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

If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?

Answers

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!

Answers

Answer:

Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.

(sorry if its incorrect had a hard time reading the picture)

Which one?
A. B. C. or ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Help please, I need this done as soon as possible

Answers

Answer:

b

Step-by-step explanation:

The Answer is B -6 hope this helps

PLSS!!!! HELP!!! ME I WILL MARK U!!!!

Answers

Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

Please help me I got a bad grade and I need to redo them
Find the slope

Answers

Answer:

The first one has a slope of 4

The second one has a slope of 0.3 repeating

Step-by-step explanation:

You pick two points on the graph.

You find the x and y coordinates of each point.

You find the difference between the two x coordinates.

You find the difference between the two y coordinates.

Divide the difference in the y coordinates by the x coordinates.

If im wrong sorry owo im only in elementary school... <3

Answer:

4/6

Step-by-step explanation:

Marietta was given a raise of $0.25 per hour, which gave her a new wage of $10.75 per hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise. Complete the explanation to show that your answer is reasonable.

Answers

Answer:

10.50$

Step-by-step explanation:

Please find the locator point (h, k) of the function
y=-(x+2)^3-5

Answers

the (h,k) is (-2,-5)

PLSS!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

2. What is the slope and the y-intercept of the
table? Show your work.
Slope =
y-intercept =

Answers

slope: 3

y-intercept: 4

Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy?

Answers

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.

Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.

Answers

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

Subtract.
7/z +3
2/z+3
Simplify your answer as much as possible.

Answers

Answer:

5/z

Step-by-step explanation:

(7/z + 3) - (2/z + 3)

distribute the minus sign

(7/z + 3) - 2/z - 3

simplify

7/z + 3 - 2/z - 3

5/z

A bottled water company charges $8 per month for a water
cooler and $5 per bottle b of water. Write an equation that
represents the total cost C for monthly water service.

Answers

8+5b=c $8 a month added to $5 multiplied by amount of water bottles = the total cost a month

May somebody please help me

Answers

Answer:

I can't see the options

Step-by-step explanation:

Hi. I’m pretty sure the answer would be C. Cashews cost 9.50

Which graph shows a system with no solutions? Graph A Graph B Graph C y= 2r-1 2y 4x-2 A. Graph C OB. Graph B C. Graph A​

Answers

Answer:

graph b

Step-by-step explanation:

PLEASE HELP ME ASAP! I WILL DO AND GET YOU ANYTHING YOU WANT! PLEASE! THANKS!

Answers

Answer:

18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18

Step-by-step explanation:

I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!

Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.

PLEASE HELP

Answers

Figure 1:
x+120=180.
x=180-120
x=60


Figure 2:
a+73=180(linear pair)
a=180-73
a=103


a+x=180(alternate interior angle)
103+x=180
x=180-103
x=77

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

Simply the question in the picture

Answers

Answer:

1

Step-by-step explanation:

What is 2+2? I think the answer is 6 :)

Answers

Answer: wut yea i think it's six too.

The answer is 4 because look at this: ♥ ♥

That's 2 hearts

If you add 2 more:

♥ ♥ ♥ ♥

1  2  3  4 --> 4 hearts!

♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥

So, 2 + 2 = 4.

Ok :

Anyone Need Help Urgent
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
a)To find how much it can hold.
b)Number of cement bags required to plaster it
c)To find the number of smaller tanks that can be filled with water from it ? .....I will mark as BRAINLIEST.... Thank you!

Answers

Answer:

c

Step-by-step explanation:

On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita’s paddling speed in still water and the speed of the river’s current

Answers

Answer: C (ED 2020)

Step-by-step explanation:

C, s + c = 2.75

c - s = 1.5

.60 mi/h

Solve the system of equation

Answers

Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

The Duquesne Incline, a cable car railway, rises 400 feet over a horizontal distance of 685 feet on its ascent to an overlook of Pittsburgh, Pennsylvania. What is the slope of the incline?

Answers

Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.

Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.

(3x^8)(5x) simplify using Law of exponent

Answers

It would be 15x^5 if u need the steps comment

What is the Y-intercept and The slope of the equation?
2x+7y=14

Can someone please help me with this!!!

Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9

Y-intercept choices
A. 2
B. 7
C. -2
D. 0

Answers

Answer:

Slope = -2/7; Y intercept = +2

Step-by-step explanation:

First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:

y = mx + b

Here's how:

[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]

The above shows this equation in slope intercept form: y = -2/7x + 2.

The slope of this line is -2/7 while the y intercept is 2!

*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!

Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3

is 54/35 a rational number?

Answers

Answer:

54/35 is a rational number!

Have a great rest of your day!

Answer:

Yes and no

Step-by-step explanation:

The number 54 is a rational number if 54 can be expressed as a ratio, as in Rational. A quotient is the result you get when you divide one number by another number. Although the 54 is good the 35 is not due to it if you had to choose if it was or not you can say yes but it determines the question.

What value of x will make the triangles similar by the SSS similarity theorem?

x =

Answers

Answer: 28 is correct!!

Step-by-step explanation:

Answer:

The answer is x=28.

Step-by-step explanation:

I hope this helps.

help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*

Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?

a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g

Answers

Answer:

C. 45 + 7h = g

Step-by-step explanation:

This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.

Example:

Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.

45 + 7(3) = g

Now you just have to solve the equation.

45 + 21 = g

Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.

g = 66

Please answer this.. please

Answers

the second one and the last one
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