The smallest perimeter and dimensions of rectangle having area of 169 [tex]inches^{2}[/tex] is 52 inches , length 16 inches and breadth also 16 inches.
Given that the area of rectangle is 169 [tex]inches^{2}[/tex].
We have to find the smallest perimeter and dimensions of the rectangle.
let the length of rectangle be x inches and breadth be y inches.
We know that area of rectangle is the product of its length and breadth. So,
Area=xy
169=xy
y=169/x
Perimeter of rectangle =2(x+y)
Put the value of y=169/x in the perimeter.
P=2(x+169/x)
P=2x+338/x
Differentiate both sides with respect to x.
dP/dx=2-338/[tex]x^{2}[/tex]
Again differentiate it with respect to x.
[tex]d^{2} P/dP^{2}[/tex]=676/[tex]x^{3}[/tex]
Because the second derivative is greater than 0 so the perimeter is minimum.
Put dP/dx=0 to get the value of x.
dP/dx=0
2-338/[tex]x^{2}[/tex]=0
2=338/[tex]x^{2}[/tex]
[tex]x^{2}[/tex]=169
x=[tex]\sqrt{169}[/tex]
x=13
Put the value of x in y=169/x
y=169/13
=13
To calculate the perimeter, put the values of x and y in P=2(x+y)
P=2(13+13)
=2*26
=52 inches.
Hence The smallest perimeter and dimensions of rectangle having area of 169 [tex]inches^{2}[/tex] is 52 inches , length 16 inches and breadth also 16 inches.
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Which terms can be combined in the expression below? Select three options.
PLEASE HELP 50 POINTS
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
This doesnt make sense
Step-by-step explanation:
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
The population grew by 12600 people.
Step-by-step explanation:
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
The population grow from 2010 to 2015 is 12600
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Total population in 2010 = 180000
From 2010 to 2015, the population grew by 7%.
Then, the population grew from 2010 - 2015
= 7% of 180000
= 7/100 x 180000
= 7 x 1800
= 12600
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help today hi have to finish this and I have like 21 more assignments to go
Answer:
Characteristics? I don't know
Step-by-step explanation:
Answer:
I'm answering so you can give him brainliest!
Step-by-step explanation:
3/4x+3-6/2x-1 algebric fractions
Answer:
-9x-8/4
Step-by-step explanation:
Find x and y
(45-45-90 formula)
(It’s not 5.6 for x and y I got that wrong)
I’ll mark as brainliest!!
Answer:
x = y = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )
8 × cos45° = x , then
x = 8 × [tex]\frac{\sqrt{2} }{2}[/tex] = 4[tex]\sqrt{2}[/tex]
The third angle in the triangle = 45° ( sum of angles in triangle )
Then the triangle is isosceles with congruent legs, thus
x = y = 4[tex]\sqrt{2}[/tex]
You're given a side length of 8 centimeters. How many equilateral triangles can you construct using this information
Answer:
1 equilateral triangle
Step-by-step explanation:
Given
Shape: Equilateral Triangle
Side length = 8cm
Required
Determine the number of triangles
From the question, we understand that the triangle is equilateral and the length of a side is 8cm.
This implies that the length of other sides will also be 8cm.
So, only one triangle can be constructed and their side lengths is 8cm.
1.45x + 1.25y =70.85
x + y = 53
Answer:
Your answer is
y= 30
x= 23
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
Write 7,062.01 in expanded form
Help me please!! An emergency!!
A polynomial equation with rational coefficients has the roots 5, sqrt6, 3, -sqrt7. Find two additional roots.
Thank you!
Given:
A polynomial equation with rational coefficients has the roots [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].
To find:
The two additional roots.
Solution:
According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.
It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.
By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.
Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].
Which expression is equivalent to (1/16)^-4
Answer: =65536
Step-by-step explanation: hope this help
Answer: There are a few but: (-16)^4 is my first anwser.
Step-by-step explanation:
If you have a negative number in the parathesis you'll usually make it 1 over the number in this case 1/16 can be written as -16. That way the negative 4 can become positive four once you change the 1/16 to -16.
I hope that makes sense.
What is the equation of this trend line? Enter answers by filling in the box
Answer:
N= 110 M+ 55?
I'm just trying my best to help you
best answer will get brainlist
Answer: 482x-4y%742
Step-by-step explanation: if you put the compexules and then you suntract then times the sublactus
If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.
Answer:
x = 6
y = 13
Step-by-step explanation:
since DE and JK are congruent, they are both 18
to find 'y':
3y - 21 = 18
3y = 39
y = 13
DF and JL are diagonals that are congruent so:
9x - 23 = 7x - 11
2x = 12
x = 6
16 üssü 5 sayısının 1 ➗ 8 i kaçtır?
Answer:
The answer is 131072
Step-by-step explanation:
[tex] \frac{1}{8} \times {16}^{5} = 131072[/tex]
Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain
The properties of a parallelogram:
1. opposite sides are parallel
2. opposite sides are equal in length
3. opposite angles are equal
4. diagonals bisect each other
if XN=NZ and NY=NW, then
XY=WZ and XW=YZ because the corresponding angles are equal = corresponding sides are equal
The opposite sides are parallel as well because the diagonals are equal (the vertical opposite angles are equal)
This was a word pasta but hope this helps
The opposite sides are parallel because the diagonals are equal.
Properties of parallelogramFrom the given parallelogram, you can see that the diagonals bisect each other.
Also if XN=NZ and NY=NW, then XY=WZ and XW=YZ show that the corresponding angles are equal
Also from the diagram, the opposite sides are parallel because the diagonals are equal (the vertical opposite angles are equal).
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Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.
Find a coterminal angle to 626 degrees
Answer:
266
Step-by-step explanation:
A school custodian discovered a leak in a water pipe. The custodian found that 2,432 fluid ounces of water had leaked out. How many gallons of water is this? Use the conversion factor 1 gallon 128 fluid ounces.
Answer: 19 gallons
Step-by-step explanation:
Conversion factor is 1 gallon is to 128 fluid ounces.
If 2,432 fluid ounces leaked out, to find out the amount of gallons this was, you need to divide the fluid ounces by the number of fluid ounces in a gallon. This is what is done when moving from a smaller unit to a larger one.
= 2,432 / 128
= 19 gallons
can u guys plzzzzzzzzzzzz help
Answer: p =2
Step-by-step explanation: Look at how many people I helped, trust me
cuanto es 1/6 - 1/8 =
Answer:
1/24 ≈0.042
Step-by-step explanation:
Answer the photo below thanks
Answer:
6x60=360
Step-by-step explanation:
60
Vinay bought a flat for ₹ 4,50,000. He spent ₹ 10,000 on its paintings and repair. Then he sold it for ₹ 4,25,500. Find his gain or loss and also its percent.
Step-by-step explanation:
hence you got the answer
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then sorry
72 paper clips to 63 paper clips
Answer:
72-63=9
9/72=13%
13% IS .13 SO TENTH IS .1
I AM NOT SURE ABOUT THE TENTH
Step-by-step explanation:
Will give brainliest please answer please
Answer:
E,F,B
Step-by-step explanation:
Answer:
A,C,E
Step-by-step explanation:
12/21= .571428571
4/7, 16/28 and 8/14 all result in this decimal
Whoever get this right, gets a free hamster
Answer:
it's C
Step-by-step explanation:
pink or purple hamster plz :D
omg paint strips, that's the way to go
will give brainliest-need asap- real answers only or you will be reported
Answer:
33
Step-by-step explanation:
The greatest common factor is 3 and the least common multiple is 30.
30 + 3 = 33
Answer: C
Step-by-step explanation: 30
Construct quadrilateral with the measurements given below:
Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm
and AC = 7 cm
Answer:
Cevap A şkkı
İyi dersler
Find all x-values for which f ( x ) = 2 for the function below.
{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 1 ), ( 2, - 3 ) }
how would i solve this please help
Answer:
x = -3Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
in a survey of 1500 people who owned a certain type of car, 1050 said they would buy that type of car again. what percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
Since 1050 were satisfied.....1050/1500=.7 tun into percent u get 70%
can someone help me pleaseee :)
u have to make the questions become y = mx + b
Answer:
3. 8y= -7x -12
4. -3y= 4x -12
5. 7y= -2x +4
Do you want me to do the rest?
did you got it??
The rest are:
6. -3y =6x +12
7. -10y= 5x+20
8. 4y=2x +12