find the total area of cardboard used in making a matchbox, complete with the sliding portion, 4cm long, 2.5cm wide, and 1.2cm deep (ignore the thickness of the cardboard)

Answers

Answer 1

Answer: 55.2 cm^2

Step-by-step explanation:


2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2


(2x1.2x4 + 4x2.5) = 19.6 cm^2


(35.6 + 19.6) = 55.2 cm^2


Related Questions

solve for t; 1/11=cos((2π/3)t)

Answers

Answer:

Step-by-step explanation:

Method

Take the inverse Cos of both sides. That will give you the angle on the left.

From there you can solve for t

cos-1(1/11) = cos-1 cos ((2pi/3)t)

1.4798 = 2*pi*t/3                              Multiply both sides by 3/2

1.4798 * 3/2 = (2pi*t/3)*3/2

2.2196 = 2*pi*t                                 Divide both sides by 2*pi

2.2196 / (2*pi) = t

t = .3534

This was done by setting my calculator to radians. 1.4798 is a radian measure.

Complete the table below.
ਪੁ = 22 y = 21
0
0
1
1
1
1
2

Answers

Answer:

20.1168

Step-by-step explanation:

Step-by-step explanation:

Are you the person you want to be?

i know it's not math but please answer

Answers

Answer:

yes because no one is perfect than god.

Need some math help thanks in advance!

Answers

Answer:

x = 10

y = 6

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

Prove it Step by Step. Parallelogram Based Question. I will make Brainelist + 50 points ​

Answers

Answer:

(i) ABCD = ABEC

(ii) As BF || AC then BE || AC, so CE = AB.

As AB = DC, then DC = CE

(iii) ΔDGE ≠ ΔCFE so I assume there is a typing error in the question, as

ΔDGC = ΔCFE

As DC = CE (as proved in (i)), AC || BE and DG ⊥ AC and CF ⊥ BE then ΔDGC = ΔCFE

(iv)  As DG ⊥ AC and CF ⊥ BE,  and AC || BE, then DG || CF

(v)  As  AC || BE  then GF || DC.  As DG || CF (as proved in (iv)), then DGFC is a parallelogram.

three subtracted from 5 x a number is -128. what is that number
A) translate the statement above into an equation that you can solve to answer this question.

do not solve it yet use x as your variable.
the equation is :
B)solve your equation [A} for x

answer for x

Answers

5-3x=-128

LHS = RHS

(5 - 3) x A = -128

( 2 ) x A = -128

2A / 2 = -128 / 2

A = -64

A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?​

Answers

Answer:

Step-by-step explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80                            Subtract 10 from both sides

7n + 10 - 10 = 80 - 10             Combine

7x = 70                                   Divide by 7

7x/7 = 70/7                             Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37  

Side 3 = 3n + 3 = 30 + 3 = 33

How many sweatshirts sold is BEST predicted with an outside temperature of 5 °F? A) 170 B) 200 C) 230 D) 250

Answers

I think it’s C.230 but I could be wrong

Evan owns a small business selling ice-cream. He knows that in the last week 83
customers paid cash, 8 customers used a debit card, and 2 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.

Answers

The probability that the next customer will pay with a debit card or a credit card is 12%.

What is the probability that the next customer would pay with a debit card or a credit card?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer would pay with a debit card or a credit card = (number of customers that paid with a debit card + number of customers that paid with a credit card) / total number of customers

(8 + 2)/ 83 = 0.12 = 12%

To learn more about probability, please check: https://brainly.com/question/13234031

Hamilton, NY has 73465 residents, and 12 members on their Board of Trustees. The three districts of Basel, Heights, and Dagonal have the following populations: Basel: 13,244 Heights: 30, 415 Dagonal: 29,806 Determine the standard quota (to two decimal places) for the Dagonal district. 6) Gotham City is to apportion 16 seats to districts with populations as follows: North: 785 South: 1,125 East: 1,950 West: 415 Find the standard divisor What are the standard, lower, and upper quotas for the four districts?

Answers

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                               North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

What is the quota method of apportionment?

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Hamilton, NY Population:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                             Basel         Heights       Dagonal      Total

Population            13,244        30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Gotham City Population:

Number of seats = 16 seats

                             North         South         East         West      Total

Population               785          1,125         1,950        415       4,275

Proportion            18.36%      26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at brainly.com/question/12105335

Find the larger solution of the exponential
equation
2^x^2= 4^3x

Answers

Answer:The larger solution is 6

Step-by-step explanation:

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

a. y = 7.5x + 1

b. y intercept is 1, which means the puppy weighed 1 pound at birth or at 0 months old.

c. slope is 7.5 which means puppy gained 7.5 pounds a month for the first 6 months.

Step-by-step explanation:

To find slope: use rise/run formula (y2 - y1 / x2 - x1) which is,
(23.5 - 16) / (3 - 2) = 7.5

To find y intercept: Plug in y, x and b in the slope intercept formula (y=mx+b). choose any one of the pairs from the table. i chose 2 and 16. plug it in and the formula would now look like 16 = 7.5(2) + b .

solve for b
16 = 15 + b      (multiply 7.5 and 2)
1 = b               (subtract 15 from 16)
y intercept is 1

(8.2 + (-1.9))² ÷ (-2.7)

Answers

the answer is -14.7 because of pemdas

If George went camping 15 times, how could you figure out how many times Dave went camping?

Answers

Answer:

no you couldnt

Step-by-step explanation:

Which set has an average of 2?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

the answer is option b because the sets in option b have an average of two and above


What is the area of this trapezoid?
15 ft
Enter your answer in the box
18 ft
37 ft
Ft^2

Answers

Answer: I am pretty sure it's 18 feet.

Step-by-step explanation:

what is the mean of 13,5,11,8,14,15

Answers

Answer:

11

Step-by-step explanation:

The mean is the average. To find the average, add up all the numbers, then divide by the amount of numbers there are. 13 + 5 + 11 + 8 + 14 + 15 = 66. There are 6 numbers. 66 divided by 6 = 11.

Answer:

11 is your mean

Solve 6x - 3y = 12 for y.​

Answers

Answer:

6x-3y=12

+3y

6x=3y+12

divide by 3

2x=y+4

-4

y=2x-4

Hope This Helps!!!

A data set is normally distributed with a mean of 8.1 and a standard deviation of 3.8.
What percentage of the data is above 8.6?
Enter your answer as a number to the nearest whole percentage, like this: 42%

Answers

Answer:

  45%

Step-by-step explanation:

Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.

HELP PLEASEEEEEEEEEEE

Answers

Answer:

the numbee from left to right :

-1.5

-0.25

0.75

1.25

2.25

Answer:

-3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Convert the fractions into decimals:

2 1/4 = 2.25

-15% = -0.15

143% = 1.43

-3/2 = -1.5

0.80 = 0.80

The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4

Hope this helps :)

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

Answers

Answer:

Length: 17 in, Width: 12 in

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=58

4w=48

w=12, l=17

Answer:

Length = 17 inches

Width = 12 inches

Step-by-step explanation:

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

Now, According to the Question :

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]

Therefore,

The width of the rectangle is 12 inches .

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]

Therefore,

The length of the rectangle is 17 inches .

I am so confused... I need help

Answers

Ima say C

Cause there is two bases, top and bottom, and then the two sides

The diameter of a circular placemat is 42 centimeters. What is the approximate area of the circular placemat

Answers

[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]

Answer:

1386cm^2.

Step-by-step explanation:

Radius of a circle = diameter / 2

= 42cm /2

= 21cm.

Area = (3.142 *21*21)cm^2

= 1386cm^2

To convert into metres:

=1386/100

=13.86m^2

Please help with give brainliest

Answers

Answer:

9/20

Step-by-step explanation:

1/4=.25

1/5=.20

add .25 and .20 and you get .45

convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator

Which of the following below is the equation of the quadratic function f(x) with x-intercepts of 0 and -3 for which f(-1)=-2. A. f(x)=-x(x+3), B. f(x)=x(x+3), C. f(x)= x+(x+3), D. f(x)= x(x-3)

Answers

✿————✦————✿

Answer: D

✿————✦————✿

If P = (-6, 9), Find:
r90°(P)
([?], [ ]

Answers

Answer:

(-9, -6)

Step-by-step explanation:

Rotation 90° = (x, y) --> (-y, x)

(-6, 9) --> (-9, -6)

hope this helps and is right!! p.s. i really need brainliest :)

A population P is initially 3000. Find an exponential model (growth or decay) for the population after t years if the population P decreases by 0.36 every 7 years. (Round your terms to three decimal places.)

Answers

The population model is an exponential decay because it decreases

The exponential model of the population is P = 3000(0.64^1/7)^t

How to determine the function?

The population decreases by 0.36 every 7 years.

This means that the function is an exponential decay.

An exponential decay function is represented as:

P = a((1 - r)^1/n)^t

Where:

a represents the initial value (3000)r represents the rate (0.36)n represents the number of years the population decreases (7)P and t are the variables

So, we have:

P = 3000((1 - 0.36)^1/7)^t

Evaluate the difference

P = 3000(0.64^1/7)^t

Hence, the exponential model of the population is P = 3000(0.64^1/7)^t

Read more about exponential functions at:

https://brainly.com/question/11464095

Easy math 2 pictures

Answers

Answer:

Problem #6: 31.8

Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer

Drew and Beau each brought cylindrical water bottle to football practice. Drew's water bottle has a diameter of 3 inches and a height
of 7 inches. Beau's water bottle has a radius of 2 inches and a height of 9 inches. Whose water bottle holds more water and how much more does it hold? Round to the nearest hundredth.

Answers

The bottle that holds more water has the larger volume

Beau's water bottle holds more water

How to determine the bottle with more water?

The given parameters are:

Drew

Diameter = 3 inchesHeight = 7 inches

Beau

Radius = 2 inchesHeight = 9 inches

The volumes of their bottles is calculated using:

V = πr^2h

So, we have:

Drew = 3.14 * (3/2)^2 * 7

Drew = 49.46

Beau = 3.14 * (2)^2 * 9

Beau = 113.04

By comparison, 113.04 is greater than 49.46

Hence, Beau's water bottle holds more water

Read more about volumes at:

brainly.com/question/1972490

What is the product of the two binomials below?

(3A + 4B)(3A - 4B)

A. 9A^2 - 16B^2

B. 2A^2 - 4B^2

C. 3A^2 + 4B^2

D. 9A^2 + 16B^2

Answers

Answer:

A. 9A² - 16B²

Step-by-step explanation:

(3A + 4B)(3A - 4B)

Distribute:

3A(3A - 4B)

4B(3A - 4B)

Multiply:

3A(3A - 4B)

3A(3A) + 3A(-4B)

9A² - 12AB

4B(3A - 4B)

4B(3A) + 4B(-4B)

12AB - 16B²

Combine like terms:

9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out

9A² - 16B²

Therefore, our final answer is 9A² - 16B²

Hope this helps!

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