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:
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.
Related Questions
What is the opposite of 56?What is the value of –(-4)?
Answers
Answer:
-56;+4
Step-by-step explanation:
56 oopposite is -56
-(-4)=+4
Write an equation of the line that passes through the pair of points.
(-4. - 2). (4.0)
Answers
First find the slope between the 2 points
0--2/4--4
=2/8
=1/4
Then y=1/4 x+b
Now substitute one pair of x and y into the equation
0=1/4*4+b
b=-1
So y=1/4x-1
Done!
rename 2 6/12 as a mixed number with a fraction greater than 1.
Answers
17. A cereal company fills every box with 48 ounces of cereal. The company allows
each box of cereal to be within a tolerance of 0.5 ounces. What is an expression
for the actual weight of the boxes?
Answers
Answer:
47.5 ≤ 48 ≥ 48.5
Step-by-step explanation:
Answer:
47.5 < x < 48.5
Step-by-step explanation:
A box can have more than 47.5 ounces and less than 48.5 ounces.
47.5 < x < 48.5
Simplify the expression. 4x - 2(x - 6) - X
Answers
Answer:
Step-by-step explanation:
4x-2(x-6)-x=4x-2x-x+12
=x+12
Answer:
− X − 1.6 x + 12
Luis wants to buy a skateboard that usually sells for $79.08. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.
Answers
Answer:
$74.96
Step-by-step explanation:
$79.80 × 0.12 = 9.576 (discount)
$79.80 - $9.576 = $70.224
$70.224 × 0.0675 = 4.74012 (add for sales tax)
$70.224 + $4.74012 = $74.96412
Question
The specifications for a laptop computer describe its screen as measuring 15.6 in. However, this is actually
the length of a diagonal of the rectangular screen, as represented in the figure. How wide is the screen
horizontally, to the nearest tenth of an inch?
Answers
Answer:
13.6
Step-by-step explanation:
I got it right
Round The Following Number: 194,332.125
Answers
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000
Write the fraction in lowest terms.
14/37
Answers
Answer:
14/37
Step-by-step explanation:
14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 14 and 37 is 1
Divide both the numerator and denominator by the GCD
14 ÷ 1
37 ÷ 1
Reduced fraction:
14/37
Therefore, 14/37 simplified to lowest terms is 14/37.
20 POINTS!! WILL GIVE BRAINLY!!
how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?
Answers
Answer:
Hello! :) have a good day!
It would take 784 cm³ of solid iron to make the box.
488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
We know the volume of a cuboid is side³.
Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.
So, (10 - 2) = 8 inches of the solid cube is hollow.
Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,
= 10³ - 8³.
= 1000 - 512.
= 488 cubic inches.
learn more about cubes here :
https://brainly.com/question/28134860
#SPJ2
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.
116.8 115.7 114.9 115.4 115.9
Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
Answers
Answer:
a) The deviations from the mean
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
b)
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
Step-by-step explanation:
Step(i):-
Given that the sample observations
x : 116.8 115.7 114.9 115.4 115.9
Mean of the sample
= ∑ x/n
Mean of sample x⁻ = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]
Mean of sample x⁻ = 115.74
Step(ii):-
The deviations from the mean
|x-x⁻| : 116.8-115.74 115.7-115.74 114.9-115.74 115.4-115.74 115.9-115.74
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
|x-x⁻||²: 1.1236 0.0016 0.7056 0.1156 0.0256
The variance of the given sample observations
S² = ∑ (x-x⁻)² / n-1
[tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
Bob bought 24 hockey tickets for 83$
Answers
Answer:
i think the answer is $3.45
Step-by-step explanation:
just had to divide the two numbers
You are saving money to buy a new video game. You already have $12, and each week you save another $5. Which expression can you use to represent the money you have after 'w' weeks?
Answers
Answer:yes 12 +5
Step-by-step explanation:Idrk
Answer:
12 + 5
Step-by-step explanation:
HELP!! Will mark brainliest!! Which of the following will have a remainder of 8 when divided by (x + 1)?
Answers
Answer:
D
Step by step explanation
Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]
Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution
Answers
Solve the inequality:
15 ≤ 3 − 2x
Answers
Divide both sides by 2
2.2 Subtract 6 from both sides
x ≤ -6
2.000 X + 12.000 ≤ 0
Answer: x ≤ -6
Rowan and Brody are both solving the equation 4x=12. Rowan is not sure what to do because he does not know a power of 4 that equals 12. Brody uses his calculator to graph y=4xand y=12 and find the point of intersection. Will Brody’s method work?
Answers
Answer:
Yes, the graph intersects around (1.7925,12), so 1.7925 is a good estimate of the solution to 4x=12.
(1st one in TTM)
Answer:
a
Step-by-step explanation:
it was right
Can somebody help me with this one?
Answers
6x=5x+10
subtract 5x from both sides
x = 10
answer: x=10
Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.
Answers
you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50
please tell fast plzzzzzz
Answers
Answer:
72 degrees
Step-by-step explanation:
let the ratio be 2x and 3x
2x + 3x =180° ( co interior angles )
5x = 180°
x = 180 ÷ 5
x = 36°
And the smaller angle = 2 × 36° = 72°
A tray holds 36 eggs.How many trays are needed to hold 845 eggs.
Answers
Answer:
I'm sorry if i'm wrong but I think it's somewhere between 23 or 25
(maybe 24)
Answer:
24 trays
Step-by-step explanation:
845 devided by 36 is 23 with a remainder of 2 so you will need an extra tray to fill all of them.
can someone pls help me on this
Answers
Answer:
48
Example:
Just multiply them.
Answer:
If you multiply them all together it equals 48 degrees
A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?
Answers
Find the lateral area of a rectangluar prism with ?
Answers
Answer:
40 Squared units
Step-by-step explanation:
[tex]A=2*2*4+2*2*6=40[/tex]
6-6-6-6-6-6-6-6--y50-60976-09-7697967-676-796-790696 6x3
some one help me with these questions (totally not starting a meme)
Answers
Answer:
meme also I don't think you can answer that considering that is a hotlogic oven serial number
Step-by-step explanation:
complete inequality for a graph
Answers
4 x 2/3 is less than 2/3 , since 2/3 is less than 1 is true or false ?
Answers
Answer = FALSE because
4×2/3 = 4
it less than 2/3 since 2/3 = 0
so answer will be false
A set of nine books is arranged in orderly fashion on a Shelf. Each book has 100 pages that is sheets of paper with printing on both sides making 900 pages in all. A work starting on the first page of the book eats through to the last page of the last book how many pages does the worm eat
Answers
Answer:
1( first page of volume 1) + 900 (900 book of 100 pages) + 1 (last page of the book)
b. -2 + 3x = -(x + 6)
Solve for x
Answers
Work:
-(x + 6)
-x - 6
-2 + 3x = -x - 6
Put x to one side of the equation. This one will be on the left side. Add x to do so.
-2 + 4x = -6
Isolate x by adding 2.
4x = -4
Divide by 4 to isolate x for the final time.
x = -1
1) A number which has more than two
factors is called a
number.
O a) Prime Number
O b) Smallest Number
O c) Composite Number
O d) Biggest Number
Answers
Answer:
C) Composite Number
Step-by-step explanation:
The composite number is one which has more than two factors.
eg:- 4,6,9,12,15 etc......
hope so it helped you