Each figure below is made up of congruent
trapezoids. Find the area of the figure.
Answers
Answer:
the area of trapizoid is 54 and all togather will be 108
Answer:
108 cm^2
Step-by-step explanation:
The formula for calculating the area of a trapezoid is (a+b)*h/2, a and b being the bases and h being the height.
Since the height of the figure is 12 cm, the height of each trapezoid is 12/2 = 6 cm because the trapezoids are congruent.
With this information we can calculate each trapezoid's area: (base 1 + base 2)*height / 2 = (6+12)*6/2 = 18*3 = 54 cm^2.
We know the area of one trapezoid is 54 cm^2, so two trapezoids would have an area of 108 cm^2 (the figure is composed of two trapezoids).
Related Questions
75 points i need help
Part D
Wendell plans to paint the doghouse after it’s built. He wants to know what the surface area of the outside of the doghouse will be. To find the surface area, first break up any composite shapes into rectangles and triangles. Which shape is considered a composite shape? When the shape is decomposed, what are the dimensions of the resulting shapes necessary for finding surface area?
Part E
Using the results from part D and the dimensions of the other surfaces, find the surface area of the outside of the doghouse. Be sure to include the bottom surface in your calculation.
Answers
The total surface area of doghouse is 5052 sq. inch and total volume of doghouse is 16200 cubic inch
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
In the given question, we have to find which shape is considered a composite shape and when the shape is decomposed, then the dimensions of the resulting shapes necessary for finding surface area.
The graph of the given question is:
The slice will be shaped in the manner shown by the red-lined pentagonal shape A. The slice will have the red-lined shape, which is a rectangle as indicated B.
The slice will have the red-lined shape, which is a rectangle as shown in C. Only the Pentagon, which is made up of a triangle and a rectangle as seen in D, is a composite shape in the image.
In the given shape the dimensions of triangle is 18 inch, 18 inch, 30 inch.
The dimensions of rectangle is 18 inch, 30 inch.
7 rectangles and 2 triangles are the total number of decomposed shapes.
Total Area of above rectangles = 36x18 + 36x18 + 36x18 + 36x18 + 30x36
Total Area of above rectangles = 2592 + 1080 sq. inch
Total Area of above rectangles = 3672 sq. inch
Area of decomposed rectangles = 30 x 18 +30x 18
Area of decomposed rectangles = 1080 sq. inch
Area of triangles = 0.5 x 10 x 30 + 0.5 x 10 x 30
Area of triangles = 300 sq. inch
Total surface area = 3672 + 1080 + 300
Total surface area = 5052 sq. inch
Total volume = Total volume of cuboid + Total volume of upper triangular region
Total volume of cuboid = 30 x 36 x 18
Total volume of cuboid = 10800 cubic inch
Total volume of upper triangular region = 0.5 x 30 x 10 x 36
Total volume of upper triangular region = 5400 cubic inch
Total volume = 10800 cubic inch + 5400 cubic inch
Total volume = 16200 cubic inch
To learn more about total volume link is here
brainly.com/question/8419462
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Which expression is equivalent to y ● 48 ?
Answers
Answer:
C
Step-by-step explanation:
Let's say y=5
(5*40)+(5*8)
200+40=240
48*5=240
Option C is true because y*40 in the first parenthesis is equal to 40y, and y*8 in the second set of parenthesis is equal to 8y. When combined, the sum is 48y; therefore equivalent to the provided expression of y*48.
WILL GIVE BRAINLIEST find vertex of parabola y=x^2-x
Answers
Answer:
[tex](\frac{1}{2},-\frac{1}{4})[/tex]
How much is 11 5 cents equal?
how much is 7 one dimes equal?
Answers
Answer:
11 x 5 cents is 55 cents
55 cents is equal to:
0.55 dollars
5.5 dimes
or 11 nickles
1 dime = 10 cents.
Since you have 7, you have a total of 70 cents.
70 cents is equal to:
0.7 dollars
or 14 nickles
In total you have:
1.25 dollars or
1 dollar and 25 cents.
4 shirts cost $42. How much does 1 shirt cost?
50 pointss
Answers
So in this case 1 shirt would cost $10.50
Answer:
that d be $10.5
Step-by-step explanation:
...........
PLEASE HELP LOOK AT THE PIC
Answers
Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?
Answers
The sixth term of a sequence is 5. The tenth term is 7.
Which of these position-to-term rules is correct one for the sequence?
A.Term=position number -1
B.Term=2xposition number-7
C.Term=1/2xposition number+2
D.Term=1/6xposition number+4
Answers
u(n)=n-1
u(6)=6-1= True
u(10)=10-1≠7 False
A is eliminated.B:u(n)=2n-7
u(6)=2(6)-7=12-7=5 True
u(10)=2(10)-7=20-7≠7 False
B is eliminated.C:u(n)=0.5n+2
u(6)=0.5(6)+2=3+2=5 True
u(10)=0.5(10)+2=5+2=7 True
C is your answer.Check D although we know it's C:u(n)=n/6 +4
u(6)=6/6 +4=1+4=5 True
u(10)=10/6 +4=2.5+4=6.5≠7 False
Are they correct? Why or why not? answer correctly thank you 10 points.
Answers
Answer:
No.
Step-by-step explanation:
the system of equations provided in the condition consists of two linear equations in slope-interception form. The slope of the 1st equation is equal to the slope of 2d equation. It means, the lines are parallel. In other words, no solution of this system, they are not correct.
Answer: no.
Each day, Martina records the number of news articles she reads. Here are her results for the last nine days.
Answers
Answer:
martin
Step-by-step explanation:
Explanation: the range is the difference between the highest value in a set by the lowest, in this case 8-1
Answer (mode): 6
Explanation: the mode is the value that appears most frequently in a data set, in this case it is 6 because it appears 5 times in this set
an experiment consist of rolling a fair number cube once. Identify P(>6).
Answers
Answer:
1/6 is your answer
Step-by-step explanation:
ASAP I need help again
Answers
Answer:
your answer is 12 inches hon!
Step-by-step explanation:
if we divide 864 by 6 we get 144 and the square root of 144 is 12!
Answer:
12
Step-by-step explanation:
volume of a cube = 6 × (length of edge)^2
let the length = X
hence,
6X^2 = 864
X = 12
Help Study Island Is out to get me!!!
Can anyone help me?
The line shown has a slope of between point J and point L and between point R and point T.
Which of the following best describes triangle JKL and triangle RST?
A.
The length of JL is equal to the length of RT.
B.
The length of JK is equal to the length of RS.
C.
Triangle JKL is similar to triangle RST.
D.
Triangle JKL is congruent to triangle RST.
Answers
Answer:
The correct answer would most likly be C. Triangle JKL is similar to triangle RST.
Step-by-step explanation:
In the question, we see that triangles JKL and RST have the same slope at lines JL and RT. Triangles with equal slopes are not necessarily congruent; however, it means that they are similar. Therefore , Triangles JKL and RST are similar
Thanks Have a good day!
Answer:
C triangle JKL is similar to triangle RST.
Step-by-step explanation:
hope this helped
A kilometer is about 0.62 miles. Which student provides the best estimate to convert 3 kilometers to miles?
Goscia. 0.62 is about 0.60. 3 times 0.60 equals 1.80. Imani. 0.62 is about 0.60. 3 plus 0.60 equals 3.60. Rowan. 3 kilometers is close to 10 kilometers. 10 times 0.62 equals 6.20. Therese. 3 kilometers is close to 10 kilometers. 10 plus 0.62 equals 10.62.
Goscia
Imani
Rowan
Therese
Answers
Answer:
Goscia
Step-by-step explanation:
The most accurate one is Goscia, it's closest to the answer.
Assume one kilometer is equal to x and 0.62:
x = 0.62
3 kilometers would be equal to what? Well, 3 * 1 kilometers or 3 * x = 3.0.62 = 1.86. The closest answer to this is Goscia's.
Find the Surface Area of the prism pleese
Answers
Hope this helps!
please help me with math
Answers
Answer:
The first one is 280 The second is all of the above
Step-by-step explanation:
2. You first divide the larger group by the smaller group to find the ratio
700 ÷ 40 = 17.5
Now you multiply the ammount of patients who responded with 8 when there were 40 asked, by the ammount you multiply 40 by to get to 700
16 × 17.5 = 280
The amount of people expected to respond with 8 hours when there is a sample size of 700 is 280 people.
3. All of these examples represent two sets of related data whose change is being compared over a set amount of time.
Hope this was helpful!
Whats your favorite math problem?
Answers
Use integration by parts.
What is the volume of this triangular pyramid?
help please!!!
Answers
Answer:
I believe it is 6
Step-by-step explanation:
The formula is length times width times height.
Mike -(a boy) -and Kate -(a girl) -are -siblings. Mike- has -as -many -brothers -as -sisters. Kate -has -twice -as -many -brothers -as -sisters. How- many -girls,- counting- the- children- only -are -in -the -family? - Please answer!!
I will mark brainliest
Answers
Mike has 3 brothers and 3 sisters
Kate has 4 brothers and 2 sisters
all the girls in the family are 3
hope it helps...!!!
So Kate has to have at least three brothers because mike has the same amount of sisters as brothers and Kate is an extra sister,
So mike has three sisters and Kate has two sisters because she is a sister and two times two is four, so mike has three brothers, but there fr four boys in total
So Kate has two sisters and four brothers (mikes brothers+1)
Mike has three brothers and three sisters (Kate’s sisters plus one)
FINAL ANSWER: 4 brothers and 3 sisters
Rewrite the fractions in their simplest form.
and 18/24
Answers
Answer:
63/70 is simplified to 9/10 in fraction form and 0.9 in decimal form.
14/30 is simplified to 7/15 in fraction form and 0.46 in decimal form.
24/36 is simplified to 2/3 in fraction form and 0.6 in decimal form.
10/50 is simplified to 1/5 in fraction form and 0.2 in decimal form.
40/56 is simplified to 5/7 in fraction form and 0.714285 in decimal form.
18/24 is simplified to 3/4 in fraction form and 0.75 in decimal form.
You can simplify these and future questions by cancelling out the numerator's and denominator's LCF (Least Common Factor). I hope this helps!
10/50 = 1/5
24/36 = 2/3
40/56 = 5/7
14/30 = 7/15
18/24 = 3/4
The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced three times. Write the voltage in exponential form, what was the original voltage in the circuit?
Answers
I belive this is the answer
x³ = 27/125; and
x = 3/5.
explanation:
Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us
x³.
The current voltage is 27/125; this gives us the equation
x³ = 27/125.
To solve this, take the cubed root of both sides:
∛(x³) = ∛(27/125)
x = (∛27)/(∛125)
x = (∛(3*3*3))/(∛(5*5*5))
x = 3/5
HELP WITH THIS QUESTION!
Answers
Answer:
12
Step-by-step explanation:
move 1 over form the 13 to the 11.
Please help me!! Due in a few minutes!! Please!!!!
Answers
Answer:
I am guessing 0.36%
Step-by-step explanation:
9 divided by 4
What is 3.45 as a percent and a mixed number?
Answers
Answer:
the answer that 3.45 should be as a percent should be 345% because you mutliply 3.45 times 100 getting an answer of 345% and if you want to convert into a mixed number the percent 3 45/100 or simplified to 3 9/20 so hopefully that is the correct answer.
Step-by-step explanation: :DDDDDD hope this helps and mark me brainliest please.
Which ordered pair is a solution of the equation shown?
25 points
Answers
Answer:
4y-2 / 3
Step-by-step explanation:
set x to zero to get y=3/4(0) +1/2
multiply 3/4 and 0 to get y=1/2
so the x value is 0 and the y value is 1/2
the ordered pair would be (0, 1/2)
there’s others but this is probably the easiest one to find
hope this helped!!
Which of the following would be considered as an event (left spinner, right spinner) that's a member of the sample space for Trevor's spins.
options:
(2, 2)
(3, 4)
(7, 1)
(2, 5)
Answers
none of the others are possible
Can someone please help?
Answers
Answer:
its 1,3 then 2,1 then 3,4 then 4,2
Step-by-step explanation:
Ms. Johnson adds 2 cubes of suger to a 6 ounce cup of tea. Ms. Huáng adds 3 cubes of sugar to a 9 ounce cup of tea. which statement is true?
Answers
the answer is c because the fractions are both equal to one another.
Answer the question below
Answers
Simple interest formula:
Total = start value x (1 + rate x time)
Total = 600 x (1 + 0.12 x 6)
Total = $643.20
answer: B. $643.20
mr king is considering a new job. he and his wife sit down and create a list of their monthly expenses, as shown below. which of the following annual salaries will meet his standard of living
Answers
Answer:
you didn't include a picture.
Step-by-step explanation:
if you want to include a picture I can try to help you