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3 years ago

Please help, i really suck at geometry

Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

Have you found the answer?

zepelin [54]3 years ago

5 0

Answer:

1) In order to fill 2/3 of the vase, you would need 72 $\pi$ of water.

Step-by-step explanation:

In order to find this, use the volume formula for a cylinder.

V = $\pi$ r^2h

Now input the data

V = $\pi$ (3)^2(12)

V = $\pi$ (9)(12)

V = 108 $\pi$

Now since we have the volume of the whole thing, we can multiply by 2/3 to get 2/3 of the overall volume.

V = 108 $\pi$ * 2/3

V = 72 $\pi$

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If U = {x: X € N, 1 < × < 15)

Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )

= {2,4,6,8,10,12,14} U {3,6,9,12,15}

= {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B) = ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

AU(BUC)

= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)

= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)

verifies

5 0

3 years ago

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i

kondaur [170]

Given:
Volume of the cone = π r² h/3

radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r

V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12

4 0

2 years ago

Read 2 more answers

6 divided by 1 5/16

kkurt [141]

1 7/8 is the answer

Please mark brainiest

3 0

2 years ago

Read 2 more answers

The method of writing a number with a mixed decimal multiplied by a power of ten us called what

mario62 [17]

I believe its an exponent.

3 0

3 years ago

A kite string is 35m long. The angle the string makes with the ground is 50o

kipiarov [429]

Answer:

22.50m

Step-by-step explanation:

With the ground, the horizontal ground distance is the adjacent side, so by SOHCAHTOA, the ratio used is cosine, i.e.

Ground distance

= hypotenuse * cos(50°)

= 35 cos(50°)

= 35*0.64279

= 22.50m

7 0

3 years ago