Um monumento na cidade de São Paulo, foi construído seguindo a forma de um tronco de pirâmide de bases quadradas. Seu volume é de 21000 m³ e sua altura é de 30 m. Sabendo que sua base maior tem aresta medindo 40 m, calcule a medida da aresta da sua base menor.

Answers

Answer 1

Responda:

15cm

Explicação passo a passo:

Volume de uma pirâmide = Área da Base × Altura / 3

Dado

Volume = 2100m³

Altura da pirâmide = 30m

Vamos obter a área base primeiro, substituindo o valor dado na fórmula.

2100 = B (30) / 3

2100 = 30B / 3

2100 = 10B

10B = 2100

Divida os dois lados por 10

10B / 10 = 2100/10

B = 210cm²

Como a base é um quadrado

área da base quadrada = 210cm²

L² = 210

L = √210

L = 14,49cm

C ≈ 15cm

Portanto, a medida da borda de sua menor base é de aproximadamente 15 cm


Related Questions

4 people can dig a trench in 3 hours How long would it take 9 people give your answer in minutes

Answers

Answer:

1 hour and 20 minutes

Step-by-step explanation:

If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.

Answer:

it takes 80 minutes

Step-by-step explanation:

Hope this helps

Graph this line using the slope and y-intercept:
y=1/10x

Answers

Go up 1 and to the side 10
Rise over run

Deena has 2 pairs of white socks 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Each
pair of socks is folded together. If she pulls a pair of socks out of her drawer in the morning without looking, what is the
probability that she will choose a pair of white socks?

Answers

Answer:

3/8=0.375

Step-by-step explanation:

There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.

Find the midpoint of the segment with the following endpoints.
(8,4) and (2,7)

Answers

Answer: The midpoint is (5,5.5)

Step-by-step explanation:

Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)

Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)

The final answer is Midpoint = (5,5.5)

please help me please

Answers

Answer:

4/5

Step-by-step explanation:

Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).

We can find the slope by 'subtracting' these points:

(6-2)/(5-0) =4/5

If you ever need to remember this trick, you can remember "rise over run".

I hope this solution helped you. Happy mathing!

test question dont mind me

Answers

Answer: okay.

Step-by-step explanation:

what is -13.72842 rounded to the nearest tenth

Answers

Answer:

-13.7

Step-by-step explanation:

-13.72842

-13.7284

-13.728

-13.73

-13.7

I rounded this way

Answer:

-13.7 is the answer!

Can someone help me I’m slow and not understanding

Answers

answer: B (-1,0) C (-2,4) D (3,5) E (1,1)

explanation: move each point that it calls for.

lmk if that’s wrong

The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship.

Answers

Answer:

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{300-90}{400-120}[/tex]

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.

Mary is n years old. Write an expressions for her age 10 years ago.

Answers

Answer:

[tex]n-10=a[/tex]

Answer:

Mary is x years old

when we write the expression for her age which represents 12 years from now, it means we have to add 12 years in the age of Mary, and she is x years old now

so the expression will be:

x+12

and the expression which represents her age two years ago from now when she is x years old is:

x-2

if we know the x, we can calculate easily her age for above two expressions.

Step-by-step explanation:

Last year you could get a hamburger, fries, and a cola at Francisco's Drive-In for $2.00. Since the price of a hamburger has increased 10%, the price of fries has increased 30%, and the price of a cola has increased 50%, the same meal now costs $2.58. If the price of a cola is now 9 cents more than that of a hamburger, what was the price of each item last year?

Answers

Answer:

hamburger = h = $0.22

Fries = f = $0.96

Cola = c = $0.82

Step-by-step explanation:

Let

last year's price for each item be hamburger = h

Fries = f

Cola = c

h + f + c = 2.00 (1)

The price of a hamburger has increased by 10%

New price of hamburger = 1.10h

The price of fries has increased by 30%

New price of fries = 1.30f

The price of cola has increased by 40%

New price of cola = 1.40c

The same meal now costs $2.58.

1.1h + 1.3f + 1.4c = 2.58 (2)

If the price of a cola is now 9 cents more than that of a hamburger

1.4c = 1.1h + .09

1.4c - 1.1h = .09

Multiply (1) by 1.4

h + f + c = 2.00 × 1.4

1.4h + 1.4f + 1.4c = 2.8 (3)

1.1h + 1.3f + 1.4c = 2.58 (2)

subtract the new equation:

0.3h + 0.1f = 0.22

Multiply by 10

3h + f = 2.2

Recall,

1.4c - 1.1h = .09

1.4h + 1.4f + 1.4c = 2.8 (3)

- 1.1h + 0.0f + 1.4c = .09

Subtract

2.5h + 1.4f = 2.71

multiply by 10

25h + 14f = 27.1

Recall

3h + f = 2.2

Multiply by 14

42h + 14f = 30.8

25h + 14f = 27.1

Subtract to eliminate f

17h = 3.7

Divide both sides by 17

h = 3.7 / 17

= 0.22

h = 0.22

Substitute h into

1.4c - 1.1h = .09

1.4c - 1.1(0.22) = .09

1.4c - 0.242 = .09

1.4c = .09 + 0.242

1.4c = 1.142

Divide both sides by 1.4

c = 1.142 / 1.4

= 0.82

c = 0.82

Substitute values of c and h into

h + f + c = 2.00

0.22 + f + 0.82 = 2.00

1.04 + f = 2.00

f = 2.00 - 1.04

f = 0.96

Therefore, the price of each item last year was

hamburger = h = $0.22

Fries = f = $0.96

Cola = c = $0.82

How to solve 3x-y=11, x+2y=6 with the method of elimination?​

Answers

Answer:

First point we take the centre number

2[ 3x-y=11]

-1[ x+2y=6]

second we multiply and we adding

6x-2y=22

-x+-2y=-6

_________

5x/5=18/5

x= 3.4

Step-by-step explanation:

third point we take 3x-y=11 any x where we see we change 3.4

3(3.4)-y=11

10.2-y=11

y=10.2-11

y=0.8

Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?​

Answers

Answer:

Yes

Step-by-step explanation:

Factoring is the process of breaking a polynomial into its factors.

Standard Form

It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.

Standard form is [tex]x^2-6x+8[/tex]

Factoring

To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.

There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.

-4 * -2 = 8-4 + -2 = -6

This means that [tex]x^2-6x+8[/tex] factored is [tex](x-4)(x-2)[/tex]. Thus, they are equivalent.

Which is the best estimate of (-3/5)(17 5/6)
0 -18
O-9
0 9
O 18

Answers

The answer is -9 I believe

Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?

y=3x to the power of 2, -9x+20

Answers

The Correct answer Answer:

B. both a relation and a function

Step-by-step explanation:

find the outer perimeter of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi.

Answers

Answer:

19.42 ft

Step-by-step explanation:

Triangular part = 5+5 =10

Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42

Perimeter = 10+9.42 = 19.42ft

For semicircular

Outer perimeter

πr3.14(3)9.42

Now

Total perimeter

5+5+9.4218.42ft

Please guys I keep getting this question wrong What letter is located at approximately right answers only

22


A E

B F

C G

D H





Answers

Answer:
B) F
You put √22 in a calculator and it gives you ≈ 4.69

ASAP please answer correctly if you do I will mark brainliest. Only DO NUMBER 10 please so you only have 1 question to do.

Answers

X=2

Step-by-step explanation:

4x=6

-4x.-4

x=2 so your answer Is x=2

Answer:

x = 3

Step-by-step explanation:

perimater

3 + 3 + 2x + 2x

6 + 4x

area

3(2x)

6x

substitute:

6x = 6 + 4x

-4x -4x

2x = 6

x = 3

8. A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60lt - 1.251 shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?

Answers

Answer: See below

Step-by-step explanation:

The graph shows uniform motion. First of all, it travels with constant speed in the time interval of (0 to 1.25) hours. And secondly, it travels with constant speed in the time interval (1. 25 to 2.5) hours.

Which of the following are perfect squares 484 -81 525 125 225

Answers

Answer:

225

Step-by-step explanation:

15X15 equals 225

what is the slope-intercept form equation that represents the line?

Answers

Answer:

y=-1/2x+4

Step-by-step explanation:

Can someone do this?

Answers

Step-by-step explanation:

I wrote down the steps Step-by-step for you

I hope you understand....

(14+42-6)/10+7^2 order of operation

Answers

Answer:

54

Step-by-step explanation:

[tex]\dfrac{(14+42-6)}{10}+7^2[/tex]

Parentheses (14 + 42 - 6) = 50:

⇒ 50/10 + 7²

Exponents 7² = 49:

⇒ 50/10 + 49

Multiplication/division  50/10 = 5:

⇒ 5 + 49

Addition/subtraction:  5 + 49 = 54

⇒ 54

1. How do you define quadratic equations?​

Answers

Answer:

[tex]ax^{2} +bx+c^{2}=0[/tex]

Step-by-step explanation:

A quadratic equation is a equation that takes the form: [tex]ax^{2} +bx+c^{2} = 0[/tex]

   Ex. Using our definition of quadratic equations, [tex]ax^{2} +bx+c^{2}=0[/tex],

          We can set a = 2, b = 1, c = 6:

               [tex]2x^{2} +x+6^{2}=0[/tex]

               [tex]2x^{2} +x+36=0[/tex]

          Which can then be solved (if you are trying to solve it) as:

               [tex](2x+9)(x-8)=0[/tex]

                [tex]x=\frac{9}{2}, 8[/tex]


Write the equation of the line fully simplified slope-intercept form

Answers

Answer:

y=4x-3

Step-by-step explanation:

Answer:

thanks for the answer

Step-by-step explanation:

SisjsjkakaiaiiaiaiaiSKSKSKSKSKKSKSKSKSKKSJSJSKSMSMSJSJSM

Answers

Answer:

2(6+1)

Step-by-step explanation:

its so easy because in sec..134 there is a • like this and look

2(6+1)

2 of 7

2×7

14,,,

and

24-5×2=14,,, is the answer,,,

Juanita begins to factor an expression as shown.

x2+3x−18=(x+)(x−)

What numbers should be placed in the boxes from left to right?

Answers

Answer:

(x+6)(x-3)

solve:

[tex]\sf x^2+3x-18[/tex]

the least common multiple of 1 and 18 is 18 : 6 * 3

[tex]\sf x^2+6x-3x-18[/tex]

breakdown

[tex]\sf x(x+6)-3(x+6)[/tex]

build parenthesis

[tex]\sf (x-3)(x+6)[/tex]

What is the direction of W? PLEASE HELP ASAP

Answers

Answer:

  -161.57°, or 198.43°

Step-by-step explanation:

The third-quadrant angle can be found using the usual rectangular-to-polar conversion. The angle is given by ...

  θ = ATAN2(x, y) = ATAN2(-12, -4) ≈ -161.57°

__

More conventionally, the reference angle is ...

  tan(θ) = y/x = -4/-12 = 1/3

  θ = arctan(1/3) ≈ 18.43° . . . . angle from -x axis (CCW)

Since this is a 3rd-quadrant angle, the positive angle value will be 180° plus the reference angle:

  180° +18.43° = 198.43°

The angle most directly measured from the +x axis is ...

  360° -198.43° = -161.57°

You recently borrowed $500 from a friend. You signed a contract that requires you to pay back one third of the loan every month for three months. How much will you have to pay back each of the first two months? How much will you have to pay back the third month?

Answers

The amount of money I would repay in the first month is $166.67.

The amount of money I would repay in the second month is $166.67.

The amount of money I would repay in the third month is $166.66.

How much would I repay each month?

In order to determine the money that would be repaid each of the first two months, multiply 1/3 by the amount of the loan.

1/3 x $500 = $166.67

Amount to be repaid in the third month = $500 - (166.67 x 2) = $166.66

To learn more about loans, please check: https://brainly.com/question/25811386

A square has a side length of 1.2 feet. If the square is dilated by a factor of 2.5, what is the length of a side of the new square?

Answers

Answer:

Step-by-step explanation:

It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.

Larger

1.2 * 2.5 = 3

Smaller

1.2 / 2.5 = 0.48

Answer:

beef

Step-by-step explanation:

beef is the answer to everything

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