What is the area of the irregular polygon shown below?
6
6
4.1
6
6
10
A. 121.5 sq. units
B. 108 sq. units
C. 56 sq. units
O D. 216 sq. units
Answers
The area of the irregular polygon is 121.5 units squared.
How to find the area of an irregular polygon?
The irregular polygon can be divided into a rectangle and a pentagon.
Therefore, the area is the sum of the area of the pentagon and the rectangle.
Therefore,
area of the rectangle = 6 × 10 = 60 units²
area of the pentagon = 1/ 2 × perimeter × apothem
area of the pentagon = 1 / 2 × 30 × 4.1
area of the pentagon = 123 / 2
area of the pentagon = 61.5 units²
Therefore,
area of the irregular polygon = 61.5 + 60 = 121.5 units²
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Related Questions
Which type of stored energy is released when something burns?
O A. Chemical energy
O B. Nuclear energy
O c. Sound energy
O D. Electrical energy
Answers
Answer:
CHEMICAL ENERGYStep-by-step explanation:
HOPE THIS ANSWER WAS HELPFUL
MARK AS BRAINLIST PLEASE
IF THIS ANSWER WAS HELP TO YOU
THANKYOU!!
Answer:
Chemical energy
Step-by-step explanation:
did the quiz <3
the mathematical model y= 2/x is an example of what variation? Joint variation, inverse variation, indirect variation, linear variation, or direct variation?
Answers
Answer:
inverse variation
Step-by-step explanation:
Thiis is the model for inverse variation. As x increases, y decreases, and vice versa.
Typical example:; y = 5/x
round off 0.38569 to the nearest hundredths.
Answers
Hi.
The closest rounding of 0,38569 is 0,39
Have a nice day !
the average score on mid term examination of 25 students was 78.8 out 100
after the mid term exam, however, a student whose score was 41 out of 100 dropped the course. what is the average (mean) score amount of the 24 students?
Answers
draw the graph of y = 3 - 1/2x
Answers
Answer:
Hope this helps you.
7(x – 3) = 5(x+3)
Solve for x
Answers
Step-by-step explanation:
7x-21 = 5x +15
7x-5x = 15 + 21
2x = 36
x = 36/2
x = 18
Answer:
x=18
Step-by-step explanation:
Distribute 7 through the parentheses
7x-21=5(x+3)
Move the variable to the left -hand side and change its sign
7x-21-5x=15
Collect like terms
2x=15+21
divide both sides of the equation by 2
x=18
C=2(y-k) solve for y
Answers
Answer:
[tex] \blue{y = \dfrac{C + 2k}{2}} [/tex]
Step-by-step explanation:
[tex] C = 2(y - k) [/tex]
[tex] C = 2y - 2k [/tex]
[tex] C + 2k = 2y [/tex]
[tex] \dfrac{C + 2k}{2} = y [/tex]
[tex] y = \dfrac{C + 2k}{2} [/tex]
Melinda has several children and frequently marvels at how different each child is from one another. Jacob, her oldest son, took his first steps at 17 months whereas Clyde, her youngest son, took his first steps at 10.5 months old. Compare the number of months it took Clyde to take his first steps to the number of months it took Jacob using absolute and relative change.
Answers
Answer:
Using absolute change, Clyde took 6.5 less months to take his first steps than Jacob.
Using relative change, it took Clyde 38.24% less time than Jacob to take his first steps.
Step-by-step explanation:
Absolute change:
A number, that is, the difference between two measures.
Jacob: 17 months
Clyde: 10.5 months.
17 - 10.5 = 6.5
Using absolute change, Clyde took 6.5 less months to take his first steps than Jacob.
Relative change:
Absolute change multiplied by 100% and divided by the reference value. So
6.5*100%/17 = 38.24%
Using relative change, it took Clyde 38.24% less time than Jacob to take his first steps.
Please help it’s urgent and need this done
Answers
Answer:
x² - x - 2
Step-by-step explanation:
Since the curve cuts the x-axis at x = -1 and 2. The factors will be x+1 and x-2
Taking the product of the factors
f(x) = (x+1)(x-2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2
Hence the required function is x² - x - 2
The data set below provides the monthly rent (in dollars) paid by 5 tenants. 879 , 920 , 940 , 950 , 990 Suppose the rent for one of the tenants changes from $ 940 to $ 1115 . What is the mean before the rent changes? What is the mean after the rent changes?
Answers
Answer:
Mean before the rent changes = $935.8
Mean after the rent changes = $970.8
Step-by-step explanation:
Mean = sum of all data values / number of data values in a given data set
✔️Data set consisting of the rents of 5 tenants: 879 , 920 , 940 , 950 , 990
Mean before the rent changes = (879 + 920 + 940 + 950 + 990)/5 = 4,679/5 = 935.8
Mean before the rent changes = $935.8
✔️If one of the tenants rent changes from $940 to $1,115, the new data set would be:
879 , 920 , 1,115 , 950 , 990
Mean after the rent changes = (879 + 920 + 1,115 + 950 + 990)/5 = 4,854/5 = 970.8
Mean after the rent changes = $970.8
In a sale, Ali buys a television for $195.80.
The original price was $220.
Calculate the percentage reduction on the original price.
Answers
11%
Hope this helps! :)
______________
Answer:
[tex] \frac{195.80}{220} \times 100 \% \\ = 0.89\%[/tex]
Siti had $3249. After donating $1387 to charity, she had $237 less than Hazid. How much money did Hazid have?
Answers
Answer:
the answer is 2099
Step-by-step explanation:
after donating 1387 the money teft with her is 1862 adding to it 237 so the money with hair will be 2099
I need help with this.
Answers
9514 1404 393
Answer:
$400
Step-by-step explanation:
The word "per" in math often means "divided by". To find price per square foot, find price divided by square feet.
$700,000/(1750 ft²) = $400 /ft²
The price per square foot of House 4 was $400.
I need to know how to solve this completely not just the answers plz :)
Answers
US adults consume an average of 3,400 mg of sodium each day. We wanted to find out if a 5 minute health video would help people control their salt intake. After watching the video, the 36 participants in our study had a mean sodium intake of 3,200 mg with a standard deviation of 600 mg. What type of statistical test should we run to find out if there was a difference between our group and the general population
Answers
Answer:
a) Z Test(n>30)
b) [tex]t=2.028[/tex]
Step-by-step explanation:
Average [tex]A=3400[/tex]
Mean [tex]\=x=3200[/tex]
Sample size [tex]n=36[/tex]
Standard deviation [tex]\sigma=600mg[/tex]
Generally using the Z Test(n>30)
Generally the equation for Standard Error S.E is mathematically given by
[tex]S.E=\frac{600}{\sqrt{36}}[/tex]}
[tex]S.E=100[/tex]
Generally the equation for Z test is mathematically given by
[tex]Z=\frac{\=x-A}{\sigma\sqrt{n}}[/tex]
[tex]Z=\frac{3200-3400}{600\sqrt{36}}[/tex]
[tex]Z=-2[/tex]
From table
[tex]T critical= (Z,df)[/tex]
Where
[tex]df=n-1[/tex]
[tex]df=35[/tex]
Therefore
[tex]t=2.028[/tex]
Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rat how far did she go? Before you try that problem, answer the question below. How many minutes did Kayla drive in total? ] try
how far did she go in minutes???
Answers
Answer:
Kayla drove 45miles
Answer: She went 3/4 miles in a minute and 45 miles in an hour
Step-by-step explanation:
15 miles in 20 minutes so 45 miles in 1 hour or 60 minutes
Since 45 miles in 60 minutes, 3/4 miles in a minute
You and your family are planning a roadtrip. You determine that the distance you need to drive is 660 miles and that you can average 60 miles per hour for the entire trip. How many hours will your trip take?
Answers
Answer:
11 hours
Step-by-step explanation:
Find how many hours the trip will take by dividing the number of miles by the rate in miles per hour:
660/60
= 11
So, the trip will take 11 hours
Solve the equation by using the quadratic formula.
3 x squared minus 1 = 7 x
Answers
Answer:
b. [tex]\frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}[/tex]
Step-by-step explanation:
[tex]3x^{2} -1=7x[/tex]
Quadratic equations are suppose to be written as: [tex]ax^2+bx+c=0[/tex]
so the new quadratic equation for this problem will be: [tex]3x^{2} -1-7x=0[/tex]
Now rearrange the terms: [tex]3x^{2} -7x-1=0[/tex]
Then use the Quadratic Formula to Solve for the Quadratic Equation
Quadratic Formula = [tex]x=\frac{-b±}{} \frac{\sqrt{b^2-4ac} }{2a}[/tex]
Note: Ignore the A in the quadratic formula
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
[tex]3x^{2} -7x-1=0[/tex]
a = 3
b = -7
c = -1
[tex]x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]
Evaluate The Exponent
[tex]x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{49+12} }{2(3)}[/tex]
Add The Numbers
[tex]x=\frac{7±\sqrt{61} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{61} }{6}[/tex]
Find the sine and the cosine of 30^degrees
Answers
Answer:
Step-by-step explanation:
sine 30° = opposite / hypotenuse = 4/8 = 1/2
cosine 30° = adjacent / hypotenuse = 4sqrt(3) / 8 = sqrt(3) / 2
please help meeeeeeeee
pt 3
Answers
Answer:
1st option
Step-by-step explanation:
Given the zero product
(x - 3)(x + 5) = 0 , then
x - 3 = 0 ; x + 5 = 0
State whether the data described below are discrete or continuous and explain why?
The distance between cities in a certain contry.
a. The data are discrete because the data can only take on specific values.
b. The data are discrete because the data can take on any value in an interval.
c. The data are continuous because the data can take on any value in an interval.
d. The data are continuous because the data can only take on specific values.
Answers
Answer:
c. The data are continuous because the data can take on any value in an interval.
Step-by-step explanation:
Discrete data are those which can take up only specific values. Discrete data values may include the number of children in a particular school, the number of visitors received per day. All this values are specific and cannot just take up any number one f values within an interval. Continous data on the other hand can take up any number of data values between an interval. Continous data types are usually height temperature, length(distance data). There can be infinite number of possible data within interval values.
It is a beautiful day at the beach and ten beach volleyball players have shown up at the volleyball courts. Each two-person volleyball team should consist of a setter and a spiker. Five of the players prefer to be a spiker, four of the players prefer to be a setter, and one player is fine either way.
In how many ways can a two-person team be assembled such that no player feels out of position?
Answers
Answer:
4 i think
Step-by-step explanation:
Does anyone know the answer to this? Algebra 2
I have to find the answers to
Find cos 0
Find tan 0
Find csc 0
Find sec 0
Find cot 0
And what terminal of the angle falls in which quadrant? 1-4?
Answers
Answer:
Step-by-step explanation:
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
If, sinθ = -[tex]\frac{1}{2}[/tex] and π < θ < [tex]\frac{3\pi }{2}[/tex]
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = [tex]-\frac{\sqrt{3} }{2}[/tex]
tan(210°) = [tex]\frac{1}{\sqrt{3} }[/tex]
csc(210°) = [tex]-\frac{1}{2}[/tex]
sec(210°) = [tex]-\frac{2}{\sqrt{3} }[/tex]
cot(210°) = √3
HELP!!!! NUMBER 2
2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)
Answers
Answer:
1. 8
2 . 11
[tex]3 . \sqrt{128} \ or \ 8 \sqrt2[/tex]
Step-by-step explanation:
[tex]Distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 }[/tex]
1 . ( 5 , - 2 ) and ( 5 , 6 )
[tex]Distance = \sqrt{(5 -5)^2 + ( 6-(-2))^2} = \sqrt{ 0 + 8^2 } = \sqrt{64} = 8[/tex]
2 . ( 8 , 6 ) and ( - 3 , 6 )
[tex]Distance = \sqrt{( -3 -8)^2 + ( 6 - 6)^2 } = \sqrt{ (-11)^2 + 0 } = \sqrt { 121 } = 11[/tex]
3. ( 5 , - 2 ) and ( -3 , 6 )
[tex]Distance = \sqrt{(-3 - 5)^2 + ( 6 --2)^2} = \sqrt{(-8)^2 + ( 8)^2} = \sqrt{ 64 + 64 } = \sqrt{128}[/tex]
[tex][ \ \sqrt{128} = \sqrt{ 2 \times 64} = \sqrt{ 2 \times 8^2 } = 8 \sqrt{2} \ ][/tex]
A 300-lb gorilla climbs a tree to a height of 30 ft. Find the work done if the gorilla reaches that height in the following times.(a) 10 seconds w= _____ ft-lb (b) 5 seconds w= _____ ft-lb
Answers
Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:
[tex]W = Fd[/tex]
In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that [tex]F = 300, h = 30[/tex]
Thus
[tex]W = Fd = 300(30) = 9000[/tex]
The work done in both cases is of 9000 ft-lb, as the work is not a function of time.
HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!
Answers
Answer:
x = 22 degree
Step-by-step explanation:
40 + 5x + 30 = 180 degree (being linear pair)
5x + 70 = 180
5x = 180 - 70
x = 110/5
x = 22 degree
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
8 feet
Step-by-step explanation:
.................... ............ . ...
Answer:
8 ft
Step-by-step explanation:
Since 2 angles are given as congruent, the opposite sides are congruent.
The opposite sides of the congruent angles are 8 ft and L, so L = 8 ft.
Evaluate the function at the given values of x. Round to 4 decimal places, if necessary. =fx7x
Answers
Step-by-step explanation:
what are the given values of x ?
there is nothing visible.
and what is the function itself ? f(x) = 7x ?
it is not clear.
In the number 1326308 is between which two numbers in a million?
Answers
Answer:
1326308 is in between 1326307 and 1326309
ANSWER ASAP IM TIMED 30 POINTS
Which shape below will form a tessellation?
A. regular heptagons
B. regular pentagons
C. regular octagons
D. regular hexagons
Answers
Answer:
Step-by-step explanation:
D ANSWER D
Answer:
d
Step-by-step explanation: