Answers
Given:
The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).
To find:
The area of the rectangle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]AB=\sqrt{(2-0)^2+(4-1)^2}[/tex]
[tex]AB=\sqrt{(2)^2+(3)^2}[/tex]
[tex]AB=\sqrt{4+9}[/tex]
[tex]AB=\sqrt{13}[/tex]
Similarly,
[tex]BC=\sqrt{(6-2)^2+(0-4)^2}[/tex]
[tex]BC=\sqrt{(4)^2+(-4)^2}[/tex]
[tex]BC=\sqrt{16+16}[/tex]
[tex]BC=\sqrt{32}[/tex]
[tex]BC=4\sqrt{2}[/tex]
Now, the length of the rectangle is [tex]AB=\sqrt{13}[/tex] and the width of the rectangle is [tex]BC=4\sqrt{2}[/tex]. So, the area of the rectangle is:
[tex]A=length \times width[/tex]
[tex]A=\sqrt{13}\times 4\sqrt{2}[/tex]
[tex]A=4\sqrt{26}[/tex]
[tex]A\approx 20[/tex]
Therefore, the area of the rectangle is 20 square units.
Related Questions
Find k and y when x = 1.5, if y varies directly as x and y = -16 when x = 6
Answers
Answer:
k = -8/3
y = -4 when x = 3/2
Step-by-step explanation:
-16 = 6k
k = -16/6 or -8/3
y = -8/3(3/2)
y = -4
(3a - 6b + 12) - (6a - 2b + 7).
Answers
Answer = −3a − 4b + 5
To solve the problem 7/13 + 5/8, what would you multiply the top and bottom of the first fraction by?
Answers
Answer:
104
Step-by-step explanation:
you have to find the least common multiple lcm between the bottom numbers. and since there is none before you just multiply the two together to get the same bottom number.
Answer:
8
Step-by-step explanation:
To do this, multiply the top and bottom of the first fraction by the second fraction's denominator, then multiply the top and bottom of the second fraction by the first fraction's denominator. This is how I answered on a test AND got it correct.
Please help with 17-18
Answers
Answer: -1
Step-by-step explanation:
17-18 looks easy but, the answer would be minus.
So, the answer would be: -1
12. The circumference of circle T is 180x units.
What is the area of the shaded sector?
Answers
Answer:900 square units
Step-by-step explanation:
The radius is 90 units. Then the area of the shaded sector will be 900π square units.
What is the area of the sector?Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be
A = (θ/360°) πr²
The circumference of circle T is 180π units. Then the radius of the circle is given as,
C = 180π
2πr = 180π
r = 90 units
Then the area of the sector is given as,
A = (40°/360°) π x 90²
A = 900π square units
The area of the shaded sector will be 900π square units.
More about the area of the sector link is given below.
https://brainly.com/question/7512468
#SPJ6
8x + 7y + 6z– 5x – 4y - 3z
Answers
3x+3y+3z
Answer:
3x+3y+3z
Step-by-step explanation:
53. Renee brought $60 with her to an amusement park. If admission to the park costs $25 and
games cost $3 each to play, what is the GREATEST number of games Renee can play inside the
park?
a. 11
c. 3
b. 12
d. 2
Answers
Renee can play 11 different games.
What are arithmetic operations?The most fundamental operations in arithmetic are addition, subtraction, multiplication, and division. However, arithmetic also includes more complex operations like manipulating percentages, square roots, exponentiation, logarithmic functions, and even trigonometric functions, which are analogous to logarithms. Other examples of more complex operations include exponentiation. Arithmetic expressions must be evaluated in accordance with the intended order of operations.
Given total amount Renee have = $60
Cost for entry in park = $25
The amount left with Renee = 60 - 25
The amount left with Renee = $35
now cost for each game is $3
total no. of games can be played in $35 = [tex]\frac{ The amount left with Renee}{ cost for each game}[/tex]
35/3 = 11.667
Hence we only count integer digits which is 11; so Renee can play 11 different games.
Learn more about arithmetic operations;
https://brainly.com/question/20595275
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A square has a perimeter of 8g + 16. Which expression also represents the perimeter given the side length of the square?
Answers
Answer:
4(2g+4)
Step-by-step explanation:
8g+16
Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.
8/4=2
16/4=4
One side is 2g+4. So multiply that equation by 4.
4(2g+4)
DOUBLE CHECK
4(2g+4)
8g+16
---
hope it helps
Answer:
4(2g+4) :):):):):):):):):):):):)
what is the y-intercept of this parabola?
Answers
Answer:
(0,5)
Step-by-step explanation:
Answer:
(0,5)
The place where the line crosses the y-intercept.
Can you help me for brainlist and explain it to me.
Answers
I will give brainliest if correct!
While bowling with friends, Brandy rolls a strike in 5 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
Answers
Answer:
6/10 or 0.6
Step-by-step explanation:
Answer:
4ew
Step-by-step explanation:
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
1 < x
Step-by-step explanation:
We have to used same order of operations just as we would in an equation;
15 > -x + 16
=> First subtract 16 from each side
-1 > -x
=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)
Therefore the answer is: 1 < x
Hope this helps!
Answer:
15>-x+16
-1>-x
1<x
hope this helps
have a good day :)
Step-by-step explanation:
What is the probability of spinning a number greater than 7 or an odd number? (1 Point)
A.3/10
B.7/10
C.5/10
D.9/10
Answers
It is B because there are 7 out of 10 possibilities that you would get a number greater than 7 or an odd number.
help is appreciated
Which is the graph of the inequality 2 - (x+3) <4- 2x?
OA
-5
0
5
OB
-5
0
5
OC
-5
0
5
OD
-5
0
5
+
OE.
-5
0
5
Answers
Answer:
C
Step-by-step explanation:
hope this help Im pretty sure it's right
The graph for the inequality given is graph 1.
What is an inequality?An inequality is a relation between two numbers or expressions that are not equal. It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.
Given that an inequality, 2-(x+3) < 4 -2x, we need to determine its graph,
For the same solving the inequality,
2-(x+3) < 4 -2x
2-x-3 < 4 - 2x
Add x to both sides,
2-3 < 4-x
-1 < 4-x
Subtract 4
-1-4 > -x
x > 5
Since, the x is greater than 5 so the graph will be the numbers that greater than 5,
Hence, the graph is 1.
Learn more about inequality click;
https://brainly.com/question/30228778
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Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not a whole number, round to
the nearest tenth.
Answers
(nearest tenth)
8(1/4x + 12 - 1/2x) = 82
Answers
Answer:
x=7
Step-by-step explanation:
8(1X/4 +12 - 1 x 1/2X)=82
8(X/4 +12-1 x 1/2 x X)=82
8(X/4+ 12 - 1/2x)=82
8 X x/4 + 96+8 X -x/2=82
2x +96 +8 X -x/2=82
2x +96+ 8(-1)/2=82
2x +96 -8x/2 =82
2x+96-4x=82
-2x+96=82
-2x=-14
x=7
plz like and rate thank you
Deltamath
Please help me I need help!!!!
⚠️Due today!!⚠️.
Answers
Answer:
(7,4)
Step-by-step explanation:
The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answers
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
Investment a starts with $1000 and increases its value by $80 each week. Investment b starts with $2000 and loses $50 of its value each week.After how many weeks will the two investments have the same value?
Answers
Answer:
33.3 weeks
Step-by-step explanation:
Let us represent number of weeks = w
Investment a starts with $1000 and increases its value by $80 each week.
$1000 + $80 × w
1000 + 80w
Investment b starts with $2000 and loses $50 of its value each week.
$2000 - $50 × w
2000 - 50w
After how many weeks will the two investments have the same value?
1000 + 80w = 2000 - 50w
Collect like terms
80w + 50w = 2000 - 1000
130w = 1000
w = 1000/30
w = 33.333333333 weeks
Approximately
After 33. 3 weeks, the Investment will have the same value
Which situation is most likely to have a constant rate of change?
Answers
Answer:
It's C ez claps
Step-by-step explanation:
Which of the following expressions can be used to find how many meters it is from Washington, D.C.,To Baltimore
Answers
Write a simplified expression for the area.
2x ( 3x + 1 )
Real answer will get 50 points
Answers
2x+3x=4x
4x+1
Hope this helps!
(Tell me if it is wrong)
Answer:
6x²+2x
Step-by-step explanation:
happy to help
which number is closest to the value of √32
Answers
Answer:
5.65685424.
Step-by-step explanation:
Square Root of 32: √32 = 5.65685424...
Answer:6
Step-by-step explanation:
Which is the better value? 3 sandwiches for $15.00 or 4 sandwiches for $21.00? PLEASE EXPLAIN DO NOT PUT ANY LINKS
Answers
Answer:
3 for 15
cheaper
all you have to do is divide the number of sandwiches by the money.
(i answered again because its a waste of points)
please help i literally cannot focus on anything rn
Answers
Answer:
-2: 1/16 1=4 3=64
Step-by-step explanation
when doing to the power of a number its just that number multipled by itself that many times. When going into the negatives, you have to flip the number first and then multiply the denominator by the x power.
Word problem: 40% of the Ipads have built-in wifi. If there are 400 Ipads, how
many have built-in wifi?
Answers
Answer:
160 iPads with built in WiFi.
Step-by-step explanation:
10% of 400 = 40, now times by 4.
Help I pick you for brainlist
Answers
Answer:
a, bx squared
Step-by-step explanation:
The diagram shows a triangle.
What is the value of w?
Answers
Answer:
w=32
Step-by-step explanation:
33+115+w=180
148+w=180
w=180-148
w=32
Please answer correctly I’ll mark you brainlist!
Answers
Answer:
307
Step-by-step explanation:
You get the area from every side like so-
12 * 11= 132
12 * 5= 60
12 * 5=60
5 * 11 = 60
You add them all up to get 307.
I don't know if that's a 5 or a 3 on the side there but I can edit this if it's a different number.
A 50-foot ladder is leaning against a vertical wall and forms an angle of 75 degrees with the ground.
Answers
Answer:
height of the wall ] is 48.25ft
Step-by-step explanation:
Given data
Length of ladder= 50ft
Angle= 75°
We want to find the Height of the wall
Applying the SOH CAH TOA
sin ∅= opposite/hypotenus
sin 75= opposite/ 50
0.965= opposite/ 50
opposite=0.965*50
opposite= 48.25ft
Hence the height of the wall ] is 48.25ft