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Arisa [49]
3 years ago
14

A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 cent

imeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

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Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the mat
Schach [20]

At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)

<h3> How did we figure this out?</h3>

Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.

We are going to use 50, 8 and 10 to find are answer.

Therefore, we are going to divide the numbers:

\boxed{50/10}

  • Division problem
  • 50/10
  • 8 x ? = 40
<h3 /><h3>What is the missing number?</h3>

First, we need to figure out 50/10:

\boxed{50/10=5}

\boxed{8x5=40}

5=40\\(50/10=5=8x5=40)

Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)

8 0
2 years ago
GIVEN: LJ || WK || AP, PL || AG.
galina1969 [7]

Answer:

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#12

In the given figure

∵ LJ // WK

∵ LP is a transversal

∵ ∠1 and ∠KWP are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠1 = m∠KWP

∴ ∠1 ≅ ∠KWP ⇒ (1)

∵ WK // AP

∵ WP is a transversal

∵ ∠KWP and ∠WPA are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠KWP = m∠WPA

∴ ∠KWP ≅ ∠WPA ⇒ (2)

→ From (1) and (2)

∵ ∠1 and ∠WPA are congruent to ∠KWP

∴ ∠1 and ∠WPA are congruent

∴ ∠1 ≅ ∠WPA ⇒ (3)

∵ WP // AG

∵ AP is a transversal

∵ ∠WPA and ∠2 are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠WPA = m∠2

∴ ∠WPA ≅ ∠2 ⇒ (4)

→ From (3) and (4)

∵ ∠1 and ∠2 are congruent to ∠WPA

∴ ∠1 and ∠2 are congruent

∴ ∠1 ≅ ∠2 ⇒ proved

8 0
3 years ago
0.985 rounded to the nearest tenth
GarryVolchara [31]
They always try to trick you with this.  Remember anything 5 or above would round up, anything 4 and under would round down.  So look for the tenth place.  that's the 9.  The number to the right is 8 which is greater than 5.  That means round up.  You can't round it to 0.1 because that takes it back down.  So you just move it over.  The answer is 1.0.
8 0
3 years ago
Find the sum of (x-4)+(2x−7)
____ [38]

Answer:

3x - 11

Step-by-step explanation:

( x - 4 ) + ( 2x − 7 )

*it's better to take away the parenthesis

x - 4 + 2x - 7

Combine like terms

( x with 2x, and -4 with -7)

3x - 11

And you cannot simplify it anymore

Hope this helped!

Have a supercalifragilisticexpialidocious day!

3 0
3 years ago
Read 2 more answers
Help me to solve this problem​
anyanavicka [17]

Here,

Volume of cylinder = 539^3 cm

Circumference = 22 cm

Height = ?

Now,

Circumference = 2πr

or, 22 = 2*22/7*r

or, 22 = 44/7*r

or, 154/44 = r

◆ r = 3.5 cm

Then,

Volume of cylinder = πr^2h

or, 539 = 22/7*(3.5)^2*h

or, 539 = 22/7*12.25*h

or, 539 = 269.5/7*h

or, 3773 = 269.5*h

or, 3773/269.5 = h

◆ h = 14 cm

I hope it's help you...

I hope you understand...

Thanks♥♥

7 0
3 years ago
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