A pyramid with a rectangular base has a volume of 60 cubic feet and a height of 6 feet. The width of the rectangular base is 4 feet. Find the length of the rectangular base.

Answers

Answer 1

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

Answer 2

The length of the pyramid is 7.5 feet.

What is a pyramid with rectangular base?

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.'

According to the given problem,

Volume = 60 cubic feet

Height = 6 feet

Width of rectangular base = 4 feet

Let the length be x,

Volume =[tex]\frac{L * W * H}{3}[/tex]

⇒ 60 = [tex]\frac{x*6*4}{3}[/tex]

⇒ 180 = 24x

⇒ x = [tex]\frac{180}{24}[/tex]

⇒ x =[tex]\frac{45}{6}[/tex] = 7.5

Hence, we can conclude that the value of the length of the rectangular base is 7.5 feet.

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Related Questions

Given that x=6.2•10^12 and y=2•10^-8, find the value of x•2y​

Answers

Answer:

Step-by-step explanation:

Determine the value of x in the triangle shown.
Question 3 options:

132°


228°


42°


48°

Answers

Answer:

x = 132°

Just add the opposite interior angles

Why is it important to know the background of a poet.

Answers

Answer:

To understand their poems better

Step-by-step explanation:

First you have a general knowledge on why the author made the poem

Second you now have more info to use in order to understand the poems

Third is the same reason why there are people in history books.

These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.
2 cm
5 cm
Surface Area = [? ] cm2 Surface Area = 111 cm?

Answers

9514 1404 393

Answer:

  17.8 cm²

Step-by-step explanation:

The ratio of surface areas is the square of the ratio of the linear dimensions. The small/large linear dimension ratio is 2/5, so the surface area of the smaller cone is ...

  A = (2/5)²(111 cm²) = 17.76 cm²

The area of the smaller cone is about 17.8 cm².

Answer:  [tex]17.8 cm^{2}[/tex]

Question is in picture

Answers

Since it’s a right triangle, use Pythagorean theorem
a^2 + b^2 = c^2 (long hypothenuse side)
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 3
b = square root 3 = 1.7321 round it
Solution: 1.7 ft

Answer: 1.7

Step-by-step explanation: We can use the pythagorean theorem!

A² + B² = C²

1² + B² = 2²

1 + B² = 4

4 - 1 = B²

3 = B²

√3 = B

1.7 = B

Hope this helps :)

You guy's will get 40 points if you help me!

Answers

Answer:

mean = 5+9+9+6+6+11+8+4/7 = 8.29

median = 6

mode = 6

range = 11 - 4 = 7

Answer:

Step-by-step explanation:

5 , 9 , 6 , 6 , 11 , 8 , 4

Mean = sum of all data ÷ number of data

         [tex]= \frac{5+9+6+6+11+8+4}{7}\\\\= \frac{49}{7}\\\\= 7[/tex]

Median: To find median, arrange in ascending order and medianis the middle term

4 , 5 , 6 , 6 , 8 , 9 , 11

Middle term = 4th term

Median = 6

Mode: a number that appears most often is mode

6 appears 2 times

Mode = 6

Range:

Range = maximum value - minimum value

          = 11 - 4

          = 7

ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?

Answers

Answer:

- 22719559.

Step-by-step explanation:

Ariana has 99 oranges. She has to pack 9 boxes with an equal number of oranges. How many oranges should she pack in each​ box?

Answers

Answer:

11 oranges in each box

Step-by-step explanation:

99/9=11

Answer: 11 oranges in each box.

Step-by-step explanation:

Division is used to evenly separate totals into groups (total/#of groups= Quotient per group).

In this case, we divide the total, 99 oranges, by the amount of groups we want, which is 9 boxes, in order to find an even amount for each box from the total oranges.

So, 99/9= 11 oranges per box

Para resolver un sistema de ecuaciones lineales 2x2 por el método de sustitución se debe tener en cuenta:
A) consiste en despejar la misma incógnita en las dos ecuaciones y después igualar los resultados. En primer lugar, elegimos la incógnita que deseamos despejar. En este caso, empezaré por la «x» y despejo la misma en ambas ecuaciones.
B) debemos saber representar las gráficas de las rectas. Nosotros lo haremos uniendo puntos calculados previamente. Terminaremos con un sistema de dos inecuaciones (o desigualdades). En este caso, la solución del sistema es la intersección de dos regiones del plano.
C) es un método lineal ya que no se basa en despejes, se utilizan procesos algebraicos estructurados.
D) consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtendremos una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculamos el valor de x sustituyendo el valor de y que ya conocemos.

AYUDA PLS

Answers

Answer:

El método de igualación consiste en despejar la misma incógnita en las dos ecuaciones y después igualar los resultados.

Los pasos a seguir son los siguientes:

sistema de ecuaciones

En primer lugar, elegimos la incógnita que deseamos despejar. En este caso, empezaré por la «x» y despejo la misma en ambas ecuaciones.

x+y=7; x=7-y

5x-2y=-7; 5x=2y-7

x=(2y-7)/5

Una vez hemos despejado, igualamos:

7-y = (2y-7)/5

5.( 7-y) = (2y -7)

35 -5y= +2y -7

42=7y

y=42/7=6

y=6

Por último, sustituimos el valor que hemos calculado despejando la otra incógnita en una de las ecuaciones iniciales.

Help me for more points right answer only

Answers

Answer:

slope- intercept form

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

The longer piece of wood has dimensions of 1 inch by 1 inch by 8 inches. The
Short piece of wood has dimensions of 1 inch by 1 inch by 4 inches. How many
square inches of paint would be needed to cover all sides of this object?

Answers

I think you would need 18 squares

please whats the answer?

Answers

Answer:

=93

Step-by-step explanation:

[tex]7 \frac{5}{6} + 5 \frac{1}{9} [/tex]Then mutiply 6 x7 with will give you 42 then add 5 which will equal =47

4th grade math lolll

Answers

Answer:

2/5x7

Step-by-step explanation:

Hey! The answer is 14/5.

There is 7 days in one week, so 7•2/5=14/5

Can I get Brainliest please?

Help me please with this problem!!

Answers

Answer:

139°

Step-by-step explanation:

Corresponding angles theorem:

When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°

I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.

Please help another one
Please no joke :)
Have a good day gelp me please

Answers

Answer:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Step-by-step explanation:

We proceed to explain the context on each case and answer appropriately:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

What divided by 76 equals 127

Easy one please answer ASAP

Answers

Answer is : 9692

cxcvbnm

A distribution is positively skewed if which of these statements is true about
the dot plot that represents it?
A. The left tail is longer than the right.
B. The left side is a mirror reflection of the right side.
C. The right tail is longer than the left.
D. The left tail is equal in length to the right tail.

Answers

Answer:

c the right tail is longer than the left

Step-by-step explanation:

Carmen has 8 popsicles in her freezer: 3 grape, 2 cherry, 2 orange and 1
strawberry. If Carmen takes one popsicle out without looking, eats it, and then
takes another popsicle out without looking, what is the probability that both
popsicles will be orange?

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

Suppose Y varies directly with X and Y equals 10 when X equals -3 what direct variation equation relates XNY what is the value of Y when X equals -1

Answers

Answer:

Expression: Y = -10/3 X

Y = 10/3

Step-by-step explanation:

If Y varies directly as X, then;

Y∝X

Y = kX

k is the constant of variation

If Y = 10 and X = -3

10 = -3k

k = -10/3

Substitute k = -10/3 into the expression Y = kX

Y = -10/3 X

This gives the required expression

To get the value of Y when X = -1

Recall that Y = kX

Y = -10/3 (-1)

Y = 10/3

Hence the value of Y is 10/3

Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.​

Answers

Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

Step-by-step explanation:

12 = a (-6 + 5) (-6 - 6)

Answers

Answer:

a=1

Step-by-step explanation:

12 = a (-6 + 5) (-6 -6)
12 = a ( -1) (-12)
12 = a * 1 * 12
12 = 12a
divide 12a with 12
a = 1

Of the 100 gymnasts at a meet, 34 are boys. Write a decimal for the part of the
gymnasts that are girls.

Answers

the correct answers is 0.66 or .66

Answer:

0.66

Step-by-step explanation:

1.00 - 0.34 = 0.66

Which of the following best describes the vertical cross-section of the cylinder ?

A.
cone
B.
rectangle
C.
triangle
D.
circle

Answers

The answer would be d

The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

What is a vertical cross section?

When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.

It can be proven that this shape is always going to be rectangular.

Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

Learn more about vertical cross section here:

https://brainly.com/question/16775837

A closed plain forgive with all sides congruent and all angles congruent is called a

Answers

Answer:

Polygon. A closed plane figure for which all sides are line segments. The name of a polygon describes the number of sides. A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon.

To go from Seattle, Washington, to Los Angeles, California, using the Interstate Train Company, one must travel through San Francisco, California, or Salt Lake City, Utah. Using the information given in the table, which route is shorter and by how much?

Answers

Answer:

The answer is BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

To travel 1400miles from Seattle to Los Angeles it will take the train 35 hours

What is rate?

A rate is the ratio between two related quantities in different units. For example , the train travels 80 miles in 2hrs . the two quantities that are related here are distance and time

here, we have,

distance in miles and time in hours

the time to travel for 1 mile

= 2/80 = 1/40 miles

for the train to travel 1400 miles , it will take it

1/40× 1400

= 35 hours

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complete question:

There is a train that travels from Seattle, Washington, to Los Angeles, California. In its first 2 hours the train went about 80 miles including stops. At this rate, how longer will it take to travel the 1400 miles from Seattle to Los Angeles?

Please help if you wantbbrainleist! :(

Answers

Box 2 I believe is correct because 3 x 1 x 2 is 6.

PLEASE HELP!! I only have 5 mins

Answers

I think the answer is K
I think the answer is J

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

3.3

Step-by-step explanation:

simplify log(16x²) ± 2㏒(1÷×)

Answers

Answer: just simplify condense it then your answer will be log(16)

In the process of completing the square, 3x^2+7x-12 becomes x^2+7/4x=4. True or False

Answers

Answer: False

Step-by-step explanation:

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