Answers
Answer:
The area of the polygon is 624.5 square feet.
Step-by-step explanation:
The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:
[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)
Where:
[tex]A_{I}[/tex] - Area of the big triangle, in square feet.
[tex]A_{II}[/tex] - Area of the small triangle, in square feet.
[tex]A_{III}[/tex] - Area of the rectangle, in square feet.
Then, we expand the formula by using all dimensions presented in the image attached:
[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]
[tex]A = 624.5\,ft^{2}[/tex]
The area of the polygon is 624.5 square feet.
Related Questions
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
Find the volume of the given figure.
Answers
or
365 1/2 cm sq
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
256 miles
Step-by-step explanation:
The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side
To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)
so √377² - 277² = 255.7342371
Answer to number 22
Answer: 256 miles
help me please???????
Answers
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.
Hope this helps ^-^
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.
Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answers
4+10=14
462/14=33
33x4=132
so your answer would be 132 ;)
brainleist
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
whats the distributive property
Answers
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:
Please help, i dont understand this
Answers
Answer:
lgma
Step-by-step explanation:
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
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Solve for x. Round answer to the nearest tenth.
17
54°
х
Answers
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
Gina bought a thumbdrive and 12 writting pads for $13y . Each writting pad cost$2 Find the cost of the thumbdrive
Answers
Answer:
its 24 since each one cost 2$
Will give brainlist! And 20 points!
factor 12x^3y completely
Answers
Answer:
I don't think 2x^3y cannot be factorised
At the school pay students can attend for only $7, but for aduts it costs $10
Answers
Answer:
question? I don't understand
Answer:
7s + 10a
Step-by-step explanation:
I don't see a question so I just answered with a formula...
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.
Answers
Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
I need help with this assignment please
Answers
is a negative number to the seventh power negative
Answers
7 is an odd number since it can't be divided evenly by 2.
A negative number taken to an odd power will always be negative.
For example, -1⁵ is -1 because 5 is an odd number.
what two numbers multiply to 36 and add to -20
Answers
Answer:
Those numbers are -18 and -2
Explanation:
(-18)*(-2)=36
-18+(-2)=-18-2=-20
Answer:
x*y=36
x+y=-20
so it would be -18 and -2, :)
Step-by-step explanation:
Simplify (-12x+(-13))-(10x+(-12))
Answers
Answer:
-22x - 1
Step-by-step explanation:
(-12x+(-13)) - (10x+(-12))
(-12x-13) - (10x-12) Take away the plus sign since addition of a negative is the same as subtraction.
(-12x-10x) + (-13+12) Put like terms together.
-22x - 1 Simplify
Answer:the answer is -22x-1 hope that helps
Step-by-step explanation:
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
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
which digit in 123.45 is in the tenths place
Answers
Answer:
4. But if u meant like rounding it would be 123.5
Step-by-step explanation:
At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?
Answers
Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
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].
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:
Which expression can be used to find the volume of this box 3ft 7ft 5ft? A: 35 + 3 B: 35 x 3 C: (7 + 5) x 3 D :7 + 5 + 3 E: 35 + 35 +35
Answers
Answer:
(35 * 3)
Step-by-step explanation:
Given the box with dimension : 3ft * 7ft * 5ft
The volume of the box is :
Length * width * height
(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³
From the options given, the expression which could be used to correctly find the volume would be :
(7 * 5) * 3 = 35 * 3 = 105 ft³
There are 56 marbles in a bin and 25% of the marbles are red. How many red marbles are in the bin?
Answers
Answer:
14
Step-by-step explanation:
25 percent of 56 is 14
Step-by-step explanation:
100%=56
1%=56÷100=0.56
25%=0.56×25=14