The base and altitude of the triangular plot are [tex]42m[/tex] and [tex]21m[/tex] respectively.
The perimeter of the square plot having the same area as the triangular plot is [tex]84m[/tex]
a) Calculate the base and altitude of the triangular plot
The relationship between the Total cost of leveling the triangular plot, the cost per unit area, and the area of the triangular plot is
[tex]\text{unit cost}=\frac{\text{total cost}}{\text{area}}\\\\\text{area}=\frac{\text{total cost}}{\text{unit cost}}\\\\=\frac{\text{11025Rs.}\rupee}{25Rs./m^2}=441m^2[/tex]
The formula for calculating the area of a triangle, given the base and altitude is
[tex]\text{area of triangle}=\frac{1}{2}\text{base}\times\text{altitude}[/tex]
From the question
[tex]\text{base}=2\times\text{altitude}[/tex]
so
[tex]\text{area of triangle}=\frac{1}{2}\times 2\times\text{altitude}\times\text{altitude}\\\\\text{area of triangle}=\text{altitude}^2\\441=\text{altitude}^2\\\text{altitude}=\sqrt{441}=21m[/tex]
from this we can get the base
[tex]\text{base}=2\times\text{altitude}\\=2\times21m=42m[/tex]
b) Calculate the perimeter of a square plot having the same area
Since we found the area of the triangular plot to be [tex]441m^2[/tex], we will use this value for the area of the square plot, so that we can obtain the side
[tex]\text{area of square plot}=side^2\\441=side^2\\\sqrt{441}=side=21m[/tex]
Hence, the perimeter is equal to
[tex]perimeter=4\times side\\=4\times21=84m[/tex]
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PLZ HELP!!!!!!!!
Function 1 is defined by the equation y=-1/4r-5 Function 2 is defined by line p.shown on the following graph. Which function has a more negative slope?
A. Function 1
B. Function 2
C. The functions have the same slope.
Answer:
Function 1
Step-by-step explanation:
I got it correct on khan academy
The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.
Let the two coordinate on the line p of the function 2 on the graph.
( x₁ , y₁ ) = (-4, -6)
(x₂ , y₂ ) = ( 4 ,-8 )
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula we get,
Slope of line p = ( -8 + 6 ) / ( 4 + 4 )
= -2/8
= -1/4
Slope of the function 1
y = -(1/4)r -5
When r = 8 ⇒ y = -7
r = -8 ⇒ y = -3
( x₁ , y₁ ) = (8, -7)
(x₂ , y₂ ) = ( -8 ,-3 )
Slope of the function 1 = ( -3 + 7 ) / ( -8 - 8 )
= 4/ -16
= -1/4
Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.
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Estimate the product. Round each factor to the nearest whole number, and then multiply.
0.9 × 1.084
0.10 x 2.000 = 0.2
0.9 = 0.10
1.084=2.000
The equation and graph show the cost to rent movies
from two different companies. The cost is a function of
the number of movies rented.
Which description best compares the two functions?
Answer:
Hello! Your answer should be there is a higher rate of change at Company 1.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
HELLPPPPPP ASAP PLEASE
Answer:
the answer is A
Step-by-step explanation:
Choose the equations that are not linear equations.
X/2 -y*3 = 1
O - x-y= 2.
x2 + y=4
x= 5
Answer:
#2 and #4
Step-by-step explanation:
Anything with a variable squared is not linear
A tree is broken at a height of 9m from the ground and its top touches the ground at distance of 12m from the base of the tree. Find the original height of the tree.
Answer: i took the test its number 555555
Step-by-step explanation:
four ninths minus four tenths equals blank ?
Answer:
2/45
Step-by-step explanation:
please help i dont understand
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?
The number of hardback books that are on the bookshelf is 29 books.
Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.Given the following data:
Total number of books = 36 booksTo determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
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97 term of-5,-23,-41
Answer:
-1147
Step-by-step explanation:
Answer:
-1733
Step-by-step explanation:
-5-96*18 = -1733
Which list below shows a way in which a 13-foot piece of pipe can be cut, to create 3 pieces that will form a triangle?
1 ft, 3 ft, 9 ft
3 ft, 3 ft, 7 ft
2 ft, 3 ft, 8 ft
2 ft, 5 ft, 6 ft
Answer:
2 5 and 6
Step-by-step explanation:
Any 2 sides have to add to more than the 3rd side.
PLS ANSWER AS SOON AS POSSIBLE AND I WILL MARK U AS BRAINLIST
Answer:
3
Step-by-step explanation:
Substitute the possible answers.
All you need is on the photo
Please don't answer randomly if you answer randomly you are gonna lose points
Answer:
no since the ratios of the corresponding sides are not proportional
what is twenty-five hundred-thousandths in decimal form
Answer:
5.620
Step-by-step explanation:
I hope this helps you
Answer:
0.00025
Step-by-step explanation:
Here is a example
Read the word problem below.
Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current?
Answer:
1 3/5 miles/hr
Step-by-step explanation:
Let C be the speed of the current
Let D be the distance between Chan's house and the park
We know that Distance, D, is = Speed x Time
-----
Chan's speed going upstream is (8 - C)mph.
That gives us:
D = (8-C)(3 hr)
Chan's speed going downstream is (8+C)mph
So we have:
D = (8+C)(2 hr)
We know that the d is the same for these two equations, so:
(8-C)(3 hr) = (8+C)(2 hr)
24 - 3C = 16 + 2C
5C = 8
C = (8/5) or 1 3/5 mph
Answer:
1.6 mph
Step-by-step explanation:
Distance, speed, and time are related by ...
distance = speed × time
We assume that the distances up and back are the same, so for a current speed of c, we have ...
3(8 -c) = 2(8 +c)
24 -3c = 16 +2c . . . eliminate parentheses
8 = 5c . . . . . . . . . . add 3c-16 to both sides
c = 8/5 = 1.6 . . . . . divide by 5
The speed of the current is 1.6 miles per hour.
rút gọn (x-4) (x-3) -x(x+5) +82
Answer:
-12x + 94
Step-by-step explanation:
Simplify:
[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x^2-5x+82[/tex]
[tex]=x^2-x^2-7x-5x+12+82[/tex]
[tex]=-7x-5x+12+82[/tex]
[tex]=-7x-5x+94[/tex]
[tex]=-12x+94[/tex]
A TV has a listed price of $900.99 before tax. If the sales tax rate is 6.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
Which of the values shown are potential roots of f(x) = 3x3 â€"" 13x2 â€"" 3x 45? Select all that apply.
The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]
And the accurate root is 3 it can be determined by using rules of the rational root equation.
Given that,Function; [tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]
We have to determine,Which of the values shown are potential roots of the given equation?
According to the question,Potential roots of the polynomial are all possible roots of f(x).
[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
[tex]\rm p=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 45}[/tex]
[tex]\rm q=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 3}[/tex]
The factor of the term 45 are,
[tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45[/tex]
And The factor of 3 are,
[tex]\pm1, \ \pm3[/tex]
All the possible roots are,
[tex]\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]
Now check for all the rational roots which are possible for the given function,
[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0[/tex]
Therefore, x = 3 is the potential root of the given function.
Hence, The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex].
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Answer: ALL OF THEM
Step-by-step explanation:
Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.
Answer:
12
Step-by-step explanation:
A regular hexagon has 6 equal sides
2 times 6 = 12
Answer:
10.4m²
Step-by-step explanation:
A≈10.39m²
A=33
2a2=3·3
2·22≈10.3923m²
= 10.4m²
100 POINTS!! ANSWER ASP THANKS
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. p (Answer) (835
Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
Answer: P≥835
Answer: Your Answer Is p≥835 i took the quiz
Step-by-step explanation:
y varies directly as x . when x=3 , then y=12 . find y when x=20.
Answer:
Congress. would equal 80 due to x being worth 1/4 of y's total.
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 5/4x
Step-by-step explanation:
To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.
So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.
Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)
Answer:
Step-by-step explanation:
y = 15
x = 12
The y intercept is zero so the slope is simply
m = y /x
m = 15/12
m = 5/4
The equation is
y = 5/4
2
PLEASE HELP QUESTION IN PICTURE
D and F are correct
Answer:
B
Step-by-step explanation:
First of all we know b is a parrellogram, so it is b.
But also other reasons:
It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.
How do you turn 48% in to a decimal?
Answer:
0.48
Step-by-step explanation:
Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.
Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book?
Answer:
200 BooksStep-by-step explanation:
PLEASE HELP QUESTION IN PICTURE
Answer:
-3/2
Step-by-step explanation:
1) find the slope of (-9,-4), and (3,4)
4-(-4)=8, and 3-(-9)=12
the slope is 8/12 or 2/3 when simplified.
the PERPENDICULAR slope is the negative reciprocal of the slope, so
-3/2 is the answer.
branliest if correct.
Solve.
2.903=y+710
Enter your answer as a decimal in the box.
y =
-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?
Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.
Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.
It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.
From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.
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