Answers
Given:
The figure of a polygon.
To find:
The area of the polygon.
Solution:
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
Area of trapezoid is
[tex]Area=\dfrac{1}{2}(a+b)h[/tex]
Where, a, b are bases and h is the height.
The area of the triangle with base 6 cm and height 8 cm is
[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]
[tex]A_1=24[/tex]
Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is
[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]
[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]
[tex]A_2=(9)(5)[/tex]
[tex]A_2=45[/tex]
Now, the total area of the polygon is
[tex]A=A_1+A_2[/tex]
[tex]A=24+45[/tex]
[tex]A=69[/tex]
Therefore, the area of the polygon is 69 sq. cm.
Related Questions
what is GST?
answer fast
Answers
Answer:
Goods Serivces Tax
Step-by-step explanation:
Riley collects rainwater in a large barrel that weighs 15 pounds. When there are 8 gallons of water in the barrel, the total weight is 73.8 pounds. When there is 20 gallons of water in the barrel, the total weight is 162 pounds. Write the equation that models this situation in slope intercept form.
Answers
179 pounds
Step-by-step explanation:
yan po makatulong po yan thank you
What two numbers multiply to -16 and add up to 0?
Answers
Answer:
-4 and 4
Step-by-step explanation:
Negative x Positive = Negative
-4 x 4 = -16
-4 + 4 = 0
NEED ASAP 7TH GRADE MATH
A scale drawing of a billboard uses the scale 4 cm :11 ft. The length of the billboard in the drawing is 15 cm. How long is the actual billboard?
Answers
Answer:
24.75 ft
Step-by-step explanation:
00:00
Choose Yes or No to tell if each pair of expressions is equivalent..
Answers
2. yes
3. no
4. yes
5. yes
CORRECT ME IF IM WRONG!!
Match each of the equations with their corresponding graph
Answers
What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Answers
Hey there!
The answer to your question is [tex]4x^2+2x-2[/tex]
Given:
[tex]x^2-3x+7[/tex] [tex]and[/tex] [tex]3x^2 +5x-9[/tex]
First, we can start by adding like terms. The following are like terms:
[tex]x^2[/tex] [tex]and[/tex] [tex]3x^2[/tex]
[tex]-3x[/tex] [tex]and[/tex] [tex]5x[/tex]
[tex]7[/tex] [tex]and[/tex] [tex]-9[/tex]
Now, we can add these pairs together, giving us:
[tex]4x^2[/tex]
[tex]2x[/tex]
[tex]-2[/tex]
Now, add all this together, and we get our answer as:
[tex]4x^2 + 2x - 2[/tex]
Have a terrificly amazing day!
Solve for x
Pls help I need this for study guide
Answers
Answer:
your study guide can be stuck up you know where :3
para hacer un postre Carolina necesita 8 ingredientes para el segundo postre necesita 6 ingredientes de los cuáles 4 también entran en el primer postre¿cuántos ingredientes diferente necesita para hacer los dos postre ?
Answers
Answer:
ocupa 10 ingredientes diferentes
Answer:
ocupa 10 ingredientes diferentes
Find the circumference of a circle with a radius of 12.5 mm.
Answers
Answer:
78.54
Step-by-step explanation:
first, you multiply 12.5 mm by 2 to find the diameter which gives you 25, then you multiply 25 by pi (3.14) and you get 78.54
The ratio of dogs to cats in the Bark and Meow Pet Center is 4:7. If there are 35 cats staying at the Bark and Meow Pet Center, how many dogs are staying at the pet center?
Answers
Answer:
20.
Step-by-step explanation:
5x7=35
5x4=20
Step-by-step explanation:
answer:20
good work :))
how to solve algebraic expressions
Answers
Amelia's account balance is $16. If she uses her debit card to buy a $32
shirt from the mall, what will the balance of her account be?
Answers
Answer:
-$16
Step-by-step explanation:
16-32=-16
Patricia has $425.82 in her checking account. How much does she have in her account after she makes a
deposit (puts money in) of $120.75 and a withdrawal (takes money out) of $185.90?
Answers
Answer:
360.67
Step-by-step explanation:
425.82+120.75-185.90=360.67
Simplify each expression by using the distributive property and combining like terms. 3 (2x - 4) - 4x
Answers
Given:
The expression is
[tex]3(2x-4)-4x[/tex]
To find:
The simplified form of the given expression by using the distributive property and combining like terms.
Solution:
We have,
[tex]3(2x-4)-4x[/tex]
Using the distributive property, we get
[tex]=3(2x)+3(-4)-4x[/tex]
[tex]=6x-12-4x[/tex]
On combining like terms, we get
[tex]=(6x-4x)-12[/tex]
[tex]=2x-12[/tex]
Therefore, the simplified form of the given expression is [tex]2x-12[/tex].
Which expression is equal to the expression below?
(7•2)^7
Answers
You want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.
Answers
Please help!!!!!!! Tyyy!!!!!!!!!
Answers
NEED HELP ASAP PLEASE HELP PROVIDE EVIDENCE HOW IT IS CORRECT
Answers
Answer:
1204 in²
Step-by-step explanation:
To find the area of a trapezoid, use the following formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First add the two bases together: 46 + 40 = 86. Now divide that by 2: 86/2 = 43. Now multiply this by the height (28): 43 x 28 = 1204. This is your area: 1204 in².
Hope it helps!
Answer:
1204
Step-by-step explanation:
1rst add the top numbers then divide it by 2. Then with the answer you have, multiply it by the height. Hope it helps! =D
I need help.. I can't figure it out
Answers
Answer:
136
Step-by-step explanation:
True or False: An equation to find Circumference is C = πr2
Answers
Answer:
False
Step-by-step explanation:
It's actually C=πd d is diameter or C=πr^2
Answer:
True
Step-by-step explanation: Calculate circumference from area
We are given the area, and by substitution we know that 13π = πr2. We divide out the π and are left with 13 = r2. We take the square root of r to find that r = √13. We find the circumference of the circle with the formula C = 2πr.
18 arrows
3 bows
162 arrows
? bows
Answers
x is a positive integer.
33 = x is a positive integer.
Work out the four possible values of x, writing your values in ascending order.
Answers
Answer:
Four possible values of x: 10, 3, 20, 31
Writing it in ascending order : 3, 10, 20, 31, 33
Step-by-step explanation:
Because x is a positive integers it means that x could be any number that goes from zero to infinity.
The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33.
What is an integer?An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer ; ....-2 , -1 , 0 , 1 , 2 , .....
Given the expression, 33/x
Now positive integers are whole numbers ( 1,2,3,...)
To 33/x be the whole number and x is also a positive integer.
33/1 = 33 (1,3 Positive integer)
33/3 = 11 (3,11 Positive integer)
33/11 = 3 (11,3 Positive integer)
33/33 = 1 (33,1 Positive integer)
Hence "The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33".
To learn more about integers,
brainly.com/question/1768254
#SPJ2
Given question is incorrect the correct question follows ;
33 / x is a positive integer. Work out the four possible values of x, writing your values in ascending order.
simplify -z + 17x ??
Answers
Answer:
Step-by-step explanation:
This expression has two terms. They have nothing in common, so we cannot factor. We could write it at 17x - z.
Was there more to this problem?
whoever answers first will get brainliest
Answers
Answer:
y = 2x + 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x50=100
2x30=60
100x2=200
please help me on this will give you brainliest!!
Answers
Answer:
The measure of angle 6 is 72.
The measure of angle 7 is 108.
Step-by-step explanation:
Corresponding angles are equal. So angle 1, 3, 5 and 7 are all equal.
If you look at angle 1 and 2, they are adjacent angles, so together they add up to 180. So if you subtract 108 from 180 you get 72... and we already established that all corresponding angles are equal, so if angle 2 is 72 degrees, we can conclude that angle 6 is as well.
2.5(4p-16) simplified
Answers
Answer:
10p-40 = 10(p-4) this is the answer of this question
Plz help!!
What is the value of x when f(x)=20? What does this mean in context?
Answers
Answer:
It means that x = 20
Step-by-step explanation:
The sum of two numbers is 51, the difference is 17. Find the numbers.
Answers
Answer:
Sum: 34 + 17 = 51
Difference: 34 - 17 = 17
Step-by-step explanation:
math
Answer:
34, 17
Step-by-step explanation:
We can first get the two equations x + y = 51 and x - y = 17 by calling the first number x and the second one y. Next, we can add y on both sides in the second equation to get that 17 + y = x. Now, since we know that 17 + y is equal to x, we can substitute 17 + y in for x in the first equation. We get that 2y + 17 = 51, and if we subtract by 17 on both sides and get that 2y = 34. This means that y is equal to 17, meaning that x is 34.
Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kayla’s number?
Answers
Answer:
414
Step-by-step explanation:
414 divided by 18 is 23
414 is a palindrome
414 is one less than 5