A pencil holder shaped like a triangular prisms height is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters

Answers

Answer 1

Answer:

The area of the base of the pencil holder in square centimeters is  18 square centimeters

Step-by-step explanation:

The volume of a triangular prism is given as base area X height.

To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.

Base area = volume of prism / height

Base area = 216/12 = 18 square centimeters

Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters


Related Questions

The school that Anthony goes to is selling tickets for a choir concert. On the first day of ticket sales his school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price of a senior citizen ticket?

Answers

Answer:

A senior citizen costs $8

Step-by-step explanation:

Represent senior citizens with S and children with C.

The first day is represented as:

[tex]3S + C = 38[/tex]

The second day is represented as:

[tex]3S + 2C = 52[/tex]

Required

Solve for C and S

Make C the subject in the first equation

[tex]C = 38 - 3S[/tex]

Substitute 38 - 3S for C in the second equation

[tex]3S + 2(38 - 3S) = 52[/tex]

[tex]3S + 76 - 6S = 52[/tex]

Collect Like Terms

[tex]3S - 6S = 52 - 76[/tex]

[tex]- 3S = -24[/tex]

Divide through by -3

[tex]S = 8[/tex]

Recall that: [tex]C = 38 - 3S[/tex]

[tex]C = 38 - 3 * 8[/tex]

[tex]C = 38 - 24[/tex]

[tex]C = 14[/tex]

Hence, a senior citizen costs $8

A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.

How many meters of ribbon did the club buy?

What is the total cost if the ribbon sells for $2 per meter?

Answers

Answer:

A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.

How many meters of ribbon did the club buy?

What is the total cost if the ribbon sells for $2 per meter?

Step-by-step explanation:

Multiply.
(2x + 1)(3x2 + 2x)
A) 6x3 + 2x
B) 3x2 + 4x + 1
C) 6x3 + 4x2 + 2x
D) 6x3 + 7x2 + 2x

Answers

Answer:

6x^3+7x^2+2x

Step-by-step explanation:

Answer:

D) 6x³ + 7x² + 2x

Step-by-step explanation:

2x × 3x² = 6x³

2x × 2x = 4x²

1 × 3x² = 3x²

1 × 2x = 2x

Collect like terms to get

6x³ + 7x² + 2x

Hope this helps ya!

Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8​

Answers

answer:

the answer is -3 and 8

Step-by-step explanation:

we will place -3 in the equation

(x+3)(x-x)=0

(-3+3)=0 (because -3+3 will cut down together)

we will place two 8(eights) in the equation

(8-8)=0

final answer is

(0)(0)=0

so -3 and 8 fits well in the equation

I need help on Finding the base and height ​

Answers

Answer:

The 1st one

Step-by-step explanation:

Because it is a right triangle you can see that by the 90* box next to the height and if you turn it over a little you can tell that it is the 1st one.

____________________________________________________________-HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!

I need help please thanks guys

Answers

You can cut 10 pieces of yarn from that

Can someone be nice enough to do this for me?

Answers

Answer:

1) -3, -2.5, -3/4, -3/8, 1/4, 3.1, 16/5, 6

Step-by-step explanation:

Can someone help me fast!!!!!!! Plz

Answers

Answer:

7 1/3

Step-by-step explanation:

You want to purchase a book that costs $12.99. If there is a 5.5% sales tax, what will the total cost of the book be with tax?

Answers

the answer is $13.70

give me 5 things u want for Christmas and 3 words to describe you :))

Answers

Answer: Baggy clothes, a new phone, art supplies, jewelry, posters(marvel, Billie Eilish, and just some random posters that I love) and room decorations.

Step-by-step explanation:

:D

I NEED LOTS OF HELP IF U ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLYIST PLEASE PLEASE PLEASE ANSWER THIS

Answers

Which question???????????

Number 21 plsss helppppp

Answers

Answer:

B

Step-by-step explanation:

First off, we see that x ≥ -2. That little horizontal line right under the > sign indicates that x is "greater than or equal to" -2. Because we want to include -2 in the solution set, the dot on the number line at -2 should be shaded in.

This already eliminates A and D.

Now, we're left to choose between B and C.

Well, we know that x is greater than or equal to -2, so possible values of x should be numbers that are more positive than -2, or that point in the positive direction. That's exactly what B illustrates, so that's our answer.

Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

I think the answer will be c. 1.1 hours

Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?

Answers

Answer:

7.4:1

Step-by-step explanation:

The rate of patrons to advertising dollar is7.4 patrons per dollar.

What is rate?

A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.

Given:

The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.

So, the rate of patrons to advertising

= 18.5 million patrons to $2.5 million

= 18.5/2.5

= 7.4 patrons per dollar

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ6

terms and like terms in the expression 4a−9+3a.

Answers

Examples to help:

2a + 4      (Unlike terms cannot be simplified)

4a + 3b    (Unlike terms cannot be simplified)

6a – 3a = 3a

8b – 8b = 0

5a – 3      (Unlike terms cannot be simplified)

6a – 4b    (Unlike terms cannot be simplified)

These are not the awnsers they are just examples

How many terms does the polynomial have? 2p2q−3pq 1 2 3 4

Answers

Answer:

Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

Step-by-step explanation:

Thirteen candy bars weigh 26 ounces what is the weight of 35 candy bars

Answers

Answer:

70 ounces

Step-by-step explanation:

We can solve the weight of 35 candy bars by first finding the weight of one and multiplying by 35.

If 13 candy bars each weigh 26 ounces, one will weigh 2. We can write this out as shown:

13x = 26

x = 2

Now we simply multiply by 35 to get the total weight of 35 candy bars:

35x = 35(2) = 70

Does the following equation have one solution, infinite solutions, or no solutions? 9 (x+11) = 9x +3

Answers

divide second equation by -3

3x+2y=1

other equatin is

3x+2y=1

since same equation, they are same line and lines are infinite so infinite solutions is answe

Answer:

No solution

Step-by-step explanation:

PEMDAS = distribute first.

9x+99=9x+3

Subtract 9x from both sides

99=3

Impossible so no solution.

Hope this helps you!

#Team Rainbows

what is the area of the figure below
A: 88in2
B: 48 in2
C: 68 in2
B:43in2

Answers

Answer:

The correct answer is C, 68in².

Answer:

68

Step-by-step explanation:

The are of the  square is 3*3 = 9

Since we have two squares we need to mulitply by 2

9*2 = 18 is the total area of the squares

if you draw a line from the one square to the other you make a rectangle in the middle

the are of the rectangle is 10*3 which is 30

Two triangle has appared as we draw the line from one square to the other square.

The height of the traingle is (7 - 3)/2 which is 2

(2*10) / 2 =  which is 10

Since we have 2 triangle we get result as 2*10 = 20

20+30+18 = 68

HURRY WILL MARK YOU BRAINLIEST RIGHT ANSWER ONLY

Answers

Answer:54

Step-by-step explanation:

after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction

Answers

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.

The sale price of every item in a store is 85% of its usual price. The usual price of a sweatshirt is $18, what is its sale price?

Answers

The price of the sweatshirt is $2.70. 18-85%=$2.70 The amount of the discount was $15.30

Mr. Patel bought his 3 friends Casio G-Shock watches for Christmas. The retail price for each watch on Amazon was $39.91. How much did he pay for all 3 watches, excluding tax?

Answers

Answer:

Mr. Patio paid $312.00 for the three watches

Step-by-step explanation:

The price of one of the Casio G-Shock watches that  Mr. Patel bought his 3 friends for Christmas is $39.91.

For Mr. Patio to have bought this watch for each of his 3 friends, we have that the cost will be multiplied by three. He is spending three times the amount he would have spent if he is buying for only a single person.

Cost = 39.91 X 3 =$312.00

Mr. Patio paid $312.00 for the three watches

Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?

24 in.2
108 in.2
224 in.2
486 in.2

Answers

Answer:

The answer is D on edge.

Step-by-step explanation:

Which equation represents a line which is parallel to the line y=5/6x−7?

Answers

Answer:  The choice will be any equation where the slope is the same and the y-intercept is different.

[tex]y=\frac{5}{6}x + b[/tex]

Step-by-step explanation:  Using slope-intercept form, y = mx + b,

m is the slope, b is the y-intercept.

Parallel lines will have the same slope.

So, you are looking for another equation that has 5/6 as the coefficient of x.

It could be an equation in the form 6y + 5x = _b_ where the constant, b, could be anything except -42, as that would be an identical line, not parallel.

Which steps show how to use the distributive property to evaluate 9.67? O A. 9(67) = 9(70 – 3) = 9.70 +9.3 = 630 + 27 = 657

B. 9(67) = 9(70 – 3) = 9.70 – 3 = 630 – 3 = 627

C. 9(67) = 9(70 – 3) = 9.70 – 70 - 3 = 630 – 210 = 420 O

D. 9(67) = 9(70 – 3) = 9.70 – 9.3 = 630 - 27 = 603 SUBMIT PREVIOUS​

Answers

Answer:

Never mind its D :)

A.P.E.X

Step-by-step explanation:

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

Answers

Answer:

2:5

Step-by-step explanation:

Total marbles: 10

red: 2

yellow: 5

2:5

I don’t really understand someone help me pls

Answers

Answer:

i thing maybe is A or C

Step-by-step explanation:

I think It would be A

Can someone please explain this to me? I’d be so appreciative.

Reporting all fake answers.. :(

Answers

I solved it this way ! Hope it helps and correct , cuz I’ve studied this looong time ago ;)

Please help with this

Answers

Answer:あなたが言うことができるならば、答えは77番目の答えです

Step-by-step explanation: 3

Answer:

103 degrees

Step-by-step explanation:

Since it is a straight line all you have to do is subtract 180 from 77(which is the angle that you know.) If you feel that this helped please give brainliest. Have a nice day!

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