A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)

Answers

Answer 1

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]

Area of circular piece=

[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]

Area of rectangular piece=

[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]

Area of 2 triangular pieces=

[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]


Related Questions

2. Find two equivalent ratios of the following ratios: a) 27 : 9 b) 7 : 35

Answers

Answer:

see explanation

Step-by-step explanation:

Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.

27 : 9 ( divide both parts by 9 )

= 3 : 1

(b)

7 : 35 ( divide both parts by 7 )

= 1 : 5

HELP ME OUT REAL QUICK!

Answers

Answer:

Step-by-step explanation:

ab abahha

The Roman god Neptune and the Greek god Poseidon BOTH were considered to be the god ofA)war.B)time.C)the sea.D)the underworld.

Answers

Answer:

C)The sea

Step-by-step explanation:

Ares is the god of war

Hades is the god of the underworld

Cronos is the god of time

Which of the following are involved in graphs of linear equations.

* Intercepts

* The graph is a curve

* The graph is the solution set.

* Slope

* The equation usually has a squared variable

Answers

Answer:

Step-by-step explanation:

* Intercepts  YES  The point where the line crosses the y axis (the value of y when x=0)

* The graph is a curve No.  It would not be a linear equation.

* The graph is the solution set. Yes.

* Slope  Yes

* The equation usually has a squared variable No

the perimeter of a square is 52cm

Answers

Answer:Side = 13cmStep-by-step explanation:

We know that:

Perimeter: 52cm4(side) = 52cm

To find the side, we will need to divide 52 by 4.

=> 4(side) = 52cm=> Side = 52 ÷ 4=> Side = 13cm

Therefore, the side of the square with 52 cm of perimeter is 13 cm.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Under his cell phone plan, Jonathan pays a flat cost of $57 per month and $3 per gigabyte. He wants to keep his bill at $71.10 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Jonathan can use while staying within his budget.

Answers

Answer:

(71.10-57)/3=amount of gigabytes, 14.10/3=4 gigabytes allowed

Step-by-step explanation:

$71.10-$57=$14.10, the amount of money that Jonathan can spend on gigabytes. Then, determine how many times 3 can go into 14.10: 4 times. Jonathan can use four gigabytes and keep his bill under $71.10 a month.

A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.

Answers

The correct option is (B).24 miles.

Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.

Otherwise, just use the basic formula:

[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]

 Given that,

[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).

Since z-score must be Less than 1.5, So

[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]

[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]

I just used normal cdf and got [tex]23.6<x<34.4[/tex].

Hence the correct option is (B).24 miles.

For more details on z score follow the link:

https://brainly.com/question/13299273

 

Answer:

B

Step-by-step explanation:

Correcct on edge22

Complete the table for this equation.

y=x−3

Enter your answers by filling in the boxes.

x y
5
6
7
8
9

Answers

Answer:

5 => 2

6 => 3

7 => 4

8 => 5

9 => 6

Answer:

2,3,4,5,6

Step-by-step explanation:

y = 5 - 3 = 2

y = 6 - 3 = 3

y = 7 - 3 = 4

y = 8 - 3 = 5

y = 9 - 3 = 6

What is the area of the parallelogram?

Answers

Answer:

24cm

Step-by-step explanation:

because 6 x 4 = 24 centimeters

The answer is the third one

BRO SOMEONE PLSS HELP ME

Write the inequality that represents the possible values for x

Answers

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

reasking the answer for this one, solve for x please and thank you. click on file ​

Answers

Answer:

44

Step-by-step explanation:

A circle is 360 degrees.

145 +136 + 35= 316

360-316= 44

44 Degrees

The answer is 44° . Hope this helps!!!

An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.

Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.

Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.

Which method describes an experiment?

Method B is an experiment because every car receives the additive.
Method A is an experiment because the additive is used with a new tank of gasoline.
Both methods are experiments because the additive is used in a new tank of gas in both methods.
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

Answers

Answer:

Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

Hit brainliest if this was helpful :)

Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

What is experiment?

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.

What is mileage?

Mileage tells us how many number of miles travelled or covered.

According to questions, an auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.

In Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.

In Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.

Based on the questions, Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B does not report the mileage before fuel additive.

Hence, we can conclude that Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

Learn more about experiment  here:

https://brainly.com/question/1759863?referrer=searchResults

#SPJ2

Michael is packing books into boxes. Each box can hold either 15 small books or
8 large books. He needs to pack at least 35 boxes and at least 350 books. Write
and graph a system of linear inequalities to represent the situation

Answers

Let x equal the number of tiny book boxes and y equal the number of large book boxes.

Because John must pack at least 35 boxes:

(number of tiny book boxes) + (number of large book boxes) = (at least) 35

x + y ≥ 35

 

Since John needs to pack at least 350 books:

 

(number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350

 

Your system of inequalities is:

 

x + y ≥ 35

15x + 8y ≥ 350

GO INTO DESMOS TO GRAPH

Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel

Answers

Answer:

17.85 answer

Step-by-step explanation:

u add the following and the ans u get u take it away from 25

The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,

Aliana has at most $25 to spend on the cab ride,

Write the equation as shown below,

The total charges of the taxi = flat rate + rate per mile × number of mile

The total charges of the taxi = 7.5 + x × 0.35

Here, x is the number of miles

The total charge should be equal to $25 or less than $25 then,

25 ≥ 7.5 + 0.35x

Solve for x

0.35x = 25 - 7.5

x = 17.5 / 0.35

x = 50 miles

Thus, she can travel a total of 50 miles.

To know more about inequality:

https://brainly.com/question/2038369

#SPJ6

HELLPPPPPP ASAP PLEASE

Answers

Answer:

the answer is A

Step-by-step explanation:

Pleas help me for B and C

Answers

Answer:

In no b 7 people has represented □

In no c 2 people referred giraffe than dogs

Answer:

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form?

Answers

Answer:

y=x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-8)

y-3=x-8

y=x-8+3

y=x-5

I need help asap pls

Answers

Answer:

d? Kerana ianya tidak sama kaki

You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staff and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food ​and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.

Label the bell- shaped curve. (2 pts)


On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)


Was the customer’s wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt)

Answers

3900 ㅤ
Yes, it is unusual

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her error and correct her mistakes.

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-4}{2-(-5)}[/tex]

Her error was subtracting 5 from 2 instead of - 5 from 2

m = [tex]\frac{-7}{2+5}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1 ← corrected solution

1/7 of the pupils in a class like dark chocolate. 1/2 of the pupils like milk chocolate and the rest prefer white chocolate. what fraction of the class prefers white chocolate​

Answers

14+50=64, leaving 36% prefer white chocolate or approximately 1/3

Can U solve it
plz explain fully !​

Answers

Answer:

(9 ^ 3) x 0.04 (4/99)

Step-by-step explanation:

This seems overwhelming, but after simplifying, it will look much easier

Numerator (First Row)

First, we will combine like terms and simplify the top row

(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81

(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)

(9 ^ 2x) x 648

Denominator (Second Row)

Next, we can combine like terms and simplify the second row

(9 ^ x) x 66 - (9 ^ x - 2) x 243

(9 ^ x) - (9 ^ x - 2) x (66 x 243)

(9 ^ 2x + 2) x 16,038

Simplify

Our expression is now

(9 ^ 2x) x 648

(9 ^ 2x + 2) x 16,038

We can simplify it as

(9 ^ 3) x 0.04 (4/99)

PLZ HELPPP

Use the distributive property to fill in the blanks below. ​

Answers

Answer:

4 - 3

Step-by-step explanation:

fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D

EJ practice football for a minimum of 6 hours a
week. He practices for 1.5 hours each session. If
EJ has already practiced 3 hours this week, how
many more sessions must he practice to meet or
exceed his goal?

Answers

Answer:

He must practice at least 2 more times

Step-by-step explanation:

i need help with the second part pls

Answers

Answer:

  (x, y) = (22, 35)

  base angle theorem; angle sum theorem

Step-by-step explanation:

Base angles theorem:

Angles opposite congruent sides are congruent:

  3x -11 = 2x +11

  x = 22

__

Angle sum theorem:

The sum of angles in a triangle is 180°.

  (3x -11)° +(2x +11)° +2y° = 180°

  5x° +2y° = 180°

  2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x

  y = 35 . . . . . . . . . divide by 2

PLLZ HELLP QUESTION IS BELOW!! :D

Answers

Answer:

The answer to the first question is 32 but I don't know the slope of the line, sorry

Find the value of √1600×8²+√4225​

Answers

Step-by-step explanation:

√1600×8²+√4225

40 x 64 + 65

= 2625

Ok done. Thank to me :>

Help please! Due today

Answers

Answer:

First triangle: 54.46 degrees

Step-by-step explanation:

For the first problem, solve for the third side, then the third angle, and then subtract from 180.

20^2 + 28^2 = c^2

400 + 784 = c^2

1184 = c^2

34.41 = third side

Find the third angle:

sin(90)/34.41 = sin(x)/20

20 * sin(90)/34.41 = sin(x)

35.54 is the third angle.

180 - 35.54 - 90 = 54.46. The angle with the question mark is 54.46. Do the other 2 problems the same way.

What is the difference between the simple and compound interest if you borrow $3,000 at a 6%
interest rate for 2 years?

Answers

Simple interest rate is based solely on the principal amount so total money owed = 3000*1.06
Compound is based on the principal amount and interest (interest on interest)
If we assume the money is compounded annually the total money owed would be
3000*1.06^2

plz I just wanna if my answers are true​

Answers

Answer:

3^2

3^4

3^6

Step-by-step explanation:

9 is actually 3^2, so you have the first one wrong.

The second one is correct, but the third one is not

Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.

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