Mathematics High School


The width of a box is two-third of its length and height is
one-third of its length. If the volume of the box is 1296 m3,
ind the area of base of the box.​

Answers

Answer 1

Answer:

216m² is your answer

Step-by-step explanation:

given

width [b]=2/3 ×l

length [l]=l

height [h]=1/3 l

we have

volume of cuboid =l×b×h

1296m³=l×2/3×l×1/3×l

1296m³=2/9×l³

l³=1296×9/2=5832

l³=18³

length [l]=18m

breadth [b]=2/3×18=12m

area of base of box =l×b=18×12=216m²

Related Questions

Los hombres adultos tienen alturas con una media de 69.0 pulgadas y una desviación estándar de 2.8 pulgadas. Encuentre la puntuación z de un hombre de 70.3 pulgadas de alto. (Redondee la respuesta con 4 decimales)

Answers

Answer:

0.4643

Step-by-step explanation:

z = (x-μ) / σ, donde

x es la puntuación bruta = 70.3 pulgadas

μ es la media de la población = 69 pulgadas

σ es la desviación estándar de la población = 2.8 pulgadas

z = (70.3 - 69) /2.8

z = 0.46429

Aproximadamente a 4 lugares decimales = 0.4643

Given the ratio 12:4,create three more ratios that are proportional to the given ratio. Explain your thinking and how you got your answer.

Answers

6:2 and 24:8 Because they are only multiplied and divided so they are basically the same number

One game had an attendance of 25,000 visitors. Based on the table, how many people out of 25,000 could be expected to buy a flag?

A.
1,375

B.
1,650

C.
3,850

D.
2,750

Answers

The answer is D i’m sure

The number of people who could be expected to buy a flag using the expression (22/200) x 25,000 is 2,750.

Option D is the correct answer.

We have,

Based on the table,

The number of people who could be expected to buy a flag out of 25,000 visitors is:

(22/total items sold) x 25,000

To find the total items sold, you can add up the number of caps, jerseys, flags, and programs:

Total items sold.

= 68 + 19 + 22 + 91

= 200

The number of people who could be expected to buy a flag is:

(22/200) x 25,000 = 2,750

Thus,

The number of people who could be expected to buy a flag is 2,750.

Learn more about expressions here:

https://brainly.com/question/17121675

#SPJ2

The complete table is given below:

Item          Number of people

Cap           68

Jersey       19

Flag           22

Program    91

The price of a sweater was reduced from $20 to $12. By what percentate was the price of the sweater reduced?

Answers

The price of the sweater was reduced by 40%.
The answer is 40%. Hope this helps

This table shows a proportional relationship between the grams of peanuts and raisins in a bag of trail mix. Enter the number of grams of peanuts in a bag for every 1 gram of raisins

Answers

Answer:

3.5

Step-by-step explanation:

Hope this helps!

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table:

14 g of peanut = 4 gram of raisins

Hence:

1 gram of raisin = (14/4) = 3.5 gram of peanuts

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

Find out more on equation at: https://brainly.com/question/2972832

What is the surface area of this triangular pyramid?




8 in

8 in

8 in

5 in

6.9 in


square inches

pls help out

Answers

Answer:

Step-by-step explanation:

Hence, the surface area of a triangular pyramid is 140 square units.

Quick plzzz help me on this due tonight
I get help on all question I will give u the brainlyest thing
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Answers

Answer:

2x²+9x-32

Step-by-step explanation:

north length of bedroom plus north length of living room plus north length of kitchen

Please help no links

Answers

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

What is the slope of the line?

Answers

Answer:

slope = 3

Step-by-step explanation:

Up 3 over 1, on the grid so,

3/1 = 3

7. After a discount of 30%, you pay $49.00 for a video game. What was the original price of the game?

Answers

Answer:

$70.00

Step-by-step explanation:

Percentage of original price paid

= 100% -30%

= 70%

70% of original price ----- $49.00

1% of original price ----- $49.00 ÷70= $0.70

100% of original price ----- $0.70 ×100= $70.00

Hey guys... anybody got tips for this one?

Answers

Answer:

the answer is A i think

Step-by-step explanation:

What is the measure of ?
Angles are not necessarily drawn to scale,
B
68
70°
D
A
С

Answers

Answer:

Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.

Is it one of your selections?

what expression is equivalent to -10x + 5
a. -5x
b. -15x
c. 10x -5
d. 5-10x
e. -5 - 10x

Answers

Answer:

-5x

Step-by-step explanation:

-10+5= -5 then you put -5 with x to get -5x

PLEASE HELPPPPPP URGENT

Answers

Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

simply 7/4 squared ​

Answers

Answer:

0.4375

Step-by-step explanation:

The answer to your question is 49/16

Please tell me how to figure it out thanks

Answers

Answer:

A - 4? (Don’t quote me)

Explanation:

It says the tank needs to be quadrupled, and quadrupled means by 4.

long division method​

Answers

Answer: you didnt add a question or possible answer choices so nobody can answer this question

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

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Answers

Answer:

AB = 130°

Step-by-step explanation:

The inscribed angle 65° is half the measure of its intercepted arc, then

arc AB = 2 × 65° = 130°

Your answer would be AB = 130, hoped this helped! (:

Quadrilateral PQRS is a rectangle.

Find the measure of _PTQ.

Answers

Answer:

∠PTQ = 124°

Step-by-step explanation:

∠QPT = 90° - 62° = 28°

∠PQT = 28°

∠PTQ = 180° - 28° - 28° = 124°

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Answers

b) new moon

i’m not sure the explanation but i learned ab this before

Answer:

A solar eclipse is possible during a new moon.

Fill in the blan
points
Given: ABCD is a parallelogram.
Prove: AABD ACDB.
A
D
Statements
Reasons
1. ABCD is a parallelogram.
1.
Given
2.4A 24C
2.
????

Answers

Answer:

Screenshot the answer choices I don't remember them right off rip

Step-by-step explanation:

A population of 2500 frogs increases exponentially at an annual rate of 25%. Which equation below best represents the population (P) in t years?

P=2500(0.25)^t

P=2500+0.25t

P=2500(0.75)^t

P=2500(1+0.25)^t

Answers

Answer:

P=2500(1+0.25)

Step-by-step explanation:

Given  data

Initial population= 2500

Rate= 25%

The exponential increase is described using the expression

P=A(1+r)^t

Hence the correct representation is

P=2500(1+0.25)

Plz help asap with explanation and will get the brilliant

Answers

Answer:

No solution

Step-by-step explanation:

No possible values could add up to these values. If you solve the system of equations. You will get 0 = 10, meaning its impossible.

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Answers

Answer:

- 10/5 = -2

- 1.25 = Box next to -2

0.75 = 2nd box facing the right

-0.5 = Box next to -1.25

3/2 = Last box facing the right

Answer:

-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.

Step-by-step explanation:

which number is composite 5,9,2,11

Answers

Answer:

9

Step-by-step explanation:

To be a composite number, it has to be divisible by something other than 1 and itself.

5, 2, and 11 are all prime numbers, meaning their only factors are 1 and itself.

9 is composite, as it can be multiplied by 1•9 OR 3•3. Since it can be multiplied by something other than 1 and itself (aka the 3 is a factor) is is composite.

Step-by-step explanation:

9 is the composite number

Graph the function.f(x) = 3/8 (x−1)(x−9)

Answers

Answer:

Step-by-step explanation:

What single percentage change is equivalent to a 8% decrease followed by a 13% increase?

Answers

Answer:

5% increase

Step-by-step explanation:

-8% + 13% = 5%

Answer:

the answer is 5 increase

Step-by-step explanation:

A faraway planet is populated by creatures called Mizjigs. All Mizjigs are
either black-footed or red-footed and either one-headed or two-headed.
Ragon, who lives on this planet, does a survey and finds that her colony of
650 contains 120 black-footed, one-headed Mizjigs; 200 red-footed, two-
headed Mizjigs, and 300 one-headed Mizjigs.

Answers

Answer:98

Step-by-step explanation:

Ap3x

Answer:

its 270, just for clarification.

Step-by-step explanation:

Tickets to the fair costs $5 and each ride costs $0.75. If Jacob wants to spend no more than
$18 at the fair, how many rides can he ride?

Answers

Answer:He can ride 17 rides

Step-by-step explanation:

18-5= 13

13 / 0.75 =17.333333333

You have to round down which would give you 17

Heather puts together 25 of a puzzle on Saturday and 310 on Sunday. Nicole has the same puzzle, and she puts together 45 of her puzzle. How much more of the puzzle does Nicole put together than Heather? A. 110 B. 310 C. 15 D. 45

Answers

Answer:

1/10

Step-by-step explanation:

Here is the correct answer

Heather puts together 2/5 of a puzzle on Saturday and 3/10 on Sunday. Nicole has the same puzzle, and she puts together 4/5 of her puzzle.How much more of the puzzle does Nicole put together than Heather? A. 1/10 b. 3/10 c. 1/5 d 4/5

total puzzle heather put together =

[tex]\frac{2}{5} + \frac{3}{10}[/tex]

[tex]\frac{4 + 3}{10}[/tex] = 7/10

the next step is to subtract 7/10 from the fraction Nicole put together

[tex]\frac{4}{5} - \frac{7}{10}[/tex]

[tex]\frac{8-7}{10}[/tex] = 1/10

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