The diagram shows a trapezoid prism.
The area of the cross-section is 55cm.
The volume of the prism is 330cm
Find the length of the prism.​

The Diagram Shows A Trapezoid Prism.The Area Of The Cross-section Is 55cm.The Volume Of The Prism Is

Answers

Answer 1

Given:

The area of the cross-section is 55cm².

The volume of the prism is 330cm³.

To find:

The length of the prism.​

Solution:

We have,

Area of the cross-section = Area of base = 55 cm²

Volume of the prism = 330cm³.

Let x be the length(height) of the prism.

We know that,

[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]

[tex]330=55\times x[/tex]

[tex]\dfrac{330}{55}=x[/tex]

[tex]6=x[/tex]

Therefore, the length of the prism is 6 cm.


Related Questions

In a relay race, Aisha ran 1 and ¾ of a mile and Paula ran 1 and 5/12 of a mile. Who ran farther?

Answers

Answer:

Aisha ran farther

Step-by-step explanation:

Aisha - 1 9/12

Paula - 1 5/12

Make the denominator the same

Jim is making salsa recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of the cilantro if Jim has one cup of cilantro how many cups of tomato sauce with he need 

Answers

Since there are a total of 6 cups of cilantro just multiply 3 1/3 by 6.
Jim will need 20 cups of tomato sauce.

A recipe for banana oat muffins calls for 3/4 cups of oats. You need to triple the recipe to make enough for your whole family. How much oats do you need?

Answers

Answer: 2 and 1/4 cups of oats (9/4 cups of oats)

Step-by-step explanation:

We know that, for the recipe, we need 3/4 cups of oats.

Now, you want to triple the recipe (then you need to use 3 times more ingredients).

This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:

3*(3/4 cups) = 9/4 cups

This means that you need to use 9/4 cups of oats.

And we could also write this as:

9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.

What is the measure of ∠J?

Answers

Answer:

6 cm

Step-by-step explanation:

30
Select the correct answer.
Which equation represents the vertical line passing through (14,-16)?
ОА.
x= -16
OB.
y=-16
O C.
X= 14
D.
y = 14
Reset
Next

Answers

Answer:

if you look it up it would be x=14

Jade has $60. She wants to buy some movies that cost $11 each. Jade wants to have at least $20 remaining.



Which of the following inequalities correctly represents the scenario?

Answers

Answer:

60-11x < 20

Step-by-step explanation:

Let's first set out all the information we know.

Jade has only $60, so we cannot go above the amount she has.Each movie costs $11She wants at LEAST $20 remaining  

So, the first thing that will be in the inequality would be $60. Since you are wasting money, you have to subtract.

The thing that will be subtracted more than once is $11, so it will have the variable "x" added to it.

What we have so far is:

60-11x

Because this is an inequality, we will have a less than sign.

After that, we can conclude that $20 will come next because that is at the end of the problem.

So, the answer is:

60-11x < 20

Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?

Answers

There are 9 other CD's of a different genre.

The answer?
A-(5,-3)
B-(2,0)
C-(8,0)
D-(-3,5)

Answers

The answer is clearly A

Find the value of 42 + 6 ÷ 2

Answers

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

I WILL GIVE BRANIST plz help me

Answers

Answer:

10/8

Step-by-step explanation:

What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.

(2 * 5)/8

10/8

The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.

Factor out the GCF from 40x2 −10x

Answers

Answer:

10x (4x - 1)

Step-by-step explanation:

The GCF we can factor out is 10x.

40x²/10x = 4x

-10x/10x = -1

the answer is 10x (4x-1) let me know if you need me to explain

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

can someone help me with 26 and 27?

Answers

Answer:

B

Step-by-step explanation:

please help i dont understand and can u put how to do it

Answers

Answer:

1.88261%

Step-by-step explanation:

Use the formula (E - T) / |T| * 100

(92 - 90.3) / |90.3| * 100

1.7 / 90.3 * 100

0.0188261 * 100

And you get a 1.88261 percent error :)

The polynomial 5x — 4x² + 3 — 2x³ is in standard form.

True or False.

Answers

Answer:

False.Answer = -2x³ - 4x² +5x +3

MARK ME AS A BRAINLIST AND FOLLOW ME

Plz help due tomorrow

Answers

Answer:

15/16

Step-by-step explanation:

5×3=15

4×4=16

if they're two - you count them +

(my English is not very good :( )

5x3=15 4x4=16 those should be good

Rita collected and stored beads in 4 different bags.the table below shows the number and color of beeds in each bag.

Answers

Answer:

Add the table and i might answer correctly

Step-by-step explanation:

hey may we please see the table? :))

The solution to a system of linear equations is (0, 4).
One of the linear equations in the system is
y = 8x +4.

Which equation could be the other linear equation in the system?
• y=8
• y= 4.0
• y = 80
• y=4

Answers

Its y=4 the answer for this question

Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps

Answers

Answer:

30seconds

Step-by-step explanation:

if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.

discover the pattern and continue
monday, wednesday, tuesday, thursday,_____,_____, thursday

Answers

Answer:

Wednesday Tuesday. ya

Step-by-step explanation:

work backwads

How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)
please help im going to fail if i dont get my work done in 2 days

Answers

Answer:

Harry would receive $10 more by babysitting than by doing yard work

Step-by-step explanation: If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50.

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

A plane started on the ground at ground level near the ocean. Upon taking off it climbed 9000 meters and leveled off. At the same time a submarine left from the same shoreline. It dove 250 meters down into the ocean. How many meters are there between the plane and the submarine.

Integers

Answers

Answer:

There is 9250 meters between the plane and the submarine.

Step-by-step explanation:

9000 above

250 below

9000+250= 9250 between the two vehicles

what?
djsbzizbssisns

Answers

Answer:

[tex]8x^{2}y^{4}[/tex]         Answer B and C

Step-by-step explanation:

When a variable gets squared it looks like this (the exponent gets cut in half):

[tex]\sqrt{x^{2} }[/tex]=[tex]x[/tex]

So The square root of 64 is 8:

8

Then the next two exponents cut in half:

[tex]x^{2} y^{4}[/tex]

Then we put it back together:

[tex]8x^{2}y^{4}[/tex]

Letter B is the correct choice along with C because of distributive Property.

[tex]1\\2 times4=[/tex]

Answers

Answer:

2

Step-by-step explanation:

1/2 * 4

=4/2

= 2

You and your friend participate in a charity run. For every mile run, $2 is donated to the charity. You run 4 miles and your friend runs 3 miles. How much money, in dollars, do you and your friend raise for the charity?

Answers

Answer:

$14

Step-by-step explanation:

Multiply each mile run by the amount of money for each mile. In this case, you run 4 miles and get $2 for each mile, so that's $8 for you. Your friend runs 3 miles, so that's another $6. Adding $8 plus $6 = $14.

You and your friend raised together 14 dollars for the charity by running.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, You and your friend participate in a charity run. For every mile run, $2 is donated to the charity.

Also given that You run 4 miles and your friend runs 3 miles.

Therefore, The amount in dollars you and your friend raised for the charity

is (2×4) + (2×3) dollars.

= 8 + 6 dollars.

= 14 dollars.

So, Both of them together raised 14 dollars for the charity.

learn more about numerical expressions here :

https://brainly.com/question/29199574

6. Francine lives 9/12 mile from school. What is the distance from school
written as a decimal?
A. 12.9
B. 7.5
C. 9.12
D. 0.75

Answers

The answer is D. 0.75

A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix A nuts
contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x
represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts
and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be
produced?

Answers

Answer:

Cause it is

Step-by-step explanation:

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

DUE IN 5 MINUTES MATH QUESTION ​

Answers

Answer:

x= -10

Step-by-step explanation:

So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.

Next add all three angles (125 + x + 35 + x + 40)=180

Combine the x values to get 2x and subtract the three values from 180

Then 2x= -20, x should be equal to -10

You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again

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