanation:

Volume = Difference of Volumes of the two pyramids

Volume, V1, of the larger pyramid with tip at L:

Base area = area of EFGH = 10²

Height = ML = 15

V2 = ⅓×(10²)×15 = 4000

Volume, V2, of the smaller pyramid with tip at L:

Base area = area of = 10²

Height = OL = OM+ML = 15+15 = 30

V1 = ⅓×(10²)×30 = 1000

Volume = V1 - V2

= 4000-1000 = 3000 cm³

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(45/360)2πr=9π/4
Lyrx [107]

Answer:

r=9

Step-by-step explanation:

45/360=1/8

1/8*2=2/8

2/8=1/4

1/4*pi*r=(9pi)/4

Divide both sides by 1/4 (the fours cancel each other out)

Pi*r=9*pi

Pi cancels each other out

R=9

Hope this helps

7 0
4 years ago
I NEED HELP PLEASE! ITS DUE TOMORROW!! THANKS!
Aleksandr-060686 [28]

Answer:

Katie is not cheating. From the question, it sounds like Katie's spinner is 1-12. James has two dice so he has two sets of each number 1-6. This means that Katie can roll two numbers greater than six but James can only roll up to six. Using probability, I think there is a 50% chance that Katie's number will be bigger than James every time she spins. A fairer way would be for them both to play with the same dice or spinner.

Step-by-step explanation:

3 0
3 years ago
you have 160 yards of fencing to enclose a rectangular region. find the maximum area of the rectangular region
Dimas [21]
The maximum area of a rectangle when given perimeter is simply perimeter/sides.
To get the maximum area, simply divide 160 (perimeter) by 4 (sides in a rectangle) and then square the result:
160/4 = 40
40 x 40 = 1600
The maximum area, when the sides are all of the same length, is <u><em>1600 square yards.
</em></u><em></em>Hope this helps!
<em>~ArchimedesEleven</em><u><em>
</em></u>
6 0
4 years ago
Read 2 more answers
Simplify: 19w5+ (-3075)
AleksAgata [21]
Simplified: 19w^5 - 3075
7 0
3 years ago
Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
lys-0071 [83]

Answer:

\bold{x =cos\theta}\\\bold{y=sin\theta}

Step-by-step explanation:

The given system of linear equations is:

(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0

We have to solve the equations for the values of x, y.

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by sin\theta and second equation by cos\theta

Now, the equations become:

(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)

Now, let us add (1) and (2):

(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta

Using the equation:

(-sin\theta)x+(cos\theta)y=0

Putting value of y:

\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta

So, the answer to the system of linear equations is:

\bold{x =cos\theta}\\\bold{y=sin\theta}

7 0
3 years ago
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