There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.

Answers

Answer 1

Answer:

Given below

Step-by-step explanation:

a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.

b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.

Area of 1 box = 3*3.5= 10.5

c)  The area of the outer rectangle = 8*12= 96 square units.

The area between the two rectangles along the breadth = 3*7= 21 of one side.

The area between the two  sides along the length = 6*1= 6 square units.

Subtracting 21+21+6+6= 54  from 96 gives  42 square units

d)  Area= length *breadth

           = 6* 7= 42 square units.

Hence by all four methods the total area remains the same.

There Are Four Primary Strategies For Determining The Area Of Two-dimensional Figures And Shapes: A)

Related Questions

I just bought a punching bag and it came with these two thing. Anyone know what that is and how to use it?

Answers

Answer:

the ball is to help with reflexes you have to dodge the ball so you dont get hit

i think

2h + 2h and 4h
plsssss help

Answers

Answer:

8h

Step-by-step explanation:

basically your supposed to combine all of the H's. The numbers are how many there are. Just add the numbers with the same letters, and then stick the letter next to it.

2+2+4= 8

h+h+h= h

8h

Have a good day!! Be tiger fierce!!

8h

2h + 2h = 4h +4h = 8h

Use the tangent to find the length of side PR.Express your answer to the nearest tenth.

Answers

Answer:

PR = 4.9

Step-by-step explanation:

For given angle Q, RQ is the adjacent leg, and PR is the opposite leg.

We recall the meaning of the tangent ratio.

tan A = opp/adj

Here we have

tan Q = opp/adj

tan 51 deg = PR/4.0

PR = 4.0 * tan 51 deg = 4.9

Answer: PR = 4.9

A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me​

Answers

Answer:

110

Step-by-step explanation:

5.5 x 20 = 110

Please help me one more time

Answers

Answer: 24

Yes (x-2) is a factor. There is a remainder.

Step-by-step explanation:

2³-8•2²+14•2-4

8-8•4+14•2-4

0•4+14•2-4

0+14•2-4

14•2-4

28-4

24

Hope this helps if so plz mark me brainly


The Chicago Bears
finished their 2020-21
regular season winning
8 of their 16 games.
What is the ratio of
their wins to losses?

Answers

Answer:

I believe the answer is 8 to 8 (8/8) or 1

Step-by-step explanation:

16-8=8

Wins= 8

Loses= 8

Ratio= 8/8

8/8= 1

The answer depends how the question asks for it, so its either 8 to 8, or 1

8:8 8 wins to 8 losses since 8 out of 16 games were won

Does anybody know how to do this or at least part of it anything would really help!!

Answers

Answer:

So the given equation is h= -5t^2+40t

the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t

75= -5t^2+40t

start by dividing everything by 5

15= -x^2 + 8x

then you can add x squared to both sides and subtract 8x

x^2 - 8x + 15 =0

then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.

x = 5 or 3

so it will be 75 meters above the ground at 3 seconds and 5 seconds

Rewriting the equation

ok so I accidentally already factored it when I divided everything by 5...

I believe the answer here is x^2 - 8x + 15 =0

The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)

the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.

The object is airborne for 8 seconds because the second x intercept is at (8,0)

I don’t remember doing this so can someone please help me!!!

Answers

Answer:

Step-by-step explanation:

10. m-56

11. 4r+3

Drag each tile to the correct box.
Match each equation with its solution.

x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
x + 3 = -7
arrowRight
5x = -2
arrowRight
0.5x = 5
arrowRight

Answers

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Solving equations

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Learn more on equation here: https://brainly.com/question/2972832

#SPJ2

Please help!

6:2(1+2)=??

Answers

[tex]6 \div 2(1 + 2) = 9[/tex]

Explanation :

[tex]6 \div 2(1 + 2)[/tex]

[tex] = 3(3)[/tex]

[tex] = 9[/tex]

write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY

Answers

Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

Which data set is the most spread from its mean?
14, 26, 24, 28
22, 16, 18, 36
22, 28, 20, 22
21, 19, 27, 25

Answers

Answer:

Tha mean is 23 which means there is no answer:)

14, 26, 24, 28: still 23

22, 16, 18, 36:STILL 23

22, 28, 20, 22: 23

21, 19, 27, 25: STILL 23

Answer:

the answer is B

Step-by-step explanation: each number on a c and d is 7-5 away from 23 but b has 36 which is 13 away from 23 and in all is the farthest plz mark brainlest

Help me! Pleaseeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today​

Answers

Answer:

Today, kai ran 1 3/5 kilometers.

Step-by-step explanation:

im sorry if this is incorrect.

Plz guys help me plz

Answers

Answer:

The answer is A!

Step-by-step explanation:

Its correct, I took the quiz :)

this equality contains a viable 3(23+18)<6a

Answers

[tex]3(23+18) < 6a \\ 41 < 2a \\ a > 41/2\implies a > 20.5[/tex]

Hope this helps.

Answer: a >41/2

Step-by-step explanation: Step 1: Simplify both sides of the inequality.

123<6a

Step 2: Flip the equation.

6a>123

Step 3: Divide both sides by 6.

6a/6>123/6

a>41/2

Which of the following shows the equation after both sides have been distributed
-4(x - 2) = 5(3x – 8)
A. 4x-8=15x-40
B. 4x-6=15x-3
C. 4x+8=15x-40
D. 4x+8=15x+40

Answers

A. 4x-8=15x-40 is the right answer (though I think the 4 should be negative)

36-40. The probability that a fatal car accident is alcohol related is over 40%. The probability that a fatal accident happens at night is 5 times more than the probability that it happens during the day.

What should drivers do to stay safe on the road? Write a probability facts that is based in your real life events?​

Answers

Drivers should not drink and drive. I hope this helps if not hopefully someone helps out

HELPP I WILL GIVE BRAINLEIST!! PLSSSSS PLSSSSSSS

Answers

Answer:

x = 3  &&  y = - 1

Step-by-step explanation:

Just solving the two equations

the first equation

y = 4/3 x +3

y  - 4/3 x = 3  ..............................................(1)

the second equation

y = -2/3x -3

y + 2/3 x = -3  ..............................................(2)

by substracting 2 from 1

-4/3x - 2/3x = -6

divide by -1

4/3x +2/3x = 6

6/3x = 6

2x = 6

x= 3

then subsititute by value x in any of given eqautions  

What are verbs? Example ​

Answers

Answer:

Hi! Hope this helps!

Step-by-step explanation:

A verb is used to describe actions.

Example: I JUMPED over the rock. In this sentence the verb is JUMPED

a ver

Step-by-step explanation:

a verb is a word used to describe an action , state , occurrence and forming the main part of a predicate of a sentence

5th grade math. Correct answer will be marked brainliest.

Answers

each bag has 1.25 lbs of raisins, you had to write 2 zeros at the end
Each bag has 1 (1x12 =12) pound of raisins and you have to add two 0’s at the end

Which of the following measures could be used to make triangle?
2,9, 12
4,4,7
3,5,8

Answers

3,5,8. I think.

have a great day :)

it’s the second choice, 4,4,7. This adds up to 15. Use this chart to help remember what to add them up to.

Is parallelogram VWXY a rhombus?

Answers

Answer:

it is a a rhombus......... parallelogram is also called as a rhombus....

a salesperson earns a commission of $476 for selling $3400 in merchandise. what is the commission rate?

Answers

Answer:

Step-by-step explanation:

$476/($3400) = 0.14 = 14%

A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Find the expected frequency for the cell E2,2 to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender. Round to the nearest tenth if necessary. Gender| 0-30| 30-60| 60-90| 90+ Male| 23|35|76|46 Female|31|42|46|16

Answers

Answer:

The expected frequency for the cell E2,2 is = 33

Step-by-step explanation:

The given data is

Gender               | 0-30| 30-60| 60-90| 90+       Totals

Male                    | 23    |    35   |   76    |  46        180

Female               |   31   |    42   |   46    |  16         135    

Totals                    54         77        122    62          315  

The expected frequency for the cell E2,2 is :

Expected for the (30-60 box for females)   =  Total of (30-6)/ (total )* females

                                                                      = ( 77/315)135= 33

Here p= 77/315 and n= 135

therefor X= pn = 33

χ²=  (33-42)²/33= 2.455  ( for the single value of E2,2=33)

Expected for the (30-60 box for males)   =  Total of (30-6)/ (total )* males

                                                                      = ( 77/315)180= 44

χ²=  (44-42)²/44= 0.09

The critical region is  χ² (0.05) 3 ≥  χ²= 11.34

Let the null and alternate hypothesis be

H0:the number of minutes spent online per day is not related to gender

against

Ha: the number of minutes spent online per day is related to gender

The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.  

do this and show work

Answers

Answer:

first: x=1.3024

second: x=12.29

third: x=22 degrees

Step-by-step explanation:

sin 19=x/4

0.3256=x/4

x=1.3024

sin 19=4/x

0.3256=4/x

x=4/0.3256

x=12.29

sin x=3/8

sinx=0.375

x=22 degrees

consider the line y=6/7x-7

find the equation of the line that is perpendicular to the line and passes through the points (6,3)

find the equation of the line that is parallelto the line and passes through the points (6,3) ​

Answers

Answer:

y = -7/6x + b

Step-by-step explanation:

Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.

y = 6/7x -7     (6,3)

y = -7/6x + b

3 = -7/6(6) + b

3 = -7 + b

7     7

10 = b

y = -7/6x + b

Answer:

see below

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will  have a slope of -7/6.

Plug this value (-7/6) into your standard point-slope equation of y = mx + b.

y = -7/6x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = -7/6(6) + b

To find b, multiply the slope and the input of x (6)

3 = -42/6 + b

3 = -7 + b

Now, add 7 to both sides to isolate b.

10 = b

Plug this into your standard equation.

y = -7/6x + 10

This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)

If two lines are parallel to each other, they have the same slope.

The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.

Plug this value (6/7) into your standard point-slope equation of y = mx + b.

y = 6/7x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = 6/7(6) + b

To find b, multiply the slope and the input of x (6)

3 = 36/7 + b

Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.

21/7 - 36/7 = b

-15/7 = b

Plug this into your standard equation.

y = 6/7x - 15/7

This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)

Hope this helps!

Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece​

Answers

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

One fifth of the sum of 3 and a number

Answers

Answer:

1/5(x+3)

Step-by-step explanation:

That is, assuming the number=x

which fraction is 16/64 in lowest terms

PLEASE SHOW HOW U DID UR PROBLEM

Answers

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

Answer:

1/4

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1 / 4

Therefore, 16/64 simplified to lowest terms is 1/4.

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