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Part 2: Find the area of each shape below. Show any lines that you need on the shape to help you determine the area. Show any calculations that you make to determine the area.
Answers
Problem 2
Check out the attached image below. I've subdivided the figure into various rectangles and triangles. The reason for this is because we'll then use the area formulas for rectangles and triangles. After finding the area of each little sub-region, you add them up to get the final answer.
We have these six regions: A, B, C, D, E, F
Regions B and D are squares, while everything else is a triangle
area of region A = base*height/2 = 1*3/2 = 1.5area of region B = base*height = 1*1 = 1area of region C = base*height/2 = 1*2/2 = 1area of region D = base*height = 1*1 = 1area of region E = base*height/2 = 1*2/2 = 1area of region F = base*height/2 = 1*3/2 = 1.5Add up those results:
1.5+1+1+1+1+1.5 = 7
Answer: 7 square units=============================================================
Problem 4
The figure is divided into various smaller pieces similar to the previous problem. There are probably a few different ways to subdivide.
This time nearly everything is a triangle, with the lone exception being region D which is a rectangle.
region A = base*height/2 = 1*2/2 = 1region B = base*height/2 = 1*2/2 = 1region C = base*height/2 = 2*1/2 = 1region D = base*height = 2*1 = 2region E = base*height/2 =1*1/2 = 0.5region F = base*height/2 = 3*1/2 = 1.5region G = base*height/2 =1*1/2 = 0.5Add up the subtotals
A+B+C+E+F+G = 1+1+1+2+0.5+1.5+0.5 = 7.5
Answer: 7.5 square units
Step-by-step explanation:
To make it easier, the figure is split by the lines.
Refer to picture
#2Parts 1 and 2 make 3 squaresParts 3 and 4 make 2 squaresPart 5 is 2 squaresTotal area:
3 + 2 + 2 = 7 square units#4Part 1 is 1.5 squaresParts 2, 3, 4 and 5 are half squares each, total 2 squaresParts 6 and 7 make 2 squaresPart 8 is 2 squaresTotal area:
1.5 + 2 + 2 + 2 = 7.5 square units
Related Questions
Given the perimeter P and the side B on the following rectangle are as indicated, find the side.
Answers
Answer:
a=7.6
Step-by-step explanation:
Since the perimeter is the length of the circumference, P=2a+2b=2(a+b)
We know b and P and if we do the math we get the answer
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
Answers
Answer:
x = 53
Step-by-step explanation:
AB ║ CD Given
m ∠APQ = m ∠RQP = 62° If parallel lines, then alternate interior angle =
m ∠DRP + m ∠PRQ = 180° These angles form a linear pair which = 180°
115° + m ∠PRQ = 180° Substitution
m ∠PRQ = 65° Subtraction
m Δ QPR = 180° Definition of triangle
m Δ QPR = m ∠PQR + m ∠QPR + m ∠PRQ the sum of the angles of triangle
180° = 62° + x + 65°
180 = 127 + x
53 = x
Is this a linear function?
5/6x = y − 4
Answers
Answer:
yes
Step-by-step explanation:
yes if you put -4 to the other side
i think so
The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.
a. What is the constant of proportionality, or the unit rate (Leave answer as a fraction)?
b. Write an equation to represent this relationship (write rate as a fraction).
c. If point (6 1/2, y) also lies on this same line, what the value value of y, (otherwise, the y coordinate point?(Write point as a mixed fraction).
Answers
9514 1404 393
Answer:
a) k = 2/5
b) y = 2/5x
c) y = 2 3/5
Step-by-step explanation:
a)The proportional relation is described by the equation ...
y = kx . . . . . . k is the constant of proportionality
The value of k can be found by dividing the equation by x:
y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45
k = 2/5
__
b)As above, the equation is ...
y = kx
y = 2/5x
__
c)Using 6.5 for x, we have ...
y = (2/5)(6.5) = 2.6 = 2 3/5
If one inch is equivalent to 2.54 cm, then how many inches are there in 20.8 cm?
Answers
Answer:
8.18897637795
Step-by-step explanation:
20.8 divided by 2.54 equals 8.2. So 8.2 inches is you answer.
Answer:
1 inch =2.54cm
number of inches in 20.8 = 20.8/2.54 = 8.1889 inches
hope this will help you
Finn collected 4 3/8 pounds of newspaper for the recycling drive, Neil collected 2 times as
much newspaper as Finn. How many pounds of newspaper did Neil collect?
Write your answer as a fraction or as a whole or mixed number
Answers
Answer:
Finn collected 45 1/9 pounds of newspaper [mixed fraction]
Finn collected 406/9 pounds of newspaper [proper fraction]
Step-by-step explanation:
We know Neil collected 4 5/6 pounds of newspaper and Finn collected 9 1/3 times that amount. The question asks us to perform a fraction product, where each one is a mixed fraction.
Finn collected
4 5/6 x 9 1/3
Each fraction will be converted to proper fraction
Jonah collected 45 1/9 pounds of newspaper [mixed fraction]
Jonah collected 406 1/9 pounds of newspaper [proper fraction]
A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?
Answers
A water sprinkler has a rotational motion in order to reach a broad area
from its stationary location.
The time it takes the sprinkler to reach the far right position is 36 seconds.
Reasons:
The given parameter are;
The angular speed of the water sprinkler, ω = 5° per second
Location where the sprinkler starts = The far left position
Required:
The time it takes the sprinkler to reach the far right position.
Solution;
The angle covered by moving from the far left to the far right, θ = 180°
Time required is given as follows;
[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]
Therefore;
[tex]t = \dfrac{\theta}{\omega}[/tex]
Which gives;
[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]
The time it takes the sprinkler to reach the far right position, t = 36 seconds.
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A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.
Step 1 of 2: Suppose a sample of 1221 floppy disks is drawn. Of these disks, 61 were defective. Using the data, estimate the proportion of disks which are defective.
Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
a
Step-by-step explanation:
a
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
1
4
6
12
Answers
we have a = 4, b = 3 , and c = 10
So 3a4b−c = 3 x 4 x 4 x 3 - 10 = 134
ok done. Thank to me :>
Write five and three eighths as an improper fraction and as a mixed number. (1 point)
please help
Answers
Answer:
Five and three eights as an improper fraction is 43 over 8
Denise saves her coins in a cube-shaped coin bank. Her coin bank is 7 inches wide and 7 inches tall. What is the volume of Denise's coin bank?
Answers
bearing in mind that a cube has all equal sides, Check the picture below.
The perimeter of a rectangle is 94 yards. The width is 23yards less than the length. Find the length and the
width of the rectangle.
Answers
Answer:
The length = 35 ; The width = 12
Step-by-step explanation:
Perimeter = 2L + 2W
Length = x
Width = x - 23
94 = 2(x) + 2(x - 23)
94 = 2x + 2x - 46
94 = 4x - 46
94 + 46 = 4x
140 = 4x
140/4 = x
35 = x The length = 35; The width = (35 - 23) = 12
Perimeter = 2L+2W
Length = x
Width = x-23
94=2(x)+2(x-23)
94=2x+2x-46
94=4x-46
94+46
140=4x
140/4 4x/4
35=x (length)
35-23=12 (width)
If x > y, then will always be an integer.
True
Or false
Answers
Answer:true
Step-by-step explanation:
I forgot how to do this n they didn’t put an example help me aushhhahwbwbjsajsbbajs
Answers
Answer:
32
Step-by-step explanation:
3+3+3+4+4+8+8+9=32
Answer:
60 m²
Step-by-step explanation:
In three parts:
1st:
8 × 3 = 24
2nd:
4 × 3 = 12
3rd:
8 × 3 = 24
So: 24 + 12 + 24 = 60
Myra incorrectly factors 15 a-20ab as 5a( 3-4ab).
Factor the expression correctly.
Answers
15a - 20ab
Here, '5' & 'a' are the common factors. So factor them out.
=》15a - 20ab
=》5a (3 - 4b)
Myra incorrectly put 'a' inside the bracket which is wrong because 'a' is a common factor too along with 5.
_____
RainbowSalt2222 ☔
During the year 2011 season a quarterback passed for 302 yd per game he played on my 16 regular season game for that year for how many total yards did the quarterback pass
Answers
Answer:
4,832 yards
Step-by-step explanation:
302x16=
#14 A scale drawing of a rectangular room measures 2 cm by 4 and 1/4 cm. E
The scale used for the scale drawing is 1/2 cm = 5 ft. Carpeting will cost
$8.50 a square foot. How much will it cost to buy enough carpet to cover
the floor of this rectangular room? (**numbers and decimal only in answer
** NO $$ NO comma**) *
Answers
Answer:
Step-by-step explanation:
Width
1/2 cm = 5 feet
2cm = x Cross Multiply
1/2 x = 2 * 5 Combine
1/2 x = 10 Multiply both sides by 2
x = 20
Length
1/2 cm = 5 feet
4 1/4 cm = x Cross Multiply
1/2 x = 4 1/4 * 5 Combine the right
1/2 x = 21.25 Multiply both sides by 2
x = 42.5
Room Area
Area = 20 * 42.5
Area = 850 square feet
Cost
1 square foot costs 8.5 dollars.
850 square feet costs 8.5 * 850
850 square feet costs 7225 dollars.
Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is given in the table.
What is the probability that the hens lay a total of two eggs?
0.05
0.07
0.12
0.93
Answers
Answer:
0.07
Step-by-step explanation:
I'm sorry if its wrong
The probability that the hens lay a total of two eggs is 0.07. Therefore, the option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Hannah has a chicken coop with six hens.
Let X represent the total number of eggs the hens lay on a random day.
Let the probability that the hens lay a total of two eggs be y
From the table,
X=0.02+0.03+y+0.12+0.30+0.28+0.18
We know that, the total of probability should be 1.
Now, 1=0.02+0.03+y+0.12+0.30+0.28+0.18
1=0.93+y
y=1-0.93
y=0.07
Therefore, the option B is the correct answer.
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Review of Fractions, Decimals, Proportions and Percentages:
Renee got a 27 out of 30 on an essay in COM-121. Choose all that are equivalent.
0.90
90%
9:10
111%
9/10
Answers
Answer: The correct answer is 0.90, 90%, 9:10, and 9/10.
Step-by-step explanation:D
Members of the chess club held a bake sale to raise money. Cupcakes and cookies were sold. Cupcakes were sold for two dollars each. Cookies were sold for $0.50 each. The members sold a total of 450 items. Of the items sold 2/3 were cupcakes and the remaining items were cookies. How much did the chess club members raise for the cookies that were sold?
A=150.00
B=85.00
C=75.00
D=450.00
Answers
Total amount raised for the cookies is $75, Option C is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Cupcakes were sold for two dollars each.
Cookies were sold for $0.50 each.
The members sold a total of 450 items.
Let x be the number of cupcakes and y be number of cookies
x+y=450
Of the items sold 2/3 were cupcakes and the remaining items were cookies.
x = 2/3×450 = 300
Y= 450 - 300 = 150
The total amount raised from the cupcakes is $2× 300 = $600.
The total amount raised from the cookies is $0.50 × 150 = $75.
Hence, total amount raised for the cookies is $75, Option C is correct.
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In economics, a firm that faces no competitors is referred to as_____
Answers
Answer:
monopoly
Step-by-step explanation:
that's how the game's name was created
need help rn please?/..Thank you. Multiple step equation
Answers
Answer:
The answer (using BEDMAS) is 27
Step-by-step explanation:
The equation 9 x [(18+2) ÷ 5 - 1] is solved using BEDMAS or PEDMAS
First solve the smaller bracket
18 + 2 = 20
So then it becomes 9 x [20 ÷ 5 - 1]
Do the division inside the bracket next
20 ÷ 5 = 4
Then it becomes 9 x [4 - 1]
Do then subtraction within the bracket
4 - 1 = 3
Then it becomes 9 x 3
Finally solve 9 x 3 which equals 27
1.25 is closer to 1.04 or not ?
plz heelp
Answers
A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand =
Second Brand=
Answers
Answer:
Step-by-step explanation:
Let x be the portion of 60%
180 - x is the portion of 40%
0.60x + 0.40(180 - x) = 0.55(180)
0.60x + 72 - 0.40x = 99
0.20x = 27
x = 135
180 - 135 = 45
First brand = 45 gallons of 40%
Second Brand = 135 gallons of 60%
Write the equation of the line graphed below
Answers
Answer:
y= -1
Step-by-step explanation:
I think mainly because it's on the Y axis (horizontal line) on the negative so it would be ethical for that to be the answer
If there are 12 girls and 23 boys,
write as a ratio for girls to boys in 3
ways below.
to
Answers
Answer:
12:23
12 to 23
12/23
Step-by-step explanation:
I forgot how to do this n they didn’t put an example help me lol
Answers
Answer:
60[tex]m^2[/tex]
Step-by-step explanation:
First, find the area of the square as it the missing piece wasn't missing.
8 x 9 = 72[tex]m^2[/tex]
Then, find the area of the missing section.
3 x 4 = 12[tex]m^2[/tex]
Finally, subtract 12[tex]m^2[/tex] from 72[tex]m^2[/tex] and you get 60[tex]m^2[/tex]
This diagram shows a pre image triangle ABC and its image triangle A'B'C' , after a series of transformations. Select from the drop down menu to correctly complete the statements.
Answers
Answer:
Step-by-step explanation:
ABC is translated right 4 units to become A'B'C'
which is then
Mirrored over the x axis to become A"B"C"
no idea what the last two might be because we don't know the options.
Could be "similar" "magnification of 1" "congruent"
7x+14y−3y+12x+32y+54x+2x+8y
Answers
Answer:
it would be 75 + 51
hope this helps
136
Step-by-step explanation:
plz help me i will mark brainest
what is s
Answers
Answer:
12?
Step-by-step explanation:
6/8 = 9/?
8 x 9=72
72/6= 12
Answer:
6 / 8 on the small triangle and 9 on the big one
Step-by-step explanation:
