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
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
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)
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:
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 somebody help me with this one?
Answers
6x=5x+10
subtract 5x from both sides
x = 10
answer: x=10
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
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
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.
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
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
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
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:
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]
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
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
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!
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 = $74.96412
20 POINTS!! WILL GIVE BRAINLY!!
how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?
Answers
Answer:
Hello! :) have a good day!
It would take 784 cm³ of solid iron to make the box.
488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
We know the volume of a cuboid is side³.
Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.
So, (10 - 2) = 8 inches of the solid cube is hollow.
Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,
= 10³ - 8³.
= 1000 - 512.
= 488 cubic inches.
learn more about cubes here :
https://brainly.com/question/28134860
#SPJ2
please tell fast plzzzzzz
Answers
Answer:
72 degrees
Step-by-step explanation:
let the ratio be 2x and 3x
2x + 3x =180° ( co interior angles )
5x = 180°
x = 180 ÷ 5
x = 36°
And the smaller angle = 2 × 36° = 72°
Bob bought 24 hockey tickets for 83$
Answers
Answer:
i think the answer is $3.45
Step-by-step explanation:
just had to divide the two numbers
complete inequality for a graph
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]
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
rename 2 6/12 as a mixed number with a fraction greater than 1.
Answers
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
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
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
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
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
Round The Following Number: 194,332.125
Answers
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000