the corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?
On the grid: Point A (-6,2); Point B (2,6); Point C (7,1); Point D (3,-5)
Answers
Answer:
34.6 units
Step-by-step explanation:
The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.
The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).
Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:
Distance between point A(-6, 2) and point B(2, 6):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-6, 2)) = (x_1, y_1) [/tex]
[tex] B(2, 6) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2} [/tex]
[tex] AB = \sqrt{(8)^2 + (4)^2} [/tex]
[tex] AB = \sqrt{64 + 16} = \sqrt{80} [/tex]
[tex] AB = 8.9 [/tex] (nearest tenth)
Distance between B(2, 6) and C(7, 1):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] B(2, 6) = (x_1, y_1) [/tex]
[tex] C(7, 1) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(7 - 2)^2 + (1 - 6)^2} [/tex]
[tex] BC = \sqrt{(5)^2 + (-5)^2} [/tex]
[tex] BC = \sqrt{25 + 25} = \sqrt{50} [/tex]
[tex] BC = 7.1 [/tex] (nearest tenth)
Distance between C(7, 1) and D(3, -5):
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(7, 1) = (x_1, y_1) [/tex]
[tex] D(3, -5) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2} [/tex]
[tex] CD = \sqrt{(-4)^2 + (-6)^2} [/tex]
[tex] CD = \sqrt{16 + 36} = \sqrt{52} [/tex]
[tex] CD = 7.2 [/tex] (nearest tenth)
Distance between D(3, -5) and A(-6, 2):
[tex] DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] D(3, -5) = (x_1, y_1) [/tex]
[tex] A(-6, 2) = (x_2, y_2) [/tex]
[tex] DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2} [/tex]
[tex] DA = \sqrt{(-9)^2 + (7)^2} [/tex]
[tex] DA = \sqrt{81 + 49} = \sqrt{130} [/tex]
[tex] DA = 11.4 [/tex] (nearest tenth)
Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units
Related Questions
simplify (2xyz^2)^5.
Answers
Answer:
4x^5y^5z^7
Step-by-step explanation:
4x^5y^5z^7
Answer:
[tex](2xyz^2)^5[/tex]
This equation shows us that the whole thing in the parenthesis need to be multiplied by 5 times.
The result:
[tex]=32x^5y^5z^{10}[/tex]
([tex]\left(a^b\right)^c=a^{bc}[/tex] this is how I got the exponent 10 for z)
Grapes cost $4.99 for 4 pounds at the supermarket.They 6.99 for 6 pounds at food mart.Witch store has a better deal?
Answers
Answer:
The grapes at the food mart are cheapest.
Step-by-step explanation:
First, you need to find out the cost for just one pound of grapes. You take $4.99 and divide it by 4 (the number of pounds) to get about $1.25 per pound from the supermarket. Now you do the same thing for the food mart. $6.99 divided by 6 is about $1.17. Therefore, the grapes at the food mart are cheaper.
Hope this helps!
Write an expression for the sequence of operations described below. add 6 and u, then triple the result Do not simplify any part of the expression. ( u + 6 )
Answers
Answer:
3u + 18
Step-by-step explanation:
( u + 6 )
3 ( u + 6 )
Distribute:
( 3u + 18)
Is this right? I just need to make sure. :)
Answers
Answer:
Yes, you are 100% correct! Good job!!!
Step-by-step explanation:
Answer: B
Step-by-step explanation:
To solve this problem, we need to understand y-intercepts and slope.
Looking at the problem, we can automatically eliminate C and D. The graph has a negative slope because it is going down.
Now, let's look at the y-intercept. We see that the graph passes the y-axis at 1. Therefore, B is the correct answer.
X is less than 9 and greater then or equal to -3
Write in inequality
Answers
9>x>=-3
hey guys.How are u all
Answers
Answer:
We are Fine .........do u wanna chat with me
simplify (x^2/5)^3/7
Answers
You need to put your reindeer, Ezekiel, Lancer, Rudy, and Jebediah, in a single-file line to pull your sleigh. However, Jebediah and Rudy are best friends, so you have to put them next to each other, or they won't fly.
Answers
Answer:
Well to start out you have 5 reindeer. If you glue Lancer and Ezekiel together you only have 4 units to arrange in different orders. That number is 24. But for each of those, Lancer and Ezekiel can be arranged in two ways... with Lancer in front of the pair or in the back of the pair. So altogether there are 48 ways to arrange the five reindeer with Lancer and Ezekiel always being together.
Answer:
Put Jebediah and Rudy in the back of the line next to each other, and the 2 others single file in front
Step-by-step explanation:
More weight in the front makes them fall.
1.3.AP-2
Question
Complete the statement below. Then use a number line to find the sum - 3+5.
- 3+5 is
I
units from - 3, in the
direction.
- 3+5 is
units from - 3, in the
direction.
Answers
Answer:
-3+5=2 because you are basically subtracting 5-3 which equals 2
What is 2/5 divided by 1/6 HELPPPPP
Answers
Answer: 2.4 as a decimal or 12/5 in fraction form
MORE POINTS!!! HELP ASAP!!
x^2 = 9 and y^3 = 8
What is the greatest possible value of (x-y)^2?
Answers
Answer:
1
Step-by-step explanation:
x^2=9. and. y^3=8
=x=3. and. y=2
=(x-y)^2
=(3-2)^2
=1^2
=1
square root 27 minus square root 3
Answers
Answer:
3.46410161514
Step-by-step explanation:
the square root of 27 = 5.19615242271
and the square root of 3 = 1.73205080757
5.19615242271 - 1.73205080757 = 3.46410161514
hope this help
plz mark brainlest
What is the answer to 3x2 4x3y 5y2 =
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{60 {x}^{5} {y}^{3}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{3 {x}^{2} \times 4 {x}^{3} y \times 5 {y}^{2} }[/tex]
Multiply the numbers and variables separately
[tex] \longrightarrow{ \sf{(3 \times 4 \times 5) \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]
[tex] \longrightarrow{ \sf{60 \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]
Add the powers of the variables with same base
[tex] \longrightarrow{ \sf{60 \times {x}^{2 + 3} \times {y}^{1 + 2}}} [/tex]
[tex] \longrightarrow{ \sf{60 {x}^{5} {y}^{3} }}[/tex]
Hope I helped!
Best regards! :D
Throughout this activity, the scale factor, n, has been a positive value. However, a scale factor for dilations can also be negative. When a set of coordinates on a preimage is multiplied by -n instead of n, the coordinates of the image rotate about the center of dilation by 180°. Consider all the potential intervals of n in the table. Enter information in the table to indicate whether the scale factor produces an enlargement, a reduction, or no size change. Also indicate whether the image rotates 180° about the center of dilation. The first one has been done for you.
Answers
Help idk how to do this please
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2.5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{3}{x - 1} = 2}[/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{2(x - 1) = 3}}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{2x - 2 = 3}}[/tex]
Move 2 to right hand side and change it's sign
[tex] \longrightarrow {\sf{2x = 3 + 2}}[/tex]
Add the numbers : 3 and 2
[tex] \longrightarrow{ \sf{2x = 5}}[/tex]
Divide both sides by 2
[tex] \longrightarrow{ \sf{ \frac{2x}{2} = \frac{5}{2}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 2.5}}[/tex]
Hope I helped!
Best regards! :D
What is 1.8 times 10 to the power of 14?
Answers
Answer:
1.8×(10^14)=123 I guess
ss google said it
a store is having a clearance special in every item is 30% off what is the sale price of the $320 suit
Answers
Answer:
It's 224
Step-by-step explanation:
She will save 96.00
Answer:
224
Step-by-step explanation:
and she would save like 96.00
plz i need help Find the perimeter and area of each shape. If you use a formula write it down. Show me your work. 1.) An 8ft by 10 ft rectangle15. 2.) A square with a side of 7in
Answers
explanation:
p=2l+2w
p=2(8)+2(10)
p=16+20
p=36
area = 80 ft^2
explanation
a=l*w
a=8 ft* 10 ft
a=80 ft^2
2) perimeter = 28
explanation:
p=2l+2w
p=2(7)+2(7)
p=14+14
p=28
area = 49 in^2
explanation:
a=l*w
a=7in*7in
a=49 in^2
Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).
Answers
Answer:
the mid
Step-by-step explanation:
(-1.5, -5)
Find the mean absolute deviation of the set of data. 2, 4, 4, 6, 8? PLEASE NOW
Answers
Answer:
1.76
Step-by-step explanation:
The mean absolute deviation of the set of data. 2, 4, 4, 6, 8 is 1.76.
How to calculate the mean absolute deviation?Firstly, we need to calculate the mean of the numbers. This will be:
= (2 + 4 + 4 + 6 + 8)/5
= 24/5
= 4.8
The absolute deviation from the mean will be:
= (2.8, 0.8, 0.8, 1.2, 3.2).
Therefore, mean absolute deviation of the set of data will be:
= (2.8 + 0.8 + 0.8 + 1.2 + 3.2)/5
= 1.76
Learn more about mean on:
https://brainly.com/question/1136789
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What’s 144 divided by 9
Answers
Answer:
16
Step-by-step explanation:
The required value of 144 divided by 9 is 16.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine the value of 144 divided by 9.
As per the question,
⇒ 144 ÷ 9
⇒ 144 / 9
Apply the division operation, and we get
⇒ 16
Thus, the required value of 144 divided by 9 is 16.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ5
can you please help me :)
Answers
Answer:
0; 3; 9.
Step-by-step explanation:
If x=20 then y=0.5x20-10 so: 20x0.5=10 10-10=0
If x=26 then y=0.5x26-10 so: 26x0.5=13 13-10=3
If x=38 then y=0.5x38-10 so: 38x0.5=19 19-10=9
For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many students were in each bus if 315 students were on the trip? 11x + 8 = 315 315 + 8x = 11 8x + 11 = 315
Answers
Answer:
8x + 11= 315
Step-by-step explanation:
Let x = the number of students in a bus
There are 8 buses
8x is the number of students in buses
There are 11 students in cars
Add this together to get all the students, which is 315
8x + 11= 315
Answer:
8x + 11 = 315
Step-by-step explanation:
Note: There are 315 students in all. The expression being created will equal this amount.
11 of the students rode in cars, so they will be excluded from the bus amount. Add those at the end (+11).
It is given to us that there are 8 buses in all. You are solving for the amount of students in each bus, which is signified by x. As there are 8 buses, you will multiply the two together: 8x
8x + 11 = 315 is your answer.
~
Flying with the wind, a plate went 251 km/h. Flying into the same wind, the plane only went 219 km/h. What is the speed of the wind?
A. 8 km/h
B. 15 km/h
C. 26 km/h
D. None of the above.
Answers
Answer: Option D, the actual speed of the wind is 16km/h.
Step-by-step explanation:
Let's define two quantities:
Sp = Speed of the plane, that we assume it is constant.
Sw = Speed of the wind, that we assume it is constant.
When the plane flies with the wind, the total speed will be
Sp + Sw = 251km/h.
When the plane flies against the wind, the total speed will be:
Sp - Sw = 219km/h.
Then we have two equations:
Sp + Sw = 251km/h
Sp - Sw = 219km/h.
We want to find the speed of the wind, so we should isolate the speed of the plane in one of the equations, let's isolate it in the second equation:
Sp = 219km/h + Sw.
Now we can replace this into the other equation:
Sp + Sw = 251km/h.
(219km/h + Sw) + Sw = 251km/h.
2*Sw + 219km/h = 251km/h
2*Sw = 251km/h - 219km/h = 32km/h
Sw = (32km/h)/2 = 16km/h.
This is really close to the option B, but is not equal, so the correct answer will be D, none of the above.
What is the horizontal position of a point
Answers
Featured snippet from the web
In this context, a horizontal position is the location of a point relative to two axes: the equator and the prime meridian on the globe, or x and y axes in a plane coordinate system. Control points tie coordinate systems to actual locations on the ground; they are the physical manifestations of horizontal datums.
4. Ayla purchased two pairs of jeans for $30.50 and a shirt for $20.75. She paid with a one hundred dollar bill
How much change will Ayla get back?
851.25
$48.75
$81.75
$18.25
Answers
Answer:
i believe its $48.75
Step-by-step explanation:
I didn't know if each pair of jean was 30.50 each. I just did 30.50 + 20.75 to get 51. 25. Then i subtracted that from 100, 100- 51.25, to get 48.75
a jar is filled with 1000 jelly beans . A random sample of 15 is taken from the jar and it is found to contain 2 black , 4 green , 6 red , and the rest orange . Of the 1000 jelly beans in the jar. The expected number of black jelly beans and orange jelly beans respectively be :
A. 267,200
B. 257,300
C. 133,300
D. 133, 200
Answers
The answer would be B. 257,300
While shopping at a clearance sale Samantha find $60 dress on sale for 25% off Samantha also has 50% off coupon which statement correctly summarizes her savings
Answers
Answer:A samantha will save 45$ because the two sales will combine for 75% off the original cost.
Step-by-step explanation:
I took the test hope this helps
Answer:
Option B
(B) Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Step-by-step explanation:
Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question:
Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.
The student's error occurred here :
2 cubed (negative 2) + 5 (5)
(3 - 8) will give - 5 and not 5 as Witten by the student. The correct working is stated below :
2³(2 - 4) + 5(3 - 8)
Step 1:
8(-2) + 5(-5)
Step 2:
-16 + - 25
Step 3:
-41
Answer:
The answer is B
Step-by-step explanation:
Find the 9th term of the geometric sequence whose common ratio is 1/2 and whose first term is 4.
Answers
Answer:
The 9th term is 1/64.
I hope it is correct ✌️
