Answer:
I don't understand the question. Write it again & briefly.
a) A triangular plot is being constructed having its base twice to its altitude. What will be the base and altitude of the plot if the cost of levelling it at the rate of ₹25 per square meter is ₹11,025.
b)If the same plot from above question is being reconstructed into a square field, having the same area, then find the perimeter of square
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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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what is the next term in the number pattern? 77, 64, 53, 44, 37
Answer:
32
...when you subtract five from 37
It is a pattern that goes:
-13
-11
-9
-7
and now -5 = 32
Find the perimeter and area of the figure below.
Answer:
A: 312 P: 80
Step-by-step explanation:
Answer:
A=120, P=60
Step-by-step explanation:
What two expressions are equivalent to 6.5 divided by 1.3?
Answer:
65/13
650/130
Step-by-step explanation:
6.5/1.3
times 10: 65/13
times 100: 650/130
Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?
Answer:
Horizontal compression by a factor of 2 followed by a vertical shift by positive 3
Step-by-step explanation:
a*f(k(x-d))+c
k=2
c=3
Find the value of x
Answer:
x = 8Step-by-step explanation:
is an isosceles triangle, so 12 = x + 4
12 = x + 4
x = 12- 4
x = 8
----------------
check
12 = 8 + 4
12 = 12
the answer is good
Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen’s mother want one adult for every 25 of her friends. The cost of food is $20 for every four of her friends, and the adults eat for free. If a total of 116 people (including Karen and her mother) go to the party, how many are adults and how many are Karen’s friends? How much will the food cost?
The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.
Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:
26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 12 (10 friends + Karen and her mother) = 116 = 5 adults + 111 friends and Karen 111/4 x 20 = X 555 = X
Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.
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What is the estimate height of 129.3
Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
Answer:
well i dont know this sorry
Step-by-step explanation:
Determine the equation of the line for the given information: The graph has y-intercept (0, 6) and contains the point (2, 1). a. y = 2.5 x + 6 b. y = negative 2.5 x + 6 c. y = 6 x + negative 2.5 d. y = 2 x + 6 Please select the best answer from the choices provided A B C D
The equation of the line for the graph that has y-intercept (0, 6) and contains the point (2, 1) is; y = -2.5x + 6
What is the Equation of the Line in Slope Intercept form?The general form of the equation of a Line in Slope Intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are told that the graph has the points (0, 6) and (2, 1). Thus, the formula for slope is;
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 6)/(2 - 0)
m = -5/2
m = -2.5
Now, since the y-intercept is at (0, 6), then it means that;
c = 6
Thus, the equation of the line is; y = -2.5x + 6
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23 base 10+1011 base 2=
Answer:
10111
Step-by-step explanation:
10111
Challenge question? Thanks.
Answer:
x=15
Step-by-step explanation:
the basic property is: AB/AD=BC/CD, for more info see the attachment.
[tex] \sf \huge{ question \hookleftarrow}[/tex]
If [tex] \alpha \: and \: \beta [/tex] are roots of a equation " ax² + by + c ", then find the value of the following in terms of a , b and c ~
[tex] \boxed{ \boxed{ \sf \sqrt{ \alpha} + \sqrt{ \beta } = \: ?}}[/tex]
[tex]\underline{\bf{Given \:equation:-}}[/tex]
[tex]\\ \sf{:}\dashrightarrow ax^2+by+c=0[/tex]
[tex]\sf Let\:roots\;of\:the\: equation\:be\:\alpha\:and\beta.[/tex]
[tex]\sf We\:know,[/tex]
[tex]\boxed{\sf sum\:of\:roots=\alpha+\beta=\dfrac{-b}{a}}[/tex]
[tex]\boxed{\sf Product\:of\:roots=\alpha\beta=\dfrac{c}{a}}[/tex]
[tex]\underline{\large{\bf Identities\:used:-}}[/tex]
[tex]\boxed{\sf (a+b)^2=a^2+2ab+b^2}[/tex]
[tex]\boxed{\sf (√a)^2=a}[/tex]
[tex]\boxed{\sf \sqrt{a}\sqrt{b}=\sqrt{ab}}[/tex]
[tex]\boxed{\sf \sqrt{\sqrt{a}}=a}[/tex]
[tex]\underline{\bf Final\: Solution:-}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}[/tex]
[tex]\bull\sf Apply\: Squares[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2= (\sqrt{\alpha})^2+2\sqrt{\alpha}\sqrt{\beta}+(\sqrt{\beta})^2[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2 \alpha+\beta+2\sqrt{\alpha\beta}[/tex]
[tex]\bull\sf Put\:values[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2=\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\sqrt{\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}}[/tex]
[tex]\bull\sf Simplify[/tex]
[tex]\\ \sf{:}\dashrightarrow \underline{\boxed{\bf {\sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\sqrt{\dfrac{-b}{a}}+\sqrt{2}\dfrac{c}{a}}}}[/tex]
[tex]\underline{\bf More\: simplification:-}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{-b}}{\sqrt{a}}+\dfrac{c\sqrt{2}}{a}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{a}\sqrt{-b}+c\sqrt{2}}{a}[/tex]
[tex]\underline{\Large{\bf Simplified\: Answer:-}}[/tex]
[tex]\\ \sf{:}\dashrightarrow\underline{\boxed{\bf{ \sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\dfrac{\sqrt{-ab}+c\sqrt{2}}{a}}}}[/tex]
The value [tex]\sqrt{\alpha } +\sqrt{\beta }[/tex] in terms of a, b and c is [tex]\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Roots of a quadratic equation
Given the quadratic equation ax² + bx + c, the sum and product of the roots are expressed as:
[tex]\alpha +\beta =-\frac{b}{a} [/tex][tex]\alpha \beta =\frac{c}{a} [/tex]Get the value of the radical expression [tex]\sqrt{\alpha } +\sqrt{\beta } [/tex]
Taking the square of the expression will give:
[tex](\sqrt{\alpha } +\sqrt{\beta } )^2=(\sqrt{\alpha } )^2+(\sqrt{\beta } )^2+2\sqrt{\alpha \beta} [/tex]Take the square root of both sides:
[tex]\sqrt{(\sqrt{\alpha } +\sqrt{\beta } )^2} =\sqrt{(\sqrt{\alpha } )^2+(\sqrt{\beta } )^2+2\sqrt{\alpha \beta} } \\ \sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(\alpha }+{\beta} )+2\sqrt{\alpha \beta} } \\[/tex]
Substitute the product and the sum values into the expression to have:
[tex]\sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(-\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\\sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Hence the value [tex]\sqrt{\alpha } +\sqrt{\beta }[/tex] in terms of a, b and c is [tex]\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
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Convert 45 mi/hr to feet per minute
Answer:
3960
Step-by-step explanation:
multiply 45 by the amount of feet in a mile (5280)
take that answer and divide in by how many minutes are in an hour
f(x)=x^2-3, find f(-2),f(4),and f(0)
f(-2)=
f(4)=
f(0)=
Step-by-step explanation:
f(-2)= -2^2-3= -7
f(4)= 4^2-3= 13
f(0)=0^2-3= -3
Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week
Answer:
$140
Step-by-step explanation:
90-(3x10)-20+100= 140
He started with $90: (90)
Then he wrote 3 checks of $10 each: -(3x10)
Then he withdrew $20: -20
Finally, he made a deposit of $100: +100
Thus, our equation would be: 90-(3x10)-20+100=
(You might want to simplify this expression; giving you 140)
Helpppppppppp asappppppppp 20 points
Here’s a small hint: “miles per hour”
Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!
Answer:
i say its c
Step-by-step explanation:
A new DVD player has a purchase price of $430. With the extended warranty, the total cost is $512. What percent of the purchase price is the price of the warranty? a. 16% b. 19% c. 24% d. 29% Please select the best answer from the choices provided A B C D.
The percent of the purchase price that is the price of the warranty is: b. 19%.
Using this formula
Purchase price percent=Total cost-Purchase price/Purchase price
Where:
Total cost=$512
Purchase price=$430
Let plug in the formula
Purchase price percent=$512-$430/$430
Purchase price percent=$82/$430
Purchase price percent=0.19×100
Purchase price percent=19%
Inconclusion the percent of the purchase price that is the price of the warranty is: b. 19%.
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The cost of an Uber is $8.00 plus $1.25 per
mile. Write a function, f(x), to determine the cost of an x-mile Uber ride.
Answer:
Cost = 8 + 1.25x
Step-by-step explanation:
winch one is biger
4/9 0r 1/12
Answer:
4/9
Step-by-step explanation:
I did the butterfly method to see which one is the bigger one
Answer:
4/9
Step-by-step explanation:
ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain
Answer:
yes
Step-by-step explanation:
For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side
9 + 11 = 20 > 15
9 + 15 = 24 > 11
11 + 15 = 24 > 9
The 3 sides given will form a triangle
Note that
The length of any two sides must be greater than the third side
So
9+11=16>1511+15=26>99+15=24>11Yes it's a triangle
The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that relates the values of a,b, and c in y=ax^2+bx+c to the values of a,h, and k in y=a(x−h)^2+k. For instance, h=ax+b would be a formula that relates h to a and b.
Answers:
[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]
where 'a' cannot be zero.
=========================================================
Explanation:
The vertex is (h,k)
The x coordinate of the vertex is h which is found through this formula
[tex]x = -\frac{b}{2a}[/tex]
For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]
------------
To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.
[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]
[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]
It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.
Answer:
The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.
Step-by-step explanation:
plato
Will mark brainly!! :)
Answer:
(2,1)
Step-by-step explanation:
The answer is (2,1)
What are the domain and range of the function below? Domain[0, ∞). range (-∞, ∞). Domain[0, ∞). Range (-∞,4). Domain(0,4). Range (-∞, ∞). Domain(-∞,4]. Range[0, ∞).
HELP IMMEDIATELY PLEASE
Answer:
Domain[0, ∞). Range (-∞,4).
Step-by-step explanation:
domain is your lowest x (zero) to your highest x (infinity)
range is the lowest y (negative infinity) to your highest y (four)
Answer:
its b
Step-by-step explanation:
What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7
Answer:
6^2Step-by-step explanation:
Question:-To simplify the given expression Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
[As we know, a^x . a^y = a^(x+y)][tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]
[On Simplification][tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]
[As we know, a^x / a^y = a^(x-y)][tex] = {6}^{(7 - 5)} [/tex]
[On Simplification][tex] = {6}^{2} (ans)[/tex]
8(3x – 6) = 6(4x + 8)
Answer: 0 = 96
Step-by-step explanation:
Answer:
The Answer is 0=96
i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.
the lesson name is called solving real world systems of equations via elimination.
here is the question:
jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?
r+b=7
3.75 + 2.75 = 22.25
this is a lesson in 8th grade math.
Answer:
Hallo, I will help you with the problem T^T
Step-by-step explanation:
3.75r + 2.75b = 22.25
3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!
2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!
So this means that they bought:
3 cans of red paint.
And 4 cans of black paint.
Now you may be thinking, how do you know?
If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25
And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0
So add 11 + 11.25 and you get 22.25 :]
Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]
PLEASE HELP!! find the value of x. attached image.
Answer:
x = 4.712145
Step-by-step explanation:
Given a=20 and b=28,
c = 4√74 = 34.409301068171
∠α = 35.538° = 35°32'16" = 0.62025 rad
∠β = 54.462° = 54°27'44" = 0.95055 rad
Area = 280
Perimeter = 82.409301068171
_____________________________________Let's solve your equation step-by-step.
9x−8=34.409301
Step 1: Add 8 to both sides.
9x−8+8=34.409301+8
9x=42.409301
Step 2: Divide both sides by 9.
[tex]\frac{9x}{9} =\frac{42.409301}{9}[/tex]
x=4.712145
Answer:x=4.712145A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 50, 0, negative 6, negative 4, negative 6, 0. Use the table to complete the statements. The x-intercepts shown in the table are and. The y-intercept shown in the table is.
Answer:
Use the table to complete the statements.
The x-intercepts shown in the table are
(–2, 0)
and
(2, 0
.
The y-intercept shown in the table is
(0, –4)
.
Step-by-step explanation:
A box contains 8 red balls and 8 black balls. A
woman takes balls out at random without looking at
them. Once a ball is taken out it is not replaced back in
the box. How many balls must she select to be sure of
having at least three balls of the same color?
Answer:
At least 5 times
Step-by-step explanation:
Number of balls to be selected for having assurance of at least three balls of the same colour is equals to 5 balls.
What is without replacement ?" Without replacement means if an item is drawn from the set of items it is not kept back which represents sample space is decrease by as per the number of selection is done in first draw."
According to the question,
Number of red balls in a box = 8
Number of black balls in a box =8
As per the condition of without replacement we get,
In this case worst selection case could be
Alternate balls are of different colour
Black →Red → Black → Red → fifth ball is either Red or Black
Hence, 5balls must be selected for assuring at least three balls of the same colour .
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