The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).
What is the perimeter of the rectangle? Round each step to the nearest tenth.
Enter your answer as a decimal in the box.
units
Answers
Answer:
Perimeter of rectangle is 23.34
Step-by-step explanation:
The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).
What is the perimeter of the rectangle?
The formula to find perimeter of rectangle is: [tex]Perimeter=2(l+w)[/tex]
We need to find length and width first using the coordinates (-4, 3), (-1, 5),(3, – 1), and (0, – 3).
Let A=(-4, 3) B=(-1, 5) C=(3, – 1) and D=(0, – 3) according to the figure attached.
So, If we find distance of point AB it can be considered length of rectangle and distance of point AC can be considered width of rectangle
The formula used to find distance is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Finding distance AB, we have [tex]x_1=-4, y_1=3, x_2=-1, y_2=5[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-1-(-4))^2+(5-3)^2}\\Distance=\sqrt{(-1+4)^2+(5-3)^2}\\Distance=\sqrt{(3)^2+(2)^2}\\Distance=\sqrt{9+4}\\Distance=\sqrt{13}\\Distance=3.61[/tex]
So distance between point A and B is 3.61
Finding distance AC, we have [tex]x_1=-4, y_1=3, x_2=3, y_2=-1[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-4))^2+(-1-3)^2}\\Distance=\sqrt{(3+4)^2+(-1-3)^2} \\Distance=\sqrt{(7)^2+(-4)^2} \\Distance=\sqrt{49+16} \\Distance=\sqrt{65}\\Distance=8.06[/tex]
So, distance between point A and C is 8.06
We have length = 3.61 and width = 8.06
Using formula of perimeter
[tex]Perimeter=2(l+w)\\Perimeter=2(3.61+8.06)\\Perimeter=2(11.67)\\Perimeter=23.34[/tex]
So, Perimeter of rectangle is 23.34
Related Questions
One pipe can fill a tank in 24 minutes, a second can fill it in 8 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?
4 4/5 minutes
4 minutes
1/6 minute
Answers
Answer:
4 mins
Step-by-step explanation:
Tank 1: 24
Tank 2: 8
Tanks 3: 12
So you add them all up to equal the "work". which is one. Looks like this:
*** x/24 + x/8 + x/12 = 1 ***
multiply all by 24
x+3x+2x=24
add like terms
6x=24
divided by 6
x=4
So x=4 minutes.
:)
*** You could check by putting 4 into x by the * (stared) problem
Find the x-intercept for x+8y=-9
Answers
Answer:
-9
Step-by-step explanation:
To find the x-intercept, we have to substitute 0 as y.
x + 8(0) = -9
x = -9
There ya go!
Answer:
x = - 9
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x, that is
x + 8(0) = - 9, that is
x = - 9 ← x- intercept or in coordinate form (0, - 9 )
A taxi driver fills the gas tank and calculates that the car traveled 356.35 miles using 9.5 gallons of gas how many miles per gallon did the car get?Do not enter label only the number part of the anwser
Answers
Answer:
37.5 miles per gallon
Step-by-step explanation:
In order to calculate the mileage per gallon of the car we simply need to divide the total number of miles that the car has travelled by the total amount of gas that is used during that time. Since we are given both of these values then we can simply go ahead and use these values to find the car's gas mileage...
356.35 / 9.5 = 37.5 miles per gallon
Finally, we can see that the taxi driver's car gets roughly 37.5 miles per gallon.
What is the awnser to that question
Answers
Answer:
its A
Step-by-step explanation:
Can I plz have brain list
t to the power of 2 subtracted by 12w divided by x
Answers
Answer:
t squared-12w
-------------------
x
Step-by-step explanation:
PLEASE HELP!!! ill give you brainliest
Answers
Answer:43 teaches
Step-by-step explanation:I research it
If there are 96 grams of fat in 16 oz of ground beef, how much fat is in 3 oz of ground beef?
Answers
Answer: 18 grams of fat
Step-by-step explanation:
find how many grams per ounce; 96/16=6
6 grams per ounce
3x6= 18
A model of a statue is
10
10
inches tall. The scale factor of the model to the actual statue is
\frac{5}{2}
2
5
inches = 8 feet
inches=8feet
. How tall is the actual statue?
Answers
Answer:
32
Step-by-step explanation:
10 divided by 5/2 or 2 and 1/2 is 4 4 x 8 = 32.
Imagina que vas a un partido de béisbol con tus amigos, y tienen hambre. El costo de dos botellas de agua y 3 bolsas de palomitas es de $65. El costo de 4 botellas de agua y 1 bolsa de palomitas es de $55. Para saber cuánto pagaría cada uno, determina el costo de una botella de agua y de una bolsa de palomitas.
(Considera que x=agua y y= palomitas)
Answers
Answer:
El costo de una botella de agua es de $10
El costo de una bolsa de palomitas de maíz es de $15.
Step-by-step explanation:
Los parámetros dados son;
El costo de dos botellas de agua y 3 bolsas de palomitas de maíz = $65
El costo de 4 botellas de agua y 1 bolsa de palomitas de maíz = $55
Donde x = El costo de una botella de agua ey = El costo de una bolsa de palomitas de maíz, tenemos;
2 × x + 3 × y = 65 ... (1)
4 × x + y = 55 ... (2)
Haciendo y el tema de ambas ecuaciones, tenemos;
Para la ecuación (1), tenemos;
2 · x + 3 · y = 65
3 · y = 65 - 2 · x
y = 65/3 - 2/3 · x
Para la ecuación (2), tenemos;
4 · x + y = 55
y = 55 - 4 · x
Igualando ambos valores de y para encontrar la solución común, tenemos;
65/3 - 2/3 · x = 55 - 4 · x
4 · x - 2/3 · x = 55 - 65/3
10 · x / 3 = 100/3
∴ 10 · x = 100
x = 100/10 = 10
x = 10
El costo de una botella de agua = x = $10
y = 55 - 4 · x = 55 - 4 × 10 = 55 - 40 = 15
y = 15
El costo de una bolsa de palomitas de maíz = y = $15
Teniendo en cuenta la definición de sistema de ecuaciones lineales, el costo de una botella de agua es $10, mientras que el costo de una bolsa de palomitas es $15.
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
En este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:
x= el costo de una botella de agua.y= el costo de una bolsa de palomitas.Por un lado, se sabe que el costo de 2 botellas de agua y 3 bolsas de palomitas es de $65. Esto se expresa mediante: 2x + 3y= 65
Por otro lado, se sabe que el costo de 4 botellas de agua y 1 bolsa de palomitas es de $55, expresado mediante 4x + y= 55
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{2x+3y=65} \atop {4x+y=55}} \right.[/tex]
Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución , que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.
En este caso, aislando la variable "y" de la segunda ecuación se obtiene:
y= 55 -4x
Reemplazando en la primer ecuación se llega a la expresión:
2x+3×(55 -4x)=65
2x +3×55 - 3×4x=65
2x + 165 - 12x=65
2x -12x= 65 -165
-10x=-100
x= (-100)÷ (-10)
x=10
Finalmente, para obtener el valor de y se reemplaza en la expresión anteriormente obtenida para y:
y= 55 -4x
y= 55 -4×10
y= 55 - 40
y=15
Finalmente, recordando que x representa el costo de una botella de agua e y representa el costo de una bolsa de palomitas, entonces el costo de una botella de agua es $10, mientras que el costo de una bolsa de palomitas es $15.
Aprende más sobre sistemas de ecuaciones lineales:
https://brainly.com/question/15924499?referrer=searchResultshttps://brainly.com/question/17411423?referrer=searchResultsSomeone please help
What is 3.5=12s-55?
Answers
Answer: was that not the answer
Step-by-step explanation:
What’s the answer to this question ?
Answers
Answer:
∠ C = 44°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
4x - 16 +6x - 1 + 4x - 13 = 180°
14x - 30 = 180 ( add 30 to both sides )
14x = 210 ( divide both sides by 14 )
x = 15
Thus
∠ C = 4x - 16 = 4(15) - 16 = 60 - 16 = 44°
what is the answer to 10x=-19
Answers
Answer:
- 1.9
Step-by-step explanation:
X= - 19/10
= - 1.9
....
Find the mode of these temperatures:
a) 15°, 26°, 34°, 189, 15°
b) 78°, 62°, 85°, 57°, 68°
c) 80°, 68°, 75°, 80°, 78°
Answers
Answer:
The mode is no mode for the first and second but the third is 80
I am confused as to why there wasn't more than one of the same number for this problem
Remember that mode is the one that appears the most!
Step-by-step explanation:
A song that I learned in 4th grade by my teacher kinda helps with this lol:
Range is the maximum minus the minimum
The mode is the one that appears the most
The median is the one in the middle
Now you know about Data!
Just try and say that over and over or write it down somewhere lol
I hope this helps
plz mark B R A I N L I E S T
Answer:
a) 15°
b) No mode
c) 80°
Step-by-step explanation:
Mode:
The value/quantity that occurs most often is the mode of the data set.
Part a)
15° (Occurs 2 times)
Part b)
No mode (Each value occurs equally i.e. 1 time)
Part c)
80° (Occurs 2 times)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807G is the incenter, or point of concurrency, of the angle bisectors of ΔACE. Triangle A C E has point G as its incenter. Lines are drawn from the point of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Which statements must be true regarding the diagram? BG ≅ AG DG ≅ FG DG ≅ BG GE bisects ∠DEF GA bisects ∠BAF
Answers
Answer:
its B 7
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
The sum of two integers is 31. The larger of the two integers is
4 more than 2 times the smaller integer. What are the integers?
Answers
Answer:
The larger is 22, the smaller is 9.
Step-by-step explanation:
We need to make the two equations for this which would be:
x+y=31
x=2y+4
we can put the second equation into the first
(2y+4)+y=31
3y+4=31
subtract 4 from each side
3y=27
divide each side by 3
y=9
put this y into our second equation
x=2(9)+4
x=18+4
x=22
help! easy question will give brainliest!
Answers
Answer:
C,C,C,C
Step-by-step explanation:
Bottle contains 64 fluid ounces of syrup. Each day, you use 3 1/5 fluid ounces of syrup from the bottle. Is there enough syrup in the bottle for 25 days?
Answers
Given:
Total syrup = 64 fluid ounces
Syrup used each day = [tex]3\dfrac{1}{5}[/tex] fluid ounces
To find:
Whether there is enough syrup in the bottle for 25 days or not.
Solution:
According to the question,
Requirement of syrup for 1 day [tex]=3\dfrac{1}{5}[/tex] fluid ounces
[tex]=\dfrac{3\times 5+1}{5}[/tex] fluid ounces
[tex]=\dfrac{16}{5}[/tex] fluid ounces
Requirement of syrup for 25 day [tex]=25\times \dfrac{16}{5}[/tex] fluid ounces
[tex]=\dfrac{400}{5}[/tex] fluid ounces
[tex]=80[/tex] fluid ounces
Syrup required for 25 days is 80 fluid ounces which is greater than 64 fluid ounces.
Therefore, 64 fluid ounces of syrup is not enough for 25 days.
-24°
(2x + 18)
(3x + 6)
The measure of the exterior angle of the triangle is
Answers
The exterior angle of a triangle is congruent to the sum of the opposite interior angles
The measure of the exterior angle of the triangle is 114 degrees
From the figure,
The interior angles are 24 and 2x + 18. The exterior angle is 3x + 6.So, the interior and exterior angles have the following relationship
[tex]\mathbf{3x + 6 = 2x + 18 + 24}[/tex]
Collect like terms
[tex]\mathbf{3x - 2x = -6 + 18 + 24}[/tex]
[tex]\mathbf{x = 36}[/tex]
The exterior angle is given as:
[tex]\mathbf{\theta = 3x + 6}[/tex]
Substitute 36 for x
[tex]\mathbf{\theta = 3 \times 36 + 6}[/tex]
[tex]\mathbf{\theta = 114}[/tex]
Hence, the exterior angle is 114 degrees
Read more about exterior angles at:
https://brainly.com/question/17972372
Question 4(Multiple Choice Worth 5 points) (01.04 LC)Multiply (-1/6) (-1/5)
Answers
Answer:
1/30 in fraction form.
0.033333333....
Step-by-step explanation:
How do I solve this equation?
Answers
Answer:
so you need to find x
Step-by-step explanation:
the little fraction beside the equation in parenthesis is what you are multiplying by, and 25 is what is equals , so x-7 times 2/3 or 0.67 = 25 we then divide 25 by 0.67 then plus 7 and the answer is 44.31
Answer:
Step-by-step explanation:
can someone help with this
Answers
Answer:
Your answer would be A!!!
Step-by-step explanation:
Hope this helped!!!
Please help!!!! BRAINLIEST to correct and BEST answer!!!
Answers
Isabella ordered a set of red and green pins. She received 50 pins, and 70% of them were red. How many red pins did Isabella receive?
Answers
Answer: 35
Step-by-step explanation: 70% of 50 is 35
If 50% of 240 is 120, what is 75% of 240?
Answers
Answer:
180
Step-by-step explanation:
240*75%=240*0.75=240*(3/4)=240/4*3=60*3=180
Answer:
180
Step-by-step explanation:
there are two ways to do this but the easiest way is just to divide 120 by 2 then add it to 120 so
120 + 60 = 180
give brainliest please :)
Convert 45°C to Fahrenheit.
_____ °F
Answers
Answer:
113F
Step-by-step explanation:
......................
Answer:
113F
Step-by-step explanation:
Need help! Urgent!
Really need to get this done, I’ll prob post some more after this one.
Answers
Answer:
its 42 degrees because all triangles are 180 degrees
44.197 rounded to the nearest whole number
Answers
Answer:
44
Round down to 44
Answer:
44
Step-by-step explanation:
1 is after 44, so it rounds down
You estimate that your school is about 49 ft tall. Your school is actually 58 ft tall. Find the percent error in your estimation.
The percent error is
%. (Round to the nearest percent as needed.)
Answers
Answer:
16%
Step-by-step explanation:
[tex]\frac{|49-58|}{58}*100=15.5=16[/tex]
Answer:
Step-by-step explanation:
.155 would be the decimal. 58-49 is 9. 9/58 to find the decimal of .155. then multiply by 100 to get 15.5% or 16%
................................
Answers
Answer:
amazing
Step-by-step explanation:
ily
48/42 = 16/14
a
proportional
b
non-proportional
pls help
Answers
Answer:
a: proportional
Step-by-step explanation:
48/42=16/14
48/3=16
42/3=14