HELP FAST 100 POINTS
Calculate the perimeter of parallelogram ABCD. Show all work.
Answers
Answer:
Hello,
Step-by-step explanation:
[tex]|AD|^2=(3-(-1))^2+(0-(-1))^2=16+1=17\\\\|AB|^2=1^2+3^2=10\\\\\boxed{Perimeter=2*\sqrt{17} +2*\sqrt{10}}[/tex]
Answer:
2*√10 + 2*√17
Step-by-step explanation:
In order to find the perimeter we must find the length of each side
To find the length of the sides we must use the distance formula
Distance formula:
d = √ ( x2 - x1 )² + ( y2 - y1 )²
Where the x and y values are derived from the points of each side
First let's find the length of AB
Coordinates of A: (-1,-1)
Coordinates of B: (0,2)
* Define variables *
( Remember coordinates are written as (x,y))
x1 = -1
x2 = 0
y1 = -1
y2 = 2
Now to find the length of AB we simply plug in the values of x and y into the distance formula
d = √ ( x2 - x1 )² + ( y2 - y1 )²
x1 = -1, x2 = 0, y1 = -1, y2 = 2
* Plug in values *
d = √(0 - (-1))² + (2 - (-1))
If there are two negative signs in front of a number then the two negative signs cancel out and the sign changes to +
d = √(0+1)² + (2+1)²
Simplify addition
d = √(1)² + (3)²
Apply exponents
d = √1 + 9
Simplify addition
d = √10
So the length of AB is √10
One of the properties of a parallelogram is that the opposite sides are congruent.
So the opposite side of AB (CD) is also equal to √10
Next we need find the length of AD
We use the same process we used for finding the length of AB
Coordinates of A: (-1,-1)
Coordinates of D: (3,0)
*Define variables*
x1 = -1
x2 = 3
y1 = -1
y2 = 0
Plug in the values of x and y into the formula ( formula is d = √ ( x2 - x1 )² + ( y2 - y1 )² )
*Plug in the values of x and y )
d = √( -1 - 3 )² + ( 0 - (-1)²
Simplify subtraction and addition
d = √(-4)² + (1)²
Apply exponents
d = √16 + 1
Add
d = √17
So the length of AD is √17
Like stated previously opposite sides in a parallelogram are congruent so the opposite side of AD (BC) also has a length of √17
Now to find the perimeter,
The perimeter is the sum of the side lengths
Side lengths of the parallelogram shown:
AB = √10
BC = √17
CD = √10
DA = √17
Perimeter = √10 + √17 + √10 + √17 = 2*√10 + 2*√17
Related Questions
What number could be added to 0.40 mL for the level pf precision to be 0.01mL?
Answers
Answer:
-0.39mL
Step-by-step explanation:
Let x be the number.
The expression would be: 0.40 + x = 0.01
Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39
Therefore the answer is -0.39mL
1. In rhombus ABCD, the length of OC is 4.25 com. What is the length of OA?
A. 4.25 cm
B. 2.13 cm
C. 10.0 cm
D. 8.5cm
Answers
Answer: OA = 4.25cm
Step-by-step explanation:
As the diagonals of Rhombus bisects and divides the diagonal into two equal parts OA = OC
OA = 4.25 cm
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The question is in the picture
Answers
Answer:
[tex]10^{19}[/tex]
[tex]10^{-6} * 10^{25} = 10^{19}[/tex]
Step-by-step explanation:
10^46/ 10^-4 = [tex]10^{50}[/tex]
[tex]\sqrt{10^{50} } = 10^{25}[/tex]
Please help explanation if possible
Answers
that's the answer pls mark as brainliest
Answer:
x = 71 and y = 19
Step-by-step explanation:
Given the 2 equations
x + y = 90 → (1)
x = 14 + 3y → (2)
Substitute x = 14 + 3y into (1)
14 + 3y + y = 90 ( subtract 14 from both sides )
4y = 76 ( divide both sides by 4 )
y = 19
Substitute y = 19 into (1) for value of x
x + 19 = 90 ( subtract 19 from both sides )
x = 71
Larger number x = 71 ; Smaller number y = 19
A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?
PLEASE HELP I AM IN A RUSH!!!
Answers
Answer:
6,5
Step-by-step explanation:
Answer:
(6,0),(-2,8),(-2,0)
I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?
Answers
I have to return 400 notebooks.
Here, we have,
given that,
I order 700 notebooks by accident. I only need 3⁄7 of my order.
To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.
Let's calculate it step by step:
Calculate the number of notebooks you don't need:
4/7 * 700 = 400
we have,
I only need 3⁄7 of my order.
so, i need = 3/7 * 700
= 300
Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:
700 - 300 = 400
Therefore, you should return 400 notebooks.
To learn more on subtraction click:
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List the element of D= the set of prime numbers from 1 to 16
Answers
Answer:
ım not speak english because i'm turkish sorry
I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?
Answers
What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60
Answers
Answer:
m = -2
Step-by-step explanation:
First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)
18m + 7m = -60 + 2 + 8
Now we simplify to get this:
25m = -50
Now we divide -50 by 25 which gets us -2.
Therefore, m = -2
Hope this helps!
Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2
Answers
Answer:
64
Step-by-step explanation:
khan acadamy
Answer:
64
Step-by-step explanation:
The city soccer club has thirteen new members and fifty-two returning members. If they break up into teams of eleven players, how many complete teams would there be?
Answers
Answer:
5
Step-by-step explanation:
The easiest way to do this is to add the new members to the old and then divide by 11. Ignore the remainder.
13 + 52 = 65
65 / 11 = 5 with 10 left over. Ignore the 10. That's not a complete team.
The answer is 5
In the figure below, triangle ABC is similar to triangle PQR:
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
What is the length of side PQ?
48
24
40
18
Answers
Answer:
24
Step-by-step explanation:
Since the triangles are similar the side lengths must be proportional
2/12 = 4/PQ cross multiply expressions
2PQ = 48 divide both sides by 2
PQ = 24
what is the system is equations 5x+4y=8 2x-3y=17
Answers
Answer:
(4, -3)
Step-by-step explanation:
The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."
Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...
(x, y) = (4, -3)
__
You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.
3(5x +4y) +4(2x -3y) = 3(8) +4(17)
23x = 92 . . . . . simplify
x = 4 . . . . . . . . divide by 23
Substituting this value into the first equation, we have ...
5(4) +4y = 8
5 +y = 2 . . . . . . divide by 4
y = -3 . . . . . . . . subtract 5
The solution is (x, y) = (4, -3).
Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
e to search
o
La
Answers
Answer:
3/5
Step-by-step explanation:
The rise is 3 while the run is 5, so the slope = rise over run = 3/5.
Answer:
5/6
Step-by-step explanation:
slope = change in y over change in x
Find the arc length of the partial circle.
Answers
Answer:
arc length = 4π units
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 8 × [tex]\frac{1}{4}[/tex]
= 2π × 2
= 4π units ← exact answer
Answer : Arc length (L) = 12.56637
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
Answers
Answer:
please see the steps in the picture
what is the square root of 450
Answers
Answer:
[tex]15\sqrt{2}[/tex] or 21.2132
Step-by-step explanation:
[tex]\sqrt{450}[/tex]
[tex]\sqrt{15^{2} }[/tex] (root of a product is equal to the product of the roots of each factor)
[tex]\sqrt{15^{2} } \sqrt{2}[/tex] (simplify)
[tex]15\sqrt{2}[/tex] or ≈ 21.2132
Answer:
[tex]15\sqrt{2}[/tex] or 21.213
Step-by-step explanation:
For radical form: think of multiples of 450. Think of a pair that contains one perfect square, particularly the higher, the better . These 2 numbers are 25 and 18. 25 is the perfect square number since the two numbers that multiply to be 25 is 5 and 5.
Now take the perfect square of 25 and put it outside of the radical. The 18 remains inside: [tex]5\sqrt{18}[/tex]
Now, since 18 is a high number that needs to get reduced, do the same for 18 as we did for 450--find two numbers, one of which is a perfect square. These two numbers are 9 and 2.
Now take the perfect square of 9. This is 3. Take it out of the radical so that only the two remains inside. The 3 will now multiply with the 5: [tex]5*3\sqrt{2}[/tex]
Multiply 5 and 3 to get 15. The 15 stays outside the radical. Your answer is:
[tex]15\sqrt{2}[/tex]
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answers
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
To learn more about the compound interest rate;
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Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look
Answers
[tex] \sqrt{117} [/tex]
A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m
Answers
Answer:
b) 2.00 + 0.25m
Step-by-step explanation:
2.00per trip and $0.25 per mile = 2.00 + 0.25m
Answer:
see below
Step-by-step explanation:
a) 0.25m
This is the cost of the mileage alone
The cost is 25 cents per mile times m miles
b) 2.00 + 0.25m
This is the total cost of the trip
There is a 2 dollar flat rate fee plus the cost of the miles
2 dollars plus m miles at 25 cents per mile
What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
Answers
Answer:
a
Step-by-step explanation:
a
The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted
Answers
Answer:
The answer can be interpreted by the distance moved by each gallon :))
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa
Answers
Answer:
m=5/3
Step-by-step explanation:
Answer:
5/3 or 1 2/3
Step-by-step explanation:
First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2
Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.
Lastly, you divide by 3 to isolate the variable m.
And you get 5/3, which also equals 1 2/3
Write as an equation: Sara spent $2 more than Lauren, and together they spent $19.
Answers
Answer:
Equations:
a + b = 19
a = b + 2
a = Money that spent Laura
b = Money that spent Laureen
then:
(b+2) + b = 19
2b + 2 = 19
2b = 19-2
2b = 17
b = 17/2
b = 8.5
a = b + 2
a = 8.5 + 2
a = 10.5
Check:
10.5 + 8.5 = 19
Indicate all the possible values for the variable in each of the
expressions:
13–2x + V1-x
Answers
Answer: -3
Step-by-step explanation:
13−2x+V1−x
Combine −2x and −x to get −3x.
13−3x+V
1
The 1 is supposed to be under the V
1. What is the solution to 6m – 10 = 22 – 2m ?
Answers
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
idk i saw someone else say that lols
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
Answers
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
write 9/10 as a percentage
Answers
Answer:
90%
Step-by-step explanation:
Percent means out of 100
9/10 *10/10
90/100
90%
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Answers
Answer:
1B)[tex] 11[/tex]
1C)$ 5104$
1D) $A=3 B=-51$
1E) [tex] \frac{1}{8}[/tex]
Step-by-step explanation:
The above answer!
If Tan A=5/12 then find cot A, cos A and Sin A
Answers
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]
hypotenuse² = (opposite side)² + (adjacent side)²
= 5² + 12²
= 25 + 144
= 169
hypotenuse = √169 = √13*13 = 13
[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]