Answers
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
Related Questions
Don't we just love geometry! Speaking of that, I need some help!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answers
Answer:
23.3 milesStep-by-step explanation:
Use the law of sines:
a / sin A = b / sin B = c / sin CApply to the given triangle:
AC / sin 39 = 32 / sin 60AC / 0.629 = 32 / 0.866AC = 0.6293*32/0.866AC = 23.3 (rounded)How many pints are in 6.5 gallons?
Answers
Answer:
52 pints in 6.5 gallons.
Step-by-step explanation:
6.5 *8= 52
Answer:
52 pints
Step-by-step explanation:
6.5 * 8 = 52
(*8 because there are 8 pints in a gallon)
if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?
Answers
Answer:
0.04%
Step-by-step explanation:
To find a percentage, we want to create a ratio of a portion by the total.
Our portion is 2.
Our total is 5000.
Let's create the ratio by dividing the numbers.
2/5000
Divide.
= 0.0004
Multiply this by 100 to find the percentage.
0.04%
This is your answer.
Check your answer by plugging it into a percentage equation.
0.04/100 of 5000 = 2
0.0004 • 50000 = 2
2 = 2
Your answer is correct.
Hope this helps!
Tutoring ABC charges $50 sign up fee plus $12 an hour . HW helps charge a $38 sign up fee plus $15 an hour . After how many hours will the total for each company be the same
Answers
Answer:
Step-by-step explanation:
Tutoring ABC - $50 sign up and $12 an hour
HW helps- $38 sign up and $15 an hour
50 38
+12 +15
62 53
+12 +15
74 68 Four months
+12 + 15
86 83
+12 +15
98 98
7/3 =q+2/3 what is q?
Answers
Answer: q=5/3
Step-by-step explanation:
Let's take our equation
7/3=q+2/3
-2/3 -2/3
5/3=q
q=5/3
Answer: q = 5/3
Step-by-step explanation: Step 1: Flip the equation.
q + 2/3 = 7/3
Step 2: Subtract 2/3 from both sides.
q + 2/3 - 2/3 = 7/3 - 2/3
A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.
Answers
Answer:
The standard deviation of the number of females in the sample is 3.21.
Step-by-step explanation:
For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.
Standard deviation of the hypergeometric distribution:
We have that:
N is the population size.
n is the sample size.
s is the number of successes in the sample.
The standard deviation is given by:
[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]
A small liberal arts college in the Northeast has 350freshmen.
This means that [tex]N = 350[/tex]
One hundred five of the freshmen are female.
This means that [tex]s = 105[/tex]
Suppose sixty freshmen are randomly selected
This means that [tex]n = 60[/tex]
Find the standard deviation of the number of females in the sample.
[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]
The standard deviation of the number of females in the sample is 3.21.
an aquarium has 4 plants for every 3 fish there are 36 pants in the aquarium. How many fish are there?
A. 27 C. 32
B 48 D. 42
Answers
Answer:
A. 27 fish
Step-by-step explanation:
4/3 = 36/f
4f = 108
f = 27
The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?
Answers
A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110 What is the median
Answers
Answer:
110
Step-by-step explanation:
The first step is to rearrange the number from smallest to the biggest
62, 76, 80, 83, 90, 110, 110, 121, 147, 160, 164
Median is described as the middle number
Hence the median is 110
does this graph show a function? explain how you know.
Answers
In ΔVWX, w = 680 cm, ∠X=80° and ∠V=32°. Find the area of ΔVWX, to the nearest 10th of a square centimeter
Answers
Answer:
56
Step-by-step explanation:
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The area of the triangle.
= 1/2 x base x height
The area of the triangle is 105760 cm².
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
In ΔVWX.
w = 680 cm
∠X=80°
∠V=32°
This means,
∠W + ∠X + ∠V = 180
∠W = 180 - 112
∠W = 68°
This means,
68° = 680
1° = 10
Now,
∠X=80°
x = 800 cm
∠V=32°
v = 320 cm
Now,
V
/ | \
(x) / | \ (w)
/ | \
W M X
(v)
680² = VM² + (320/2)²
462400 = VM² + 25600
VM² = 436800
VM = 661 cm
Thus,
The area of the triangle.
= 1/2 x base x height
= 1/2 x 320 x 661
= 160 x 661
= 105760 cm²
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
6) The Delphi method used for forecasting: A) uses a single measure that weights multiple indicators and provides a measure of overall expectation. B) obtains forecasts through a comparative analysis with a previous situation. C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires. D) uses measures that are believed to influence the behavior of a variable that the researcher wishes to forecast.
Answers
Answer:
C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Systematic sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Opportunity or convenience sampling.
The Delphi method is a structured communication framework or technique that is typically used as an interactive forecasting method to arrive at a group decision or opinion by relying on the feedback from a panel of experts. The individual opinions of the panel of experts are modified to ensure anonymity and are mainly an unbiased exchange of ideas, so as to produce a convergence of opinions.
Hence, the Delphi method used for forecasting uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.
Enter an algebraic expression for the word expression.
The quotient of -5 and y
The expression is
Answers
9514 1404 393
Answer:
-5/y
Step-by-step explanation:
The wording "the quotient of A and B" is used to signify A/B.
Here, we want the quotient of -5 and y:
-5/y
A baker is experimenting with a new brand of yeast. He bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast. After baking both batches of bread, he compares the height, texture, and taste of each batch.
Answers
Answer:
control group: second batch
explanatory variable: new brand of yeast
response variable: height, texture, and taste
Step-by-step explanation:
Answer:
Explanatory variable = new brand of yeast
Response variable = height, texture, and taste
Control group = first batch
**See screenshot of graded answer
What are the solutions of x2 - 7x + 13 = 0 ? Imaginary numbers
Answers
Answer:
Step-by-step explanation:
I know what your thinking YOU DIDNT ANSWER!!!!! but think again i did, it is just an imaginary answer. dad jokeCRINGE!!!!!
Answer:
2 imaginary numbers
Step-by-step explanation:
x^2-7x+13=0
C=(-7)^2-4x1x13
D=-3
2 imaginary numbers
how many different ways can you find for 7 coins totaling 95 cents?
Answers
Answer:
one way
Step-by-step explanation:
2 quarters
4 dimes
1 nickel
Scott's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that
have a radius of 6 in. If copper costs $0.75 per in, how much will the copper cost to make one ball?
Use 3.14 for I, and do not round your answer.
Answers
Simplify the following fraction: 6/9
Answers
I WILL GIVE YOU 100 points and Braine at Math Properties of Equality, Part 2
For each expression, write an equivalent expression to show the
mathematical properties of equality.
Distributive Property:
6(m +4) = ?
Associative Property:
2 + (m + x) = ?
Commutative Property:
x + 3 = ?
Distributive Property:
3(2y - 6) = ?
Distributive Property:
m(y + 5) = ?
Answers
Answer:
1. 6(m + 4) = 6m + 24
2. 2 + (m + x) = (2 + m) + x
3. x + 3 = 3 + x
4. 3(2y - 6) = 6y - 18
5. m(y + 5) = my +5m
Step-by-step explanation:
1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.
2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.
3. The commutative property means terms can change in order, and you will still get the same result.
4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.
Let me know if you have questions.
Zander found these coins in his Couch
Answers
Answer:
91 cents
Step-by-step explanation:
3 quarters+3 nickel+1 penny=91 cents
Answer:
91 cents
Step-by-step explanation:
3 quarters=75c
3 nickels=15c
1 penny=1c
75c+15c+1c=91 cents
PLEASE!! trigonometry
A= 61 degrees a=5 cm b=12 cm
Answers
Answer:
problem is undefined meaning there is no triangle
5th grade math. Correct answer will be marked brainliest.
Answers
40 points! Please help me
Answers
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
2x+6=4x-10[corresponding angle]
16=2x
x=8
again
2×8+6+13y-24=180°[linear pair]
13y=180+2
y=182/13
y=14
Someone help I don’t understand
Answers
Answer:
2052
Step-by-step explanation:
19 times 18=342
342 times 6=2052
Which of the points labeled shows the solution to the system of equations? (A, B, C, D, or E)
Answers
Answer:
E
Step-by-step explanation:
When is comes to a system of equations, the point where the lines intercept is the answer.
please help MATHEMATICS
Answers
Answer:
area is 26.75 units^2
Step-by-step explanation:
Top Triangle area is (3.5*9)/2=15.75
Square area is 2*2=4
Left bottom triangle is (2*2)/2=2
bottom right triangle is (2*5)/2=5
15.75+4+2+5=26.75
https://cantonschools.instructure.com/courses/1278/discussion_topics/14354
Answers
Btw thanks for the points
What value of k makes the equation below true 33k=1,716
Answers
Answer:
Given:
33k=1,716
k=1716/33
k=52
find the measure of angle P
Answers
Answer:
i dont see the picture clearly
Step-by-step explanation:
PLSS HELP THIS IS DUE TODAY
Answers
Answer:[tex]\frac{1}{42}[/tex]
Step-by-step explanation:
1 out of 7 times 1 out of 6
[tex]\frac{1}{7} *\frac{1}{6} = \frac{1}{42}[/tex]