Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, ambos com 20cm de base e 30 cm de altura, 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm. Determine em cm² quanto foi a área da cartolina que sobrou. * 1 ponto 7595cm² 0,7595m² 7190cm² 0.719m²

Answers

Answer 1

Answer:

7190 cm²

Step-by-step explanation:

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.

Passo 1

Determine a área de todo o papelão

= Temos dimensões = 1mx0,8m

Área = Comprimento × Largura

= 0,8m²

Nós convertemos para cm²

1 m² = 10.000 cm²

0,8m² = x cm²

Multiplicação cruzada

0,8m² × 10.000 cm² / 1 m²

= 8000 cm²

Passo 2

Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura

Encontramos a área de um triângulo

= 1/2 × base × altura

= 1/2 × 20 × 30

= 300cm²

Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2

= 600cm²

etapa 3

Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.

A área de um trapézio =

1/2 (a + b) h

= 1/2 (10cm + 20cm) × 7cm

= 1/2 × 30 × 7

= 105 cm²

Ele cortou dois trapézios, portanto

A área dos dois trapézios do corte = 105cm² × 2

= 210 cm²

Passo 4

A área total do papelão que foi cortado = 600cm² + 210cm²

= 810 cm²

Etapa 5

Determine em cm² quanto de papelão sobrou.

Isso é calculado como:

Área total do papelão - Área total que foi cortada

= 8000 cm² - 810 cm²

= 7190 cm²


Related Questions


Does this represent a function?

Answers

Answer:

Yes

Step-by-step explanation:

Use the Vertical Line Test

Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.

So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.

What is the value of the expression: 144 100​

Answers

Answer:

14,400

Step-by-step explanation:

I'm assuming this is multiplication so it would be 14,400

The number of concurrent users of a social networking site has increased dramatically since . By ​, this social networking site could connect concurrently 70 million users online. The function ​P(t)​(​)​, where t is the number of years after ​, models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in ​, in ​, and in . Round to the nearest million users.

Answers

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee

What is the m< BAD? ( If you are confused look at the picture provided)

Answers

Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

What is the place value of 7 in 7,000.2

Answers

Answer: The thousands place

Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place

what is the value of x in 5x−3(x−11)=7(2x−5)+2

Answers

The value of x is 5.5. I got this answer by first distributing -3 amongst (x-11), and distributing 7 amongst (2x-5). Next I combined like terms and subtracted 3x from 5x, and added -35 and 2. Next I subtracted 33 from both sides. Next I subtracted 14x from both sides. And finally I divided both sides by -12 to get the final answer of 5.5.

Plz helllllpppppp meeeeee

Answers

Answer: x = 25 mi

Step-by-step explanation:

Sides QO and TR are corresponding.

Sides QP and TS are corresponding.

Sides OP and RS are corresponding.

Create the proportion to solve for x:

5/x = 6/30

Cross multiply:

6x = 150

Divide both sides by 6:

x = 25 mi

Hope this helps!

25mi. I’m pretty sure I hope I helped

Hallie has 10 times as many pages to read for her homework assignments as Janet. Altogether, they have to read 264 pages. How many pages does each girl have to read?

Answers

Answer: 24 pages

Step-by-step explanation:

10 times 24 equals 240

Answer:

Janet has to read 24 pages.

Hallie has to read 240 pages.

Step-by-step explanation:

If Janet has to read n pages, then Hallie has to read 10×n.

Together they have to read 11 × n = 264 pages, so: n=264÷11=24.

Hope this helps

If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!!!!!!!!!

Answers

Answer:72

Step-by-step explanation:

I dont have a question anymmore lol k thanks

Answers

Have a great day ;) I hope this was helpful.

PLEASE HELP IM
GOING TO FAIL IF NOBODY ANSWERS THIS

Answers

Answer:

1) 180

2) 67

3) angle 4 and angle 1 are alternate interior angles

4) congruent

5) 59 degrees

6) alternate interior angles

7) congruent

8) 54 degrees

9) 180 degrees

10) 180 degrees

Step-by-step explanation:

Find five liner solutions to the liner equation x-3/2y=-2 and plot the solutions as points o n a coordinate plane
PLEASE HELP i am failing math

Answers

Answer:

y=2x+4

if you need more help comment

Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root

Answers

Answer:

I believe your answer is C

Hope this helps!

Answer:

It's B

Step-by-step explanation:

The equation yˆ=20646·0.86x estimates the value of a brand of car x years after it was purchased new. Milo purchased this brand of car when it was new. To the nearest dollar, what will be the approximate value of Milo's car 11 years after he purchased it?

Answers

Answer:

$195311

Step-by-step explanation:

Given the expression yˆ=20646*0.86x

Given that the number years 11

And x represent the number of years

Substituting x=11 in the expression for the cost we have

yˆ=20646*0.86(11)

yˆ=20646*9.46

yˆ=20646*9.46

yˆ=195311.16

From the analysis he purchased the car fro $195311

Answer:

K12 answer added in attachment below. :)

Step-by-step explanation:

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3

y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3

Answer this right ill give you a brainlyest

A $55 pair of shoes was discounted 15 percent, making the sale price $46.75. The discounted price was then discounted again by 10 percent. Explain how you would find the final price of the shoes.

Answers

Answer:

$42.07

Step-by-step explanation:

If a pair of $55 shoes are discounted by 15%, then $55 (0.15) = 8.25. The pair of shoes were discounted by $8.25.

$55 - $8.25 = $46.75

If a $46.75 pair of shoes is further discounted by 10%, then $46.75 (0.10) = $4.675, or $4.68 rounded.

$46.75 - $4.68 = $42.07

Answer:

Sample response: The final price will be the discounted price multiplied by 100% — 10%. I could also multiply the discounted price by 0.10 and subtract that amount from the discounted price to get the final price.

Step-by-step explanation:

I did the assignment

Which values of x and y would make the following expression represent a real number? (4+5i)(x+ yi)
Ox=4,y= 5
Ox=-4, y = 0
Ox=4, y=-5
Ox=0, y= 5​

Answers

Answer:

C

Step-by-step explanation:

We have the expression [tex](4+5i)(x+yi)[/tex] and we want to find the values of [tex]x[/tex] and [tex]y[/tex] such that the expression will evaluate to a real number.

So, let's first expand the expression. Distribute:

[tex]=4(x+yi)+5i(x+yi)[/tex]

Distribute:

[tex]=4x+4yi+5xi+5yi^2[/tex]

Simplify:

[tex]=(4x-5y)+(4yi+5xi)[/tex]

So, we want to make the second part within the real numbers.

Notice that we only have two ways of doing this: 1) Either both [tex]x[/tex] and [tex]y[/tex] are imaginary numbers themselves canceling out the [tex]i[/tex], or 2), the entire expression equals 0.

Since our answer choices consists of only real numbers, this means that the imaginary part must be equal to 0. So:

[tex]4yi+5xi=0[/tex]

We can divide everything by [tex]i[/tex]:

[tex]4y+5x=0[/tex]

Now, we can use our answer choices.

Running down the list, we can see that the choice that works is C. If we substitute the values of C into the equation, we get:

[tex]4(-5)+5(4)=0\\\Rightarrow -20+20=0\stackrel{\checkmark}{=}0[/tex]

Therefore, our answer is C.

Answer:

c

Step-by-step explanation:

Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.

Answers

Answer:

(0, 3)

Step-by-step explanation:

If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)

Let us assume B to be at (x, y), hence:

[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]

Therefore the location of B is (0, 3)

Answer:

(0, 3)

Step-by-step explanation:

Anyone know the right answer?

Answers

Answer:

41 and 24

Step-by-step explanation:

By what expression can 3
x-1 be multiplied to yield the product 3x3+5x2+x-1?

Answers

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

Given f(x)=70+11x, find f(x)=158

Answers

Answer:

x=8

Step-by-step explanation:

I am assuming you need to find which x value fits this.

So set the two equations equal to each other

158=70+11x, subtract 70 from both sides

88=11x, now, divide by 11 to get x by itself,

8=x, to find these answers, use a calculator or any other method you want.

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less

Answers

Answer:

The task times is  [tex]x =90.77 \ s[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu  =  110 \ sec[/tex]

   The standard deviation is  [tex]\sigma =  15 \  sec[/tex]

 

Generally the task times that qualify individuals for such training is mathematically represented as

      [tex]P(X  <  x) =  0.10[/tex]

=>    [tex]P(X  <  x) = P( \frac{X - \mu}{\sigma }  <  \frac{x - 110}{15} )  = 0.10[/tex]

Generally [tex]\frac{X - \mu}{\sigma }   = Z (The  \ standardized \  value  \  of  X )[/tex]

=>   [tex]P(X  <  x) = P( Z <  \frac{x - 110}{15} )  = 0.10[/tex]

Generally the z -score   of  0.10  from the z-table  is

      [tex]z -score =  -1.282[/tex]  

So

      [tex]\frac{x - 110}{15}   =  -1.282[/tex]

=>    [tex]x =90.77 \ s[/tex]

(-2,7)(0,-3) write the equation that goes through the points

Answers

-3-7/0-2
-10/-2
Slope is
5
Answer
Y=5x-3

solve for x
1/5x+24=50
0.4x+18=-13
3x-5/6=1/6
plz awnser as soon as possible this homework i sue by 11:00 and there are more problems

Answers

Answer:

x=130, x=-77.5, x=1/3

Step-by-step explanation:

1st equation:

1/5x + 24 = 50

1/5x = 26

x = 26(5)

x = 130

2nd equation:

0.4x + 18=-13

0.4x = -31

x=-77.5

3rd equation:

3x - 5/6 = 1/6

3x = 1

x=1/3

The believe the answer would be x=130,x=-77.5,x=1/3 :)

What is 54 ÷ 2/3 ? ​

Answers

The answer to your question is 81.

Answer: 79 1/2

 Convert any mixed numbers to fractions.

    Then your initial equation becomes:

       53/1 ÷ 2/3

Applying the fractions formula for division,

multiply 53/1 by 2/3

      = 159/2

Simplifying 159/2, the answer is

79 1/2

if a=3 and b=5, what is the value of a^2 + b^2?

Answers

Answer:

31

Step-by-step explanation:

6+25=

Answer:

34

Step-by-step explanation:

3^2 = 9

5^2 = 25

25 + 9 = 34

Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!

Answers

1. c

2. c

3. a

4. a

5. d

On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to
chaperones?
2:15
15:17
17:15
15:2

Answers

Yeah 2:15 is the answer sksks

Answer:

D:15:2

Step-by-step explanation:

Trust me on this and also because I have a reason.

2 chaperones for every 15 students

students to

chaperones

15 students for every 2 chaperones

Can I have brainlest please, and I hope you do well!

Edwin went to the grocery store and bought several pounds of fruits. The fruit cost $2 per pound. He bought 2.5 pounds of apples , 1 3/10 pounds of bananas, and 0.85 pounds of kiwis. If he paid with a $10 bill , how much change will be left?

Answers

Answer:5.5 + 2.6 = 8.1 + 1.7 = 9.8

Step-by-step explanation: Soooo i think 20 cents

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