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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Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.
How many total photos does Daniel have? Enter the answer in the box
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Step-by-step explanation:
Use the slope formula
Taking two points on the line:
(0,3) and (-5,0)
3-0/0+5
You will get: 3/5 as your slope
The y-intercept is (0,3)
Therefore:
y = 3/5x + 3
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.
Please help question in pic
help please i’m doing homework and i can’t fail this lesson.
Answer: y = 3x +1
Step-by-step explanation:
At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is A. 1 to 3
B. 2 to 3
C. 1 to 4
D. 4 to 1
Answer:
C. 1 to 4
Step-by-step explanation:
The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.
Hope I did this correctly since it was long ago that I lastly worked with ratios
A store manager predicts that 100 hats will be sold if each hat costs $12. The manager predicts that 4 less hats will be sond for every $1 increase in price. For what prices can the manager predict that 60 hats will be sold?
Answer:
100-60=40
40/4=10
10*$1=$10
$12+$10=$22
Can someone please help !!
add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2
Answer:
8x² - 5y² + 5xy
Step-by-step explanation:
8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy
Bathing suits are on sale 80% off at Dillards. If I see a bathing suit marked down to $25, what was the original price of the bathing suit?
Answer:
i think 20
Step-by-step explanation:
What is the square root of -7
Answer:
negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc
• The outside temperature changes -4.8°F in 4 hours. What is the average change in temperature each hour?
-19.2°F
-12.2°F
-1.8°F
-1.2°F
Answer:
-1.2°F
Step-by-step explanation:
-4.8F = 4 hours
Divide both sides by 4 to get one side to 1 hour
-4.8F/4 = 4 hours / 4
-1.2F = 1 hour
The average change in temperature each hour is -1.2°F
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the outside temperature changes -4.8°F in 4 hours
We need to find the average change in temperature each hour
To find this we need to use division.
We need to divide -4.8 by 4
-4.8/4
Minus four point eight divided by 4
-1.2
Hence, the average change in temperature each hour is -1.2°F
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what is the set of all the output values in a function called?
Answer:
Set Y I’m pretty sure
Step-by-step explanation:
I need help PLEASE ILL GIVE YOU BRAINLEST
Answer:
y= 0.75x + -0.50
A or B is what im guessing
What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?
question 4. Write an equation of the line that passes through (1, 2) and (3,-2).
Answer in slope-intercept form
O
Answer:
y=-2x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(3-1)
m=-4/(2)
m=-4/2
m=-2
y-y1=m(x-x1)
y-2=-2(x-1)
y-2=-2x+2
y=-2x+2+2
y=-2x+4
Please mark me as Brainliest if you're satisfied with the answer.
HELP QUICK PLS Which property is used in the following expression? (4 + 8) + 6 = 4 + (8 + 6) Associatve Property Commutitive Property Distributive property
the answer is distrubutive property
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.
x=hours
7.5=2.5x
3=x
x=3
3 hours until the power was restored
A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?
[tex]\huge \bf༆ Answer ༄[/tex]
Total distance covered is equal to ~
Number of revolutions × circumference [tex] \sf500 \times 4.4[/tex][tex] \sf2200 \: m[/tex]Hence distance covered = 2200 m = 2.2 km
Find the value of x in the solution of the system y = -4x + 48
Answer:
x = 12
Step-by-step explanation:
y= -4x+48
0=-4x+48
4x=48
x=12
in the figure given alongside if X=3y find the sizes of angles represented by a and b
Answer:
Step-by-step explanation:
x = 3y
x + y = 180°
3y + y = 180° ⇒ y = 45° = a
x = 3( 45° ) ⇒ x = 135° = b
The sizes of angles represented by a and b are 45 and 135 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that
x = 3y
Since we know that the linear pair is
x + y = 180°
Therefore, 3y + y = 180°
y = 45° = a
x = 3( 45° )
x = 135° = b
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A cylinder has a height of 18 feet.
Its volume is 16,334.28 cubic feet.
What is the radius of the cylinder?
The answer is 17, Volume = h × π×r^2
Divide by known height from both sides
Divide by pi
square root
Question 1
On page 179 of your textbook, what percent of group A are Blue squares? What percent of group B are Blue squares? What percent of group C are Blue squares?
The Percent of Blue sqaures out of the total for Group A is _ %.
The Percent of Blue sqaures out of the total for Group B is _ %.
The Percent of Blue sqaures out of the total for Group C is _ %.
Answer:
The Percent of Blue sqaures out of the total for Group A is 75%.
The Percent of Blue sqaures out of the total for Group B is 60%.
The Percent of Blue sqaures out of the total for Group C is 66.66666%.
PLEASE PLEASE HELP!!! i’m struggglingggg
What us y+3=-2 (6x-1)
Answer:
y=-12x-1
Step-by-step explanation:
Help please help please
Answer:
just use algebraic expression
What is the equation of the line in slope-intercept form?
The equation of the line is
Answer:
y=mx+b
Step-by-step explanation:
The slope-intercepts formula, the y = y coordinate, m = slope, x = x coordinate, b = y intercept
I need help I have a test...!
Find the value of x in the figure:
Answer:
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°
Step-by-step explanation:
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:
Marcus has $15.00 to spend on fruit. He buys 3 mangoes and spends the rest of the money on grapes. The store charges $0.75 for each mango and $2.50 per pound for grapes. Which equation represents the number of pounds of grapes, x, Marcus bought and how many pounds of grapes did he buy?
Answer:
It equals to $13.25
Step-by-step explanation: