Area of a polygon can be derived from sum of area of its sub-parts. The area of the considered polygon is given by: Option C: 316 cm²
Some polygon are of standard shapes like rectangle, triangle, parallelogram etc, but some are not standard and can be of any shape. For finding their area, we divide that non-standard polygon in parts such that it gets divided in standard polygons.
Then, we get:
Area of non-standard polygon = sum of all standard polygons forming that initial polygon.
For the given case, dividing the polygon in the shapes whose area we know(which is called here as standard polygons), as shown in the figure attached below, we get:
Area of polygon = Sum of area of those composing parts.
Area of polygon = Area of upper triangle ABC + Area of bottom rectangle BDEF
Height of ABC triangle = height of polygon - height of rectangle
Height of ABC = 18 - 14 = 4 cm
Base of ABC = length of BC = length of BD - length of CD = 21-10 = 11 cm
Thus, area of ABC = [tex]\dfrac{1}{2} \times base \times height = \dfrac{1}{2} \times 4 \times 11 = 22 \: \rm cm^2[/tex]
Area of rectangle BDEF = length times width = [tex]14 \times 21 = 294\: \rm cm^2[/tex]
Thus, area of polygon = Area of ABC + Area of BDEF = 22 + 294 cm²
Area of polygon = 316 cm² (option C)
Learn more about total area here:
https://brainly.com/question/15096475
Answer: 338 cm^2
Hope this helps! :)
Please mark me brainliest.
A reflection line is equidistant from a pre-image point and its image.
Therefore, in segment AA’, point M is the
Line segment A B is reflected across a line to form line segment A prime B prime. Points M and N are halfway between points A and A prime and B and B prime.
Answer:
Reflection Lines A reflection line is equidistant from a pre-image point and its image. [ Therefore, in segment AA , point M is the Midpoint.
Step-by-step explanation:
Found on weegy.
Answer:
midpoint
Step-by-step explanation:
If each value in a data set is multiplied by a constant k, what would happen to the standard deviation? A) The standard deviation would remain the same. B) The standard deviation would be multiplied by k. C) The standard deviation would decrease by k as well. D) There is not enough information to know what would happen.
Answer: B, it will be multiplied
Step-by-step explanation:
I just did the USATestprep
Can anyone help me with this
Answer:
(3, -6)
Step-by-step explanation:
Both equations are equal to y, so you can make them equal to each other:
-2x = 5x-21
Get the same terms on the same side by subtracting 5x from both sides"
-7x = -21
Get x alone by dividing both sides by -7:
x = 3
The simplest way to find y is by filling in 3 for x in the first equation:
y = -2(3)
Multiply:
y = -6
Check your answer by filling in 3 for x in the second equation:
y = 5(3) - 21
Multiply:
y = 15 - 21
Subtract:
y = -6
To check both answers together, fill in 3 for x and -6 for y in both equations (although we already checked both answers above):
-6 = -2(3)
-6 = -6
-6 = 5(3) - 21
-6 = 15 - 21
-6 = -6
Answer:
3,-6
Step-by-step explanation:
randalstown rubgy club play 20 matches and win 17 of the matches what percentage of the matches did randalstown win?
Answer:
85%
Step-by-step explanation:
Help me w/this quick plz :)
Answer:
[tex]3x + 5y \leqslant 108[/tex]
A cylinder has a radius that is 3 meters. Its volume is 95 cubic meters. Find its height to the nearest tenth of a meter. Use 3.14 for pi/ℼ in your calculation. Show all work and steps.
100 POINTS TO ANYONE WHO ANSWERS THIS RIGHT
Answer:
11.8 m:
Step-by-step explanation:
Volume = pi×r²×h
95 = pi×1.6²×h
h = 95/(pi×1.6²)
h = 11.8122809326
h = 11.8 m (nearest tenth)
Answer:
11.8 m:
Step-by-step explanation:
Volume = pi×r²×h
95 = pi×1.6²×h
h = 95/(pi×1.6²)
h = 11.8122809326
h = 11.8 m (nearest tenth)
Corey puts 6 items in each bag when bagging groceries. A customer buys no more than 72 items.
Send help please! I will give points !
.23 times 5 is 1.15
the answer would be she used 1.15 feet of ribbon
Answer:
1.15 feet of ribbon.Step-by-step explanation:
Given:
5 bracelets.23 required for eachGiven equation:
5 * 0.23Solve:
5 * 0.23= 5.00 * 0.23= 1.15.In total, Tanya used 1.15 feet of ribbon.
Add. Simplify your answer.
Step-by-step explanation:
Add the ones with like terms.
which means the ones with things in common.
4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.
(4/5 + 1/4)x^2
= (5+16/20)x^2
= (21/20)x^2
the next terms are those with x as common.
(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.
=(1/4 - 1/5)x
=(5 - 4/ 20)x
= (1/20)x
= (1 × x) / 20
= x/20.
last ones are the constant terms(numbers)
1/6 + 2/3
=12 + 3 / 18
= 15/18...we can simplify this one as well.
= 5 × 3 / 6 × 3
= 5/6.
Now write all the results as a one equation.
descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.
21/20x^2 + x/20+ 5/6.
Choose all the fractions that are in simplest form.
Choose all the fractions that are in simplest form. 4/26, 10/22, 8/21, 9/10, 6/19
Answer:
8/21
9/10
6/19
that cuz they are already in their simplest from or
,/,/,/,//,/,/,/,//,,,,,,///,,/,///,/,,/,,/,/,/,/,,
Answer :
hmmm ... :0 ?
Answer:
true
Step-by-step explanation:
A survey was conducted on a random sample of 100
middle school students regarding their favorite color
out of blue, red, or yellow. 33 students chose blue, 34
students chose red, and 33 students chose yellow.
Greg concluded that the students at the middle
school have a preference of the color red. Is his
inference correct? Why or why not?
Answer:
No, he is not correct because red and yellow got the same amount of votes when it came to adding them up.
Step-by-step explanation:
Answer:
he is because there is 34 beats 33 so 34 would win
Step-by-step explanation:
Is (x-4) a factor of (x3 +x2 -16x-16)?
SHOW FULL WORK
Answer:
f(x)= x^3+x^2-16x-16
By the factor theorem,
f(4)=4^3+4^2-(16×4)-16 =0
Since f(4)=0, (x-4) is a factor of x^3+x^2-16x-16
Step-by-step explanation:
Three sides of a quadrilateral are equal lengths. The length of the fourth side is 5 inches.
Answer:
A
Step-by-step explanation:
[tex] x + x + x + 5 = 26[/tex]
[tex]3x + 5 = 26[/tex]
Triangle proportionality lesson 4 homework
Answer:
https://brainly.com/question/26694904
Step-by-step explanation:
this question has f.r.e.e points, answer is saying yes pls
Answer:
5. x = 8
11. x = 57.6
13. x = 11
15. x = 5
Step-by-step explanation:
In each part, I set up a proportion and cross multiplied to solve.
5. 4/3 = 2x + 4/x + 7
x = 8
11. 25/30 = 48/x
x = 57.6
13. 32/2x + 6 = 60/52.5
x = 11
15. To find missing part: 35 - 20 = 15
20/7x - 11 = 15/4x - 2
x = 5
what temperature is 2°C higher than normal body temperature
[tex]it s \: fever \: [/tex]
We get fever when our body temperature reaches to 100° C and our normal body temperature is 98°C.
Can somebody please try answering this word problem! Even showing how you do it can be very helpful, thanks!!!
WILL MARK BRAINLIEST TO WHOEVER CAN ANSWER THIS QUICKLY AND CORRECTLY!!! :DDD
Answer:
I am not quite sure of the answer but probably
125 dollars
Step-by-step explanation:
375÷3
=125
Need help
Suppose we have collected data on fatal workplace injuries. The injuries could have resulted from the following causes: transportation, assault/violent acts, exposure to harmful substances, falls, contact with equipment, or fires/explosions. What type of graph could you use to represent the distribution of this data?
Histogram
Bar Graph
Pie Chart
- Some kind of combination of them
The Pie Chart is the best type of chart that could be used to represent the distribution of this data.
What is a Pie Chart?A pie chart is a type of circular statistical graph used for the representation of a data set. The graph's segments are proportionate to the percentage of the total in each group.
However, the proportion of each portion of the pie chart is proportional to the number of the group as a whole.
The full pie chart represents 100% of the whole, whereas The pie portion represents sections of the total.Therefore, from the given information contains many data sets, each data can be represented in each portion to make a full Pie Chart.
Learn more about Pie Chart here:
https://brainly.com/question/25796636
Raj purchased an article for Rs400 and sold it for Rs 420. Find the lrofit or loss percent
Given :-
Raj purchased an article for Rs420 .He sold it for Rs 420 .To Find :-
The profit or loss percentage .Solution :-
Here the cost price for Raj is Rs 400 and Selling price is Rs420 .
Here since SP > CP , so there's a profit .
→ Profit = SP - CP
→ Profit = Rs420 - Rs400
→ Profit = Rs 20
Now we can calculate the profit% as ,
→ Profit/CP * 100
→ Rs 20/ Rs 400 * 100 %
→ 20/4%
→ 5%
Hence the profit is 5% .
I hope this helps .
Answer:
5%Step-by-step explanation:
Cost price of the article = Rs 400
Selling price of the article = Rs 420
As, S.P > C.P
Profit = S.P – C.P
= Rs( 420 – 400)
⠀⠀⠀= Rs 20
So,
Profit percent = (20/400 × 100)%
⠀⠀⠀⠀⠀⠀⠀⠀ = (20/4) %
⠀⠀⠀⠀⠀⠀⠀⠀ = 5 %
Solve
19 = r - 1
Pls hurry!
Answer:
r = 20
Hope this helps!
Can anyone solve?
[tex] \sf{5x + x = ?}[/tex]
The sum of 5x and x as given in the question is 6x
Sum of expressionGiven the following expression
5x + x
We are to take the sum and this is given as:
5x + x = (x+x+x+x+x) + x
5x + x = 6x
Hence the sum of 5x and x as given in the question is 6x
Learn more on sum of function here: https://brainly.com/question/24205483
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer: 6.67
Step-by-step explanation:
Using the similarity theory, we get the equation
5/30 = BM/40
BM = 5*40/30 = 20/3 = 6.67
Answer number 2
Find the x-intercept and y-intercept
from the following linear equation:
-2x + 4y = -16
=
x - intercept ([?], 1)
y - intercept (1,1)
[]
Answer:
[tex] x\ intercept = (-8,0)\\\\ y\ intercept = (0,-4)[/tex]
Step-by-step explanation:
A equation is given and we need to find out the x and y intercept . The given equation is ,
[tex]\longrightarrow -2x + 4y =-16[/tex]
In order to find out the y intercept , substitute x = 0 in the given equation,as;
[tex] -2x + 4y =-16\\\\\longrightarrow -2(0)+4y =-16\\\\\longrightarrow 4y = -16\\\\\longrightarrow y =\dfrac{-16}{4}\\\\\longrightarrow y = -4 [/tex]
Again to find x intercept substitute y = 0 in the given equation, as ;
[tex]\longrightarrow -2x + 4y = -16 \\\\\longrightarrow -2x +4(0)=16\\\\\longrightarrow -2x = 16\\\\\longrightarrow x =\dfrac{16}{-2}\\\\\longrightarrow x =-8[/tex]
This is the required answer !
What does this graph mean?
Answer:
(150, 100) is the solution for the system of equations
Step-by-step explanation:
Without more context, I cannot give you an exact answer, but this graph shows the solution to a system of equations. When y is 100, x is 150.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Can sombody help me with this ?
Answer:
They flipped it over the X and the it was flipped over the Y
Step-by-step explanation:
please help with math
Answer:
240 cm²
Step-by-step explanation:
Split the shape into a trapezoid (top half) and a rectangle (bottom half).
Area of a rectangle = width x length
⇒ area = 6.5 x 20 = 130 cm²
[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]
(where a and b are the lengths of the base and top, and h is the height)
⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]
⇒ area = 110 cm²
Total area = area of rectangle + area of trapezoid
⇒ area = 130 + 110 = 240 cm²
For a project in his Geometry class, Nathaniel uses a mirror on the ground to measure the height of his school’s flagpole. He walks a distance of 7.95 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.15 meters to the other side of the mirror, until he can see the top of the flagpole clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.
The height of the flagpole to the nearest hundredth is 11.41 m
Similar shapesIn order to get the height of the flagpole, we will use the similarity theorem of shapes.
From the given diagram, we will have the expression
1.65/1.15 = x/7.95
Cross multiply
1.15x = 1.65 * 7.95
1.15x = 13.1175
x = 13.1175/1.15
x = 11.406
Hence the height of the flagpole to the nearest hundredth is 11.41 m
Learn more on similar shapes here: https://brainly.com/question/2644832
You can ride your bike around your block four times and the whole neighborhood four times in 16 minutes. You can ride your bike around your block eight times and the whole neighborhood once in 11 minutes. How long does it take you to ride around the neighborhood?
Answer:
3 minutes
Step-by-step explanation:
if it takes 3 minutes to ride around your neighborhood it would make all of these statements true, it would mean that it takes 1 minute to ride in your block.
i write a test in 2 days and i dont know how to find percentages can anyone help me
percentage is a ratio of a number or fraction to 100
percentage =per(every) + cent (100)
per cent = per 100
percentage calculation formula (%) = (part / whole ) ×100
percentage increase equation = 100 ×( final - initial) /initial
ex1 : 2% is 2 percent = 2/100 =2:100
ex2: 35% = 35/100
48% = 48/100
ex3 : find the following 10% of 25,000
step 1 : convert 10% into fraction = 10/100
step 2 : multiply the fraction with value = 10/100× 25,000
answer = 2,500
ex4 : what is 7% of 68m ?
step 1 : convert 7% into fraction = 7/100
step 2 : multiply the fraction with value = 7/100 × 68
answer = 4.76 m
ex5 : The original price of a shirt was $10. It was decreased to $5 . What is the percent decrease of the price of this shirt?
step 1 : find the amount decreased = $10–$5 =$5
step 2 : write as part / whole = $5 / $10 = $0.5
step 3 : multiply by 100 = 0.5 × 100 = 50%
ex6 : Mary has a monthly salary of $21,000. She spends $350 per month on food. What percent of her monthly salary does she spend on food?
step 1 : write as part /whole and multiply by 100
= ( 350 / 21000 ) ×100 = 1.7 %
ex6 : The price of a pair of shoes was decreased by 21% to $100. What was the original price of the trousers?
step 1 : write % as fraction = 21/100
original price = y
(y × 21/100 ) = amount decreased --------- 1
y - amount decreased = $100 -------------- 2
rearrange equation 2 as;
y - $100 = amount decreased -------------- 3
when you equate both equation 1 and 3 you should get the ans y = $ 126.58
ex6 : The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?
step 1 : part / whole = (120 - 100) / 120 = 0.17 = 17%
step 2 : part / whole = (100 - 80) / 100 = 0.20 = 20%
The part were the same in both cases but the whole was smaller in the second decrease.
ex7 : A family had dinner in a restaurant and paid $35 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner?
for food = $35
sale tax = 9.5/100 × 35 = $3.33
tip = 10 /100 × 35 = 3.5
total = $45.83
ex8 : Smith invested $5000 for two years. For the first year, the rate of interest was 7% and the second year it was 8.5%. How much interest did he earn at the end of the two year period?
Answer
Interest at the end of the first year
7/100 * 5000 = $350
Interest at the end of the second year
8.5/100 * (5000 + 350) = $454.75
Total interest at the end of the two year period is
$350 + $454.75 = $804.75
How many boxes of cereal can you buy with $9 if one box costs $3? in one step eqution
Answer:
3 Boxes
Step-by-step explanation:
$9/$3 = 3 Boxes
Hence, you can buy 3 Boxes
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