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

through:(-3,-1), slope=4/3

Answers

Y+1 =4/3(x+3) this is in point-slope form.

16
Which equation has a graph of a vertical line?

Answers

Answer:

3rd option

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through

The only equation in this form is option 3

3x - 2 = 0 , as

3x = 2 and

x = [tex]\frac{2}{3}[/tex] ← equation of vertical line

(03.02 MC)
The vertices of AGHI are G (2, 4), H (4,8), and I (8,4). The vertices of AJKL are ) (1.), K (2, 3), and L (4,1). Which conclusion is true about the triangles?

whats the answer

Answers

Answer:

The coordinates of J are missing.  Plus, I don't see options for the conclusions.  I made an imaginary point J, which you could correct to form the proper triangle.

Step-by-step explanation:

See the attachment.  Plot all the vertices, including a corrected point J and draw the resulting triangle.  It might be that AJKL is a slightly smaller, shifted version of AGHI.  Enter the correct coordinates and then compare.

Find the zeros of this polynomial:

p(x)= (x²+4x+3)(x²-4)

Answers

Answer:  -3, -2, -1, 2

====================================================

Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

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

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

-------------

Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

--------------

In total, the four roots are:

x = -3x = -2x = -1x = 2

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

start a conversation with me and you get 100 points :D

Answers

Answer:

lol hi :D

Step-by-step explanation:

Answer:

Hey what's up?

Step-by-step explanation:

How's life

PLS ANSWER THE FOLLOWING QUESTION
*AND I WILL MARK U AS BRAINLIST*

Answers

Answer:

729

Step-by-step explanation:

Multiply and cross cancel

A …….…………..………………………………………..

B =
Round your answer to the nearest hundredth.

Answers

Answer( angle b) = 41.82 °

Answer:

Angle B = 48.19

#Rounded off to the nearest hundredth after the decimal point

Step-by-step explanation:

As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...

Now to solve this question we need to first see what values are given to us! So the values given to us are

Hypotenuse= 3

Adjacent= 2

C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)

B=?

A=?

Questions objective= find B

I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below

Now coming back to the question,

The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine

the way we shall interpret it is quite simple

Cos ∅°=  [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Now by interpreting the values from the diagram

Cos A°= [tex]\frac{2}{3}[/tex]

Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value

so by this statement we need to put an inverse of Cos

∴ A°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])

A°= 48.1896851

Now we need to subtract the value of 180° - (Angle A + Angle C)

by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)

hence B= 41.82 °

We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)

Please do double-check it as I could've made a mistake too

Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day

Take care of yourself and I guess the answers complete :)

PLZ ANYONE HELP ME PLZ BEFORE THE HOLIDAY BREAK BEGINS!!!!!!!!!!!!!!

The Uber base fare is $1. There is a charge of $1.05 per mile. You also plan to give the

driver a $2 tip.

Task 1 Student Directions:

Part A: Write an expression to represent the amount of money need to take a taxi or take Uber.

(x = the number of miles.)
Taxi Expression: ____________________ Uber Expression: __________________

Part B: Complete the table to determine how much it will cost to go 12 miles, 20 miles and 50 miles.

Taxi Uber

Part C: Which mode of transportation is better, use information from the table to support your answer. BUT PLZ JUST DO THE PART B AND PART C ONLY THANKS.

Answers

Answer:

Part A. (Uber)$1 + $2 + 1.05x

(taxi)

Part B. (Uber)$15.60 (12mi) $24(20mi) $55.50(50mi)

(taxi)

Part C.

Step-by-step explanation:

Part B. Uber

12 miles: $1 + $2 + 1.05(12)

3+12.60

15.60

20 miles: $1 + $2 + 1.05(20)

3+21

24

50 miles: $1 + $2 + 1.05(50)

3+52.50

55.50

Part B. Taxi

Part C.

How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?

Answers

3
±
i

39
4
I hope this helps

The interior angle of a regular polygon IS 180°.find the value if its exterior regular polygon

Answers

Answer:

Sum of exterior angle is [tex]360^0[/tex]

Value of each exterior angle is [tex]120^0[/tex]

Step-by-step explanation:

Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]

Here

[tex](n-2)180=180\\\\n=3[/tex]

Hence the polygon is triangle

Sum of exterior angle is [tex]360^0[/tex]

Sum of one exterior angle

[tex]=\frac{360}{3} \\\\=120^0[/tex]

Question 1 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
2x - 4y= 5
6x – 3y=10
O A. Multiply the top equation by 3 and the bottom equation by 4.
B. Multiply the top equation by-3 and the bottom equation by 2.
ООО
C. Multiply the top equation by-2.
D. Multiply the top equation by-3.

Answers

Answer:

D.

Step-by-step explanation:

Name the ray in TWO different ways.
M N P

Answers

MP
PM
Assuming your n is on a side

Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues.

A. Write a function that can be used to determine c, the total cost, for a member to attend n, number of dances a year.

B. How much will a member pay if they attend 15 dances during the school year.

1. Summarize the given situation in your own words. (What do you notice?)

2. Explain: What is the essential information you can use to find the solution?

3. Find the Solutions to parts A and B above. Show your thinking in the space below.

Answers

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Part A; The function for the total cost is; c = 50 + 4·nPart B; The total cost for attending 15 dances is; c = $1101. The initial cost is $50 and the rate is $42. The annual fee, the admission price, and the number of dances attended3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

The admission price for each person.The annual fee for membership dues.The number of dances a member attends in a year.

3. Part A; c = 50 + 4·n

Part B; c = $110

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Find the measure of 48.
8
140°
40°
[?]

Answers

Answer:

40°

Step-by-step explanation:

Using corresponding angle rules

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11)?.

Answers

Answer:

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata

please help me, tysmm! and no spam or links please it's rlly annoying -_-

Answers

The slope is -2/1.
Rise/Run.
Down 2/ Left 1. Because it’s going down, put a negative.

plz help me find this answer for number 9 and number 10 offering 20 points for a answer !!

Answers

Answer:

7

Step-by-step explanation:

Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:

[tex]3x^2+7y^3+2x+9y-5y^2[/tex]

The first term is: [tex]3x^2[/tex]

The second term is: [tex]7y^3[/tex]

The third term is: [tex]2x[/tex]

The fourth term is: [tex]9y[/tex]

The fifth term is: [tex]-5y^2[/tex]

Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:

The first coefficient is: 3

The second coefficient is: 7

The third coefficient is: 2

The fourth coefficient is: 9

The fifth coefficient is: -5

Does (–2, –2) make the equation y = x true?

Answers

Answer:

Yes.

Step-by-step explanation:

According to the given co-ordinate.

(x,y) = (-2,-2)

i.e. x = -2, y = -2

So, We can say that x = y = -2.

Hence, the given co-ordinate makes the equation y = x true.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

While In a cave what did Sirius tell Harry and his friends about crouch

Answers

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

Learn more about Harry on:

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if x + y = 180 and y = 45, then x + 45 = 180 an example of substitution?

Answers

Answer:Yes. This is an example of substitution.Reason:

This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Easy math problem
……………………………………

Answers

Answer:

if its easy then answer it .-.

Step-by-step explanation:

Answer:

u =-3

Step-by-step explanation:

Find the measure of y.
• 110°
• 100°
• 103°
• 93°

Answers

Answer:

110°

Step-by-step explanation:

Alternate angles are equal.

Hope this helps and have a good day!

Measure of y is [tex]103^0[/tex]

What is quadrilateral ?

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.

110 + Z =180 ......................(Linear pair)

So, the measurement of angle z is 70.

Since,  Sum of all interior angles of quadrilateral = 360°.

then...

Y = 360 - (100 + 87 + 70)

Y = 360 - 257

   = 103

Hence, measure of y is [tex]103^0[/tex]

To learn more about the  quadrilateral here:

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#SPJ7

Make x the subject of the formula x/a 2 + 3 b = 2 c

Answers

Answer: x=-3ab/2+ac

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Please help on both. I’m not sure of my answrs before I submit. Thank u :)

Answers

Seems pretty good good job

One serving of ice cream has 320 calories. If there are 6 servings in the container and you ate of the container, how many calories did you eat?

Answers

Answer: You ate 1920 calories

Step-by-step explanation:

It’s pretty simple,

all you have to do is multiply 6 by 320.

this then gets you 1920

Answer:

1920 calories

Step-by-step explanation:

6servings*320cal/servings = 1920cal (servings cancel)

what is factor write its type​

Answers

Answer:

These are the answers

Step-by-step explanation:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Hope it helps !


A circular fish pond is shown below. What
is the circumference of the pond? The radius is 18.5cm

Answers

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

nth term of 5,8,13,20,29

Answers

The answer to the problem is 85 if you were looking for the ninth term, but I’m not for sure what you were looking for

Answer:

nth term = 4 + n^2

Step-by-step explanation:

Sorry if the answer is long but I'm hoping my explanation can help.

In order to understand the issue, we should try to find the pattern between the terms given.

The terms given were 5, 8, 13, 20 and 29.

Between the first term and second term, the difference is 3.

Between the second and third term, the difference is 5.

The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is

2n - 1.

Hence, we can determine the pattern of the numbers is

nth term = (n-1) term + 2n - 1

We can use this to find term 0 (before term 1) by plugging in the values for term 1

5 = 0th term + 2 (1) - 1

5 = 0th term + 1

Hence the 0th term = 4

If we expand on the summation,

We can find the nth term

nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1

As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.

We can rewrite it as

nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n

Now, we will move 4 and n to one side.

nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n

We can factorize 2 out from every term to the right of -n. This would give out

nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)

The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.

The triangular formula is stated such that

Tn = (n*(n+1))/2

This heavily simplifies the equation into

nth term = 4 - n + 2 [(n*(n+1))/2]

This equation becomes

nth term = 4 - n + n^2 + n.

Now, we can finally simplify into the final equation

nth term = 4 + n^2

HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?

Answers

Answer:

Minneapolis

Step-by-step explanation:

Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.

Answers

The answer would be 61m^2

5x11=55
8-5=3
11-9=2
2x3=6
6+55=61

and since it is the area it is squared
hope this helps
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