Answers
The area of the composite figures are as follows;
10. Area of the trapezoids are; 96 cm², 80 cm², 96 cm², 80 cm²
Area of the rectangle at the center = 320 cm²
11. Area of the field on the left is 18,600 m²
Area of the field on the right is 11,000 m²
What is a composite figure?A composite figure is a figure that consists of two or more regular shapes.
10. The width of each trapezoid are;
(28 - 20)/2 = 4
(24 - 16)/2 = 4
The area of each trapezoid are;
The area of each of the left and right trapezoid = 4 × (20 cm + 28 cm)/2 = 96 cm²
Area of the top and bottom trapezoid = 4 × (16 cm + 24 cm)/2 = 80 cm²
Area of the rectangle at the center = 16 cm × 20 cm = 320 cm²
11. Area of ΔDEI = 0.5 × 80 m × 60 m = 2400 m²
Area of trapezoid EIGF = 0.5 × (60 m + 50 m) × (60 m + 20 m) = 4400 m²
Area of the triangle ΔAGF = 0.5 × 50 m × 80 m = 2000 m²
Area of ΔAHC = 0.5 × 40 m × (20 m + 80 m) = 2000 m²
Area of ΔABC = 0.5 × 30 m × (20 m + 80 m) = 1500 m²
Area of quadrilateral AHCB = 2000 m² + 1500 m² = 3500 m²
Area of triangle ΔCDH = 0.5 × 40 m × (80 m + 60 m) = 2800 m²
Adding together, we get;
2400 + 4400 + 2000 + 2000 + 1500 + 3500 + 2800 = 18,600
The area of composite figure is 18,600 m²\
Area of ΔEFH = 0.5 × 20 m × 40 m = 400 m²
Area of trapezoid GFHJ = 0.5 × (20 m + 40 m) (40 m + 40 m) = 2400 m²
Area of triangle ΔAGJ = 0.5 × 40 m ×(20 m + 60 m) = 1600 m²
Area of triangle ΔABK = 0.5 × 30 m × 60 m = 900 m²
Area of trapezoid BCF_K = 0.5 × (40 m + 30 m) × (40 m + 20 m) = 2100 m²
Area of triangle ΔCIE = 0.5 × 40 m × (40 m + 40 m) = 1600 m²
Area of triangle ΔCDE = 0.5 × 50 m × (40 m × 40 m) = 2000 m²
Adding the areas together, we get;
400 + 2400 + 1600 + 900 + 2100 + 1600 + 2000 = 11000
The area of the field is 11,000 m²
Learn more about composite figures here:
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Related Questions
1. Write the absolute value inequality in the form x−b≤c or x−b ≥c that has the solution set −1≤x≤3.
2.Write the absolute value inequality in the form x−b≤c or x−b≥c that has the solution set x≤−9 or x≥−5.
WILL BE MARKED BRAINLEIST!
Answers
Answer:
1. We want to write an equation in the form:
Ix - bI ≤ c
Such that the solutions are the range −1 ≤ x ≤ 3
First, the extremes of the range are: - 1 and 3
Half of the difference between these values is:
m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2
Now let's go to the lower extreme, and add this value, we get:
-1 + m = -1 + 2 = 1
(if we go to the upper value and we subtract m, we get the same)
This is the mid-value of the solution interval, and we will define it as M
We now can write the absolute value inequality as:
I x - MI ≤ m
In our case, we get:
Ix - 1I ≤ 2
2.
Now we want to have the solution set given by:
x ≤ -9
x ≥ -5
In this case, we will have an equation of the form:
Ix - MI ≥ m
(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).
So let's do the same than in the above case:
m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2
M = -9 + 2 = -7
Replacing these in the absolute value inequality we got:
Ix - (-7)I ≥ 2
Ix + 7I ≥ 2
How do you know which number is the largest when you compare integers?
Answers
Answer:
Step-by-step explanation:
Lets take 4905 and 802
Firstly to figure out which of these two numbers is bigger we first look at the highest place value that either one of these two numbers have
In this case its 4 in the thousands place in the number 4905
Next we look at which number 802 has in the thousands place
In this case there is no number or 0
4 is bigger than 0 so we know that 4905 is bigger than 802
Lets take another example
4905 and 8204
Here both numbers have a number in the thousands place on is 8 and the other is 4
8 is bigger than 4 so 8204 must be larger
I'm just saying comparing integers should come very easily and you really don't need to think much to figure this out
I'm guessing you mean how do you compare numbers which are non-integers like 4/6 or 4/5 and this is quite easy
There are multiple ways but one method is to just multiply the denominator of one fraction with the numerator of the other and do the same for the other fraction
lets take 4/6 and 4/5
4*5=20
and 4*6= 24
4/6 we can assign 20
and 4/5 is 24
the bigger number is 24 so 4/5 is bigger
Can I have some help with this math? Pls hurry, I will mark brainliest
Evaluate the expression 4² – 25−−√ .
Answers
Answer:
That would be Negative nine
The given expression is evaluated as -12.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 4²-25-√9
Now, 16-25-3
= 16-28
= -12
Therefore, the given expression is evaluated as -12.
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"Your question is incomplete, probably the complete question/missing part is:"
Evaluate the expression 4²-25-√9.
PLEASE HELP!!!!!!!!!!!!!!!!!
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Answer:
It is the fourth graph the line that is short and goes off the page
Step-by-step explanation:
Leo made an apple pie for dessert. He split the pie into 4 slices. What is the angle measurement of each slice?
Answers
please help this is confusing.
Answers
Answer:
The mashi e drilled down 45 feet. So -45
Step-by-step explanation:
72 = 24h
X = 15h
24x = 1080
x = 45
Find the surface area of each figure. Round to the hundredths place when necessary.
Answers
Answer:
SA = 997.88 mm²
Step-by-step explanation:
height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36
height = √243.36 = 15.6
SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)
SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²
The base of a cone has a radius of 6 centimeters. The cone is 7 centimeters tall. What is the volume of the cone to the nearest tenth
Answers
Answer:264cm^3
Step-by-step explanation:
Volume of a cone= 1/3×A×h, where A is base area
Base area=πr^2
=22/7× 6^2
=113.143cm^2
Volume=1/3×113.143cm^2×7cm
=264cm^3
I’m practicing for my test and I’m confused, can you guys help?
Answers
9514 1404 393
Answer:
y = 170 -3x
Step-by-step explanation:
The marked angles are called "same-side interior angles", or "consecutive interior angles" because they are between the parallel lines and on the same side of the transversal. Such angles are supplementary.
y + (3x +10) = 180
y = 180 -(3x +10) . . . . . subtract everything on the left that is not y
y = 170 -3x . . . . . . . . . simplify
4)
Which set of numbers are equivalent?
A)
5
5%, 0.5,
100
B)
8
8%, 0.08,
10
C)
10.
10%, 0.1,
100
12
D)
12%, 0.012,
100
Answers
Answer:
12%,0,012,
100 ok this answer
On Monday the high temperature was 80 degrees. the high for Tuesday was 60 degrees. what is the percent change in temperature from Monday or o Tuesday?
increase or decrease?
_____%
Answers
Answer: decrease of 25%
Step-by-step explanation:
If Aliya can make 10 bracelets in 2 days, how long will it take her to make 35 bracelets?
Answers
Answer:
about 6 1/2
Step-by-step explanation:
10x3=30
10÷2=5
The U.S. Department of Labor reports that the average prices for a dozen eggs in the month of May for the past 11 years are as follows: $1.19, $1.21, $1.50, $1.93, $1.50, $1.52, $1.69, $1.69, $1.87, $2.00, $1.96 Round to the nearest hundredth (cent) if necessary. The mean price of eggs over this 11-year period is The median price of eggs over this 11 -year period is
Answers
Answer:
Mean price of eggs = $1.64
Median price of eggs = $1.69
Step-by-step explanation:
Mean is the average of the given data
Mean = sum of data/sample size
Sum of data = 1.19+1.21+1.50+1.93+1.50+1.52+1.69+1.69+1.87+2.00+1.96
Sum of data = $18.06
Sample size = 11
Mean price of eggs =18.06/11
Mean price of eggs = $1.64
Hence the mean price of eggs over this 11-year period is $1.64
Median is the price in the middle after rearrangement
Rearranging the data
1.19, 1.21, 1.50, 1.50, 1.52,) 1.69, (1.69, 1.87, 1.93, 1.96, 2.00
Since 1.69 falls in the middle after rearranging;
Hence the median price of eggs over this 11 -year period is $1.69
If a line AB is translated in a plane to form A'B', what is true about AB and A'B'?
AA' = BB'
A'A' = B'B'
AA = BB
AB = BB
Answers
Answer:
ab=bb
Step-by-step explanation:
Can someone help me please
Answers
Answer:
Choice C) area = 15.75 ft²
Step-by-step explanation:
area = 3.5 x 4.5 = 15.75 ft²
The ratio of the length to the width to the height of an open rectangular tank is 10: 5: 8. The height is 18 feet longer than the width. What is the volume of the tank
Answers
Answer:
hi
Step-by-step explanation:
how are you
Answer: A: L: W: H = 10: 5: 8
Step-by-step explanation: The height of the tank is 18 feet longer than the width
H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet
Hence, L = 10 * 6 = 60 feet
W = 5 * 6 = 30 feet
H = 8 * 6 = 48 feet
Volume = 60 * 30 * 48 = 86400 ft³
Surface Area = 2 * (30 * 60 + 48 * 60 + 30 * 48) =12240 ft²
HELPPPPPP PLSSSS HELPPPPP PLLLLLSSS HELPPPPP
Answers
Answer:
5x+3=23. Subtract. -3
Step-by-step explanation:
5x+3=23
5x=23-3
5x=20
x=20÷5=4
x=4
what is the equation of the graph
a) y=1
b) x=1
Answers
Answer:
b) x=1
Step-by-step explanation:
Since, graph is intersecting x-axis at (1, 0)
Therefore the equation of the graph is x = 1
I need help, Triangle Midsegment Theorem
Answers
Answer: 56 deg
Step-by-step explanation:
66-x=x+46
2x=20
x=10
Write a word sentence for the equation y + 3 = 5.
Answers
Answer:
A number plus 3, sum is 5.
Help me please and thank you x
Answers
hope this helps:
x is 10 degrees...
Plzzz can someone help me out???
Answers
Shanti is making a patchwork quilt. Each piece of fabric has a black star on it. She uses the grid shown to plan the locations of the different fabric squares.
a. What transformation maps square 1 onto square 2?
b. What transformation maps square 2 onto square 3?
c. What transformation maps square 1 onto square 5?
Answers
Answer:
A) Translation
B) Reflection
C) Rotation
Step-by-step explanation:
The transformation types in mathematics are;
Reflection, translation, rotation and dilation.
We can see that the squares are all the same size, it's just the position of the stars that will aid us in knowing the specific transformation.
A) We can see that square 2 is the exact same thing as square 1. Just that it was shifted to the right of square 1. Thus, it was translated and the transformation is translation.
B) We can see that the star in square 3 is the exact mirror copy and location from square 2. Thus, this is a reflection.
C) We can see that the position of the star in square 5 is top while that in square 1 is at the left corner. This can only be achieved by rotation.
Three students, Evan, Angel, and Connor, line up one behind the other. How many different ways can they stand in line?
Answers
Answer:
They can line up 6 different ways in line
Step-by-step explanation:
Connor, Angel, Evan
Connor, Evan, Angel
Angel, Connor, Evan
Angel, Evan, Connor
Evan, Connor, Angel,
Evan, Angel, Connor
Hope this helps! Pls mark brainliest
From monday to wednesday alex sold 258 plums altogether what was the average number of plums he sold per day
Answers
Answer:
86
Step-by-step explanation:
Monday to Wednesday is 3 days.
[tex]258 \div 3 = 86[/tex]
Naomi and Peter's teacher receives an order of 127 books.The books are delivered in 10 full cartons and a smaller package containing 7 books.Naomi and Peter determine how many books are in each cartoon using different methods PLEASE ANWSER QUESTIONS BELOW!!!!!!! 1. What is the answer 2.In both solutions the first step is to multiply or divide by 10? 3.The second step is to multiply or divide by 10?
Answers
Answer: 1. subtract 7
2.divide 10
Step-by-step explanation:
I took the quiz
Find the mean, median, and mode of the following data set
17, 18, 13, 15, 12, 11, 35, 18, 14
Answers
Answer: Mean- 17
Median- 15
Mode- 18
Step-by-step explanation: Your welcome. Branliest, please.
What is the area of the polygon?
Answers
Answer:
52 cm²
Step-by-step explanation:
8×5=40
3×8=24
24÷2=12
40+12=52
52 cm² or 52 sq cm
Solve for x . x/2 + 1.1= -2.1
Answers
Answer: x = 1.6
Step-by-step explanation:
Start by Identifying what you need to keep, in this case that would be X. In order to solve for x, you would need to get rid of any co-efficients. (example: +1.1) To get rid of them, you have to do the opposite action of what it's doing to the equation. (subtraction)
1.1- (-2.1) = 3.2 (if you subtract a negative, it turns positive/ you add) leaving you with x/2 = 3.2.
Now that we have our coefficient out the way, we have to get rid of the division so we can only solve for x. We do that by dividing the remainder of the equation by 2
3.2/2 = 1.6
Leaving us with the answer, x = 1.6
Can someone please help me
Answers
Answer:
3x=9
3x*1/3=9*1/3 [reciprocal mean switching the fraction so 3/1--->1/3]
x=3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3x = 9}[/tex]
[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3x}{3}=\dfrac{9}{3}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{3}{3}} \large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: } \mathsf{\dfrac{9}{3}}\large\text{ because that helps us solve for x }[/tex]
[tex]\large\text{New equation: x = } \dfrac{9}{3}[/tex]
[tex]\mathsf{\dfrac{9}{3} = \bf 3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your \underline{answer} is: \huge \bf x = 3 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]