Madisyn is planting crops in a triangular garden. The triangular garden can be
seen below. What is the amount of fencing that Madisyn needs?
Answers
Answer:
The amount of fencing Madisyn needs is approximately 20.77 m
Step-by-step explanation:
The coordinates of the vertices of the triangular garden are;
A(0, 6), B(6, 5), and C(5, -1)
The length of the sides of the triangle can be found through the given coordinates and the distance between coordinates formula presented as follows;
[tex]Distance \ between \ points \ given \ the \ coordinates = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, the length of AB is [tex]\sqrt{\left (5-6 \right )^{2}+\left (6-0 \right )^{2}} = \sqrt{37}[/tex]
The length of BC is [tex]\sqrt{\left (5-(-1) \right )^{2}+\left (6-5 \right )^{2}} = \sqrt{37}[/tex]
The length of AC is [tex]\sqrt{\left (6-(-1) \right )^{2}+\left (0-5 \right )^{2}} = \sqrt{74}[/tex]
Therefore;
The amount of fencing Madisyn needs = The length of the sides of the triangular garden
The length of the sides of the triangular garden = The length of AB + The length of BC + The length of AC
The length of the sides of the triangular garden = √37 + √37 + √74 ≈ 20.77 m.
The amount of fencing Madisyn needs ≈ 20.77 m.
Related Questions
Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .
Answers
Answer:
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Step-by-step explanation:
Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:
[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.
By direct comparison, we get the following coincidences:
[tex]h = 0[/tex]
[tex]k = 0[/tex]
[tex]4\cdot p = -4[/tex] (Eq. 2)
From (Eq. 2) we get that distance between focus and vertex is:
[tex]p = -1[/tex]
Which is consistent with the fact parabola has an absolute maximum.
Now, the location of the focus is:
[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)
If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:
[tex]F(x, y) = (0-1, 0)[/tex]
[tex]F(x,y) = (-1,0)[/tex]
And the equation of the directrix is represented by:
[tex]x = -p[/tex] (Eq. 4)
([tex]p = -1[/tex])
[tex]x = 1[/tex]
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Answer:
The general formula for this parabola is y2 = 4px.
Therefore, the value of p is
✔ –1
.
The coordinates of the focus are
✔ (–1,0)
.
The equation of the directrix is
✔ x = 1
.
Step-by-step explanation:
Phoebe bought 2/3 of a yard of green ribbon and 1/3 of a yard white ribbon to use on her quilt. She decided to exchange 1/3 yard of white ribbon for 1/3 yard of yellow ribbon. How much white ribbon does phoebe have to use on her quilt?
Answers
Please help, will mark brainliest for the correct answer
Answers
Answer:
C. 23/21
Step-by-step explanation:
Please mark brainliest
gd231037 gabrielle d
Answers
Answer:
c
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
(6.4 x 104) + (2.1 x 104
Answers
Answer:
884
Step-by-step explanation:
Answer:
884
Step-by-step explanation:
solve for 6.4x104 and add to 2.1x104
pls help
-10y + 18 = -3(5y - 7) + 5y
what is y?
Answers
18=21 is false, there is no solution.
No Solution
A 4-pack of museum tickets costs $30.28. What is the unit price?
Answers
Answer:
7.57
Step-by-step explanation:
30.28/4 = 7/57
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10%
sales tax. How much will she pay altogether? Answer the questions to find out. 3.How much is the 10% tax on the sale price? Explain how you found your answer.
Answers
Answer:
13.20$ :)
Step-by-step explanation:
40% off of 20$ is 12$ and 10% of 12$ is 1.20$ add that and you get 13.20$
Directions: Find each missing measure. please help me find T and U
Answers
Answer:
m∠U = 54°
m∠T = 72°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:
m∠S = m∠U
m∠S = 54°
m∠U = 54°
All angles in a triangle add up to 180°:
m∠S + m∠U + m∠T = 180°
54° + 54° + m∠T = 180°
108° + m∠T = 180°
m∠T = 72°
PLEASE HELP ME WITH THESE 3 QUESTIONS, DUE NOW! WILL GIVE BRAINLIST
QUESTIONS:
1. The seventh grade class held an end of the year dance. Of the 300 seventh graders, 246 decided to attend. What percent of the seventh grade class attended the end of the year dance? *
A. 1.12%
B. 85%
C. 82%
2. A farmer decides to sell 32 pounds of his small 96-pound potato crop. What percent of the crop did he sell? *
A. 33%
B. 30%
C. 3%
3. Tolu is reading a new novel. He has read 173 out of 480 pages. About what percent of the book has he read? *
A. 33%
B. 36%
C. 35%
D. 28%
Answers
Answer:
Step-by-step explanation:
i give you an answer and you delete it..? hhh i get that i mighta been wrong ( i forget who was wrong tbh ) but that wasn't very nice-
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of negative 35.84 degrees Upper C and a boiling point of 310.69 degrees Upper C . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state? (Hint: Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis ) Express the range as an inequality. Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid state? nothing (Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
Answers
Answer:
96.512 °F < x < 591.242 °F
Step-by-step explanation:
We are given;
Melting point = 35.84 °C
Boiling point = 310.69 °C
Now, we are given that formula to convert °C to °F is;
°C = (5/9)°F
Thus if the temperature in Fahrenheit is x, then;
Melting point is; 35.84 °C = (5/9)x°F - "32"
x = ((9 × 35.84)/5) + 32
x = 96.512 °F
Similarly, for Boiling point;
Boiling point is;
310.69 °C = (5/9)x°F - "32"
x = ((9 × 310.69)/5) + 32
x = 591.242 °F
Now, we are told that matter is in its liquid form when it is between melting and boiling point.
Thus, range of x in inequality form is;
96.512 °F < x < 591.242 °F
Solve for c in the proportion.
Answers
Answer:
c = 3
Step-by-step explanation:
you have to multiply then divide
9 × 1 = 9
then divide...
9 ÷ 3 = c = 3
there you have it, folks
19
Tell whether the triangles are similar. Explain.
Please help!!!!!!!
Answers
Answer:
Step-by-step explanation:
Help this person she really needs help! XD
PLEASE HELP ASAP!!!!!
Answers
Answer:
C. Have a good day. :)
Step-by-step explanation:
Hey can anyone help me I need this ASAP please:)
Answers
Answer:
keep adding 35 to the graph
Step-by-step explanation:
Help plss!!!
A jewelry store paid $75 for a necklace at
wholesale cost. The store will sell the necklace
for $250. What is the percent markup on the
necklace?
A. 175% increase
B. 250% increase
C. 233% increase
D. 300% increase
Answers
Answer:
75 increased by 233% = 249.75 if you are rounding up this is the answer
Step-by-step explanation:
This is true because 249.75 is the closest the other guy who wrote the wrong answer is lying. (update) it just got deleted i told you
Idk how to do this?!!
Answers
Answer:
no idea you're welcome
I need answers in 10 minutes, the red ones are for the numbers with no denominator
Answers
Answer:
1) .5 2) 1.25
Step-by-step explanation:
lol i don't have time to get the rest but I hope this helps a bit. just remember that you're trying to isolate the variable and find its value. What you do to one side of the equation, do it on the other side of the equal sign
PLS DONT REPORT ME IF U DO U DONT WANT TO KNOW WHAT WILL HAPPEN
So if you have 2x2 amount of apples but then you only have 3 apples whats wrong with this equation?
Answers
Answer:
2x2 is 4 but you have 3 apples?
Step-by-step explanation:
HELP ME PLS IT"S DUE TODAY. JUST GIVE ME THE ACTUAL ANSWER IF YOU KNOW IT PLUS ILL GIVE YOU 5 STARS!!!!
Answers
Answer:
the answer is we dont know cuz theres no question
ok then it should be the bag wit 8lb
Answer:
Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).
There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
Answers
Answer:
3 benches needed
Step-by-step explanation:
Answer:
3 benches
Step-by-step explanation:
4 people to one bench
12 people divided by 4 = 3 benches
What is the value of x?
Answers
Answer:
150
Step-by-step explanation:
Answer: 70
Step-by-step explanation: because 40 + 70 is 110. There is a sum of 180 degrees in a triangle. And 180- 110= 70.
pls give me brainliest
if y=27 when x=12, find x when y=-12
Answers
Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = ← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
Which situation can be represented by this equation?
16 + 0.55n = 22 + 0.25n
Hurry need help ASAP
Answers
If g(x) = x2 − 4, find g(5).
Answers
Answer:
21
Step-by-step explanation:
5
Answer:
[tex]\boxed {21}[/tex]
Step-by-step explanation:
Find [tex]g(5)[/tex]:
[tex]g(x) = x^{2} - 4[/tex]
-Apply [tex]5[/tex] for variable [tex]x[/tex] to the equation:
[tex]g(5) = (5)^{2} - 4[/tex]
-Solve the expression:
[tex]g(5) = (5)^{2} - 4[/tex]
[tex]= 25 - 4[/tex]
[tex]= \boxed {21}[/tex]
Therefore, the final answer is [tex]21[/tex].
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for selling the first subscription. For each additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling 150 magazine subscriptions?
Answers
Answer:
671.25
Step-by-step explanation:
Treven and Carlos entered a hot dog eating
contest. Carlos ate 7 more than the amount of hot
dogs that Treven ate. Carlos ate 17 hot dogs. How
many hot dogs did Treven eat?
Write the equation and solve.
Answers
Answer:
10
Step-by-step explanation:
17-7=10
Why are 0.02 and 0.020 equal?
Answers
Answer:
the reason is because the last zero at the end of the second number doesn't equal anything/has no meaning.
2x2 – 3x -9= (Factor completely.)
Answers
Answer:
The answer is 31. :)
Step-by-step explanation:
The tanks at the Georgia Aquarium hold approximately 8.4 × 106 gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water. Use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Answers
Answer:
the answer is 20
hope this helped
Step-by-step explanation:
The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.
The number of the time will be calculated as below:-
= 8.4 × 10⁶ / 400,000
= 20.1
Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
To know more about an expression follow
https://brainly.com/question/15772941
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