What is the area of the figure below?
3 in.
3 in.
5 in.
5 in.
3 in.
3 in.
7 in.
Answers
Answer:
68 inches squared
Step-by-step explanation:
First, let's find the area of the squares at the top and bottom. Area for a square is:
L * W = A
Plug in the values...
3 * 3 = 9
Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:
7 (total width) - 3 (middle width) / 2 (because there are two sides)
So it is:
(7 - 3)/2
4/2 = 2
So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:
(B * H)/2 = A
Fill it in...
(2 * 5)/2
10/2 = 5 inches
So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:
5 * 4 = 20 inches
That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...
L * W = A
10 * 3 = 30
So, that means that the area of the hexagon is:
30 + 20 = 50
Plus, the two squares from the beginning:
50 + 18 = 68 inches squared
Therefore, the area of the figure is 68 inches. Hope this helps you!
Related Questions
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
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Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Someone help me I need to get this finished by tomorrow ASAP
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whats the distributive property
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Answer:
5n + 5a
Step-by-step explanation:
This would be your simplified algebra expression.
Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
What is the equation of the line that has a slope of 0 and passes through the point (6, -8)?
Answers
Answer:
your answer will be J. Y=-8
Step-by-step explanation:
Y=mx+b (6, -8)
(-8)= 0(6) +b
(-8)= 0+b
(-8)= b
Y=0(6)-8
y=-8
If anyone is really good at math please hmu ASAP.
Answers
Answer:
Same I'll help you all if you guys try to help me with my recent question.
Step-by-step explanation:
Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Heather says that she has enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches. Do you agree?
Answers
Answer:
Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Step-by-step explanation:
First, we will calculate the area of the piece of wood Heather has
Area (A) = Length (l) × Width (w)
From the question, l = 14 inches and w = 13 inches
A = 14 inches × 13 inches
A = 182 squares inches
Hence, the area of the piece of wood is 182 square inches
Now, we will calculate the total surface area of the box she desires to make
Area (A) of a box is given by
A = 2lw + 2lh + 2wh
Where l is the length
w is the width and
h is the height
She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.
i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches
∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)
A = 84.5 + 39 + 39
A = 162.5 square inches
Hence, the area of the box she wants to make is 162.5 square inches
Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Answer:
Yes
Step-by-step explanation:
2. What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Answers
Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?
Answers
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Plzzzz help!!!!!!!!!! ASAP
Answers
What are the degree and leading coefficient of the polynomial?
Answers
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9
GIVING BRAINLIEST
Study the function below and then answer the
questions that follow.
f(x)=
-x-2 x<-2 -x^2 -2=0
Answers
Answer:
Step-by-step explanation:
Answer:
B then A
Step-by-step explanation:
Domain is B, range is A.
$17.40 is 120% of what price?
Answers
Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10
Answers
Answer:
Step-by-step explanation:
10/10 cause everyone is
Answer:
AA by isaiah rashad
Step-by-step explanation:
good song
Hello! Please help! (directions on the image) :D
Answers
Math Journal Brian says that the expressions 2(x + 2) and 3(x + 1) + 1 are
equivalent because they name the same value when x = 0. Is Brian's reasoning
correct? Explain.
PLEASE HURRY
Answers
Step-by-step explanation:
if 2(0+2)=0+4=4 Answer
3(0+1)+1=(0+3)+1=4 Answer
hope it helps
p + -35 = 25 what would be p
Answers
Answer: p=60
Step-by-step explanation: Hope this help :D
Jim’s father is older than 40 but younger than 50
Answers
Answer:
Is it 41, 42, 43, 44, 45, 46, 47, 48 or 49?
Answer:
its clearly 77
Factoriza la diferencia de cubos
1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³
Answers
Answer:
The first one will be equal 2
Because
[tex] \frac{ - 64}{8} = - 8[/tex]
[tex]x ^{3} = 8 \\ [/tex]
[tex] \sqrt[3]{ - 8} = - 2[/tex]
Oh sorry i read the question wrongly i thought you wanted the value of x
Step-by-step explanation:
main formula used
a³-b³=(a-b)(a²+ab+b²)
Convert radians to degrees
Show all the work
6. 3.8 radians
8. 5π/4(this is a fraction)
Answers
Answer:
Below in bold.
Step-by-step explanation:
Degrees = radians * 180/π.
6. 3.8 radians = 3.8 * 180 / π
= 217.7 degrees to nearest hundredth.
8. 5π/4 radians = 5π/4 * 180/π
= 5*180/4
= 225 degrees.
Unit 8 7th grade math
Answers
First you add all the number then you divide by the amount of numbers
What is all that is equivalent to 5x+(x+6)+3x
Answers
Answer:
9x+6
Step-by-step explanation:
I think by equivalent, you mean solve it.
5x+(x+6)+3x
5x+x+6+3x, open the parenthesis
9x+6, add up the like terms
One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?
Answers
The smaller number is 3. The number 3 squared is 9, plus the other number 5 squared, which is 25. when you add them, you get 34
Step-by-step explanation:
x = first number
y = second number
a. x+2 = y
b. x^2 + y^2 = 34
Replace y from equation a into equation b:
x^2 + (x+2)^2 = 34
Expand it
x^2 + x^2 + 4x + 4 = 34
2*x^2 + 4x = 30
2x^2 + 4x - 30=0
solving x:
x = -5 and x =3 , it says it is a positive number, then it is x is 3
and the second number, y = x + 2
y = 5
Lets test it!
3^2 + 5^ 2 = 9 + 25 = 34
A clothing store is having a one
day sale offering 20% off all
merchandise. If Claudia spends
$99.84 on the day of the sale,
excluding sales tax, what would the
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Answers
o saw this question om edge its b
What is the solution to this system of equations?
Answers
Answer:
(-2,2)
Step-by-step explanation:
Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.
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Help me
Answers
Answer:
15 + 2=
17
Step-by-step explanation:
Answer: 3 x 2 + 13 x - 10
Step-by-step explanation:
:)
Will give brainlist! And 20 points!
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Answers
Answer:
I don't think 2x^3y cannot be factorised
A square piece of plastic has sides that are 8 centimeters long. What is the piece of plastic's area?
Answers
Answer:
64 [tex]cm^{2}[/tex]
Step-by-step explanation:
l x w = area
8 x 8 = 64
the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
Answers
Answer:
equation: y=15x+95
it would cost $1250
Answer:
f(x) = 95 + 15x
Cost for 77 people = $1250
Step-by-step explanation:
15 x 77 = 1155
1155 + 95 = 1250
To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.
Answers
Answer:8x5=10-x
Step-by-step explanation: