The perimeter of the given rectangle is 32.2 cm.
What is a perimeter?The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The area of the rectangle is 64.8 square centimetres.
Area = l*w
l*w = 64.8
l = 64.8/w
Perimeter = 2(l+w)
= 2(64.8/w+w)
= 129.6/w +2w
We take the derivative of P and set it to 0,
dP = -129.6/w²+2
-129.6/w²+2 = 0
129.6/w² = 2
2w² = 129.6
w² = 64.8
w = 8.05
Now, we have,
l = 64.8/w
∴ l = 64.8/8.05 = 8.05
The perimeter = 2(l+w)
= 2(8.05+8.05)
= 2*16.10
= 32.2 cm
Hence, The perimeter of the given rectangle is 32.2 cm.
For more references on perimeters, click;
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Simplify the expression by arranging the steps in sequence, based on the order of operations 1/6 (30x 24)-1/7(63x-7x) please help fast!!!!
Answer:
if you Simplify the expression it is 112x
(or 120-8x if 30x 24 is multiplication)
PLEASE HELP!!! It’s about exponential functions. I will mark brainliest!!!!!!
5. The first time that Jordan ran for class president, he recelved 10% of the votes. This year, when
he ran again, he received 6 times as many votes as he did when he ran the first time. There
were a total of 180 votes in each election. How many votes did Jordan receive this year
HURRY PLEASE
Answer:
108 votes
Step-by-step explanation:
There were 180 votes in the election and Jordan received 10% of them.
180 × 0.10 = 18
Jordan received 18 votes the first time. This year, he received 6 times as many votes.
18 × 6 = 108
Jordan received 108 votes this year.
Hope that helps.
Please help me with this question.
Answer:
Brand A price per diaper: 0.3
Brand B price per diaper: 0.3
Brand B is the better buy.
This can be found by taking the price of each brand and dividing it by the amount of diapers in each pack.
ex:
$11.49 / 36 = $0.32 (then round to nearest tenth)
Fraction w/4= 12
What is the value of w
Answer:
48
Step-by-step explanation:
12*4=w=48
1
A. (f = g)(x) = 2 - 4
.
true or false
Answer:
=-2
Step-by-step explanation:
x=-(4-2)
Answer:
false
hope this helps
I give 20 score! Find the volume
Answer: 381
Step-by-step explanation:
Lets solve this in two parts, first the bottom one, then the upper one
Bottom one is a rectangle so 3*7*16=336
The one above is a triangular prism or something. You use base times height to find it. The base is 3*5/2=7.5
7.5 times height of 6 is 45.
Now add the 2 together to get 381
2+2
Please help I’ve been try this all day long
Answer:
the answer is 4!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
LOL
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
PLEASE ANSWR I WILL GIVE 50 POINTS!!!!!
Which expression is equivalent to (1/ sqrt of y) ^-1/5 ?
Step-by-step explanation:
sqrty = y^(0.5)
1 / sqrty = y^(-0.5).
-1/5 = -0.2.
Therefore we have (1 / sqrty)^(-1/5)
= [y^(-0.5)]^(-0.2)
= y^[(-0.5)(-0.2)] (Law of indices)
= y^0.1
= 10th square root of y. (2nd option)
Answer:
1/sqrt 10th y
Step-by-step explanation:
1/(sqrt9)
19/76sprt
What is the degree of the polynomial 2x6+5x3−x2+100?
Answer: 25x+10?
Step-by-step explanation:
Answer:
uikjhukcopllpp
Step-by-step explanation:
pp98ii9ijjhhhjigctuicico8
Graph the direct variation that includes the point (5,4). write the equation of the line.
How do I solve this?
Answer:u have to be missing something
Step-by-step explanation:
Answer:
does the question have a graph or is it just the word problem?
here is the answer if its just the word problem
Step-by-step explanation:
y= -5x+4
hope I helped :)
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?
A 5
B 5.5
C 6
D 6.5
Answer:
It is also not B.
Step-by-step explanation:
I think that it might be D then.
50% chance lol
helppp with the photo attached
Answer:
A
Step-by-step explanation:
caterer uses this table to help customers estimate how much it costs to provide and serve food at their events for 5 to 25 people
Answer:
For every person added, the total cost increases by $6.50.
Step-by-step explanation:
Please give me the correct answer
Answer:
D
Step-by-step explanation:
i think the 4th is the answer
What basic fact can you use to divide 2,800 by 7
Step-by-step explanation:
2800/7 = 400, ,
please you can see the upper paper which
can to solve this division math
Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
Oc. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]
SUBMIT
Answer: D
Step-by-step explanation:
The best use of the associative and commutative properties to simplify the expression 2.4 + 13 - 5 + 3.6 + 7 would be:
D. (2.4 + 3.6) + [13 + 7 + (-5)]
By applying the associative property, we can group the numbers in a way that allows for easier computation.
Here, we group 2.4 and 3.6 together and 13, 7, and -5 together. This allows us to simplify each group separately and then add the results together.
Calculating the groups:
(2.4 + 3.6) = 6
[13 + 7 + (-5)] = 15
Now, we add the results together:
6 + 15 = 21
So, the simplified expression is 21. Therefore, option D provides the best use of the associative and commutative properties to simplify the given expression.
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The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter bottles, which were checked for calories, containsa mean of 255 calories with a standard deviation of 5.6 calories. Assume that the calorie count has a normaldistribution. Does the sample information indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
please show work i would appreciate it
Answer:
a) x = 14
b) The perimeter of △QRS is 77 units.
Step-by-step explanation:
a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.
Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.
Hence, △RTV ~ △RQS.
According to the Triangle Proportionality Theorem:
[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]
Hence, we can substitute all values that we know from the diagram:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]
After getting this information, all we have to do is simplify and solve the equation:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]
[tex]3(2x - 2) = 2(2x + 11)[/tex]
[tex]6x - 6 = 4x + 22[/tex]
[tex]6x - 4x = 22 + 6[/tex]
[tex]2x = 28[/tex]
[tex]x = 14[/tex]
To verify this answer, we can plug in the value of x into the equation:
[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]
[tex]\frac{26}{39} = \frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{2}{3}[/tex]
Hence, after verification, we can get the answer: x = 14.
--------------------------------------------------------------------------------------------------------------
b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.
Hence, 2(14) - 2 + 13 + 17 + 21
= 28 - 2 + 13 + 17 + 21
= 77 units
Therefore, the perimeter of △QRS is 77 units.
Hope this helped!
One way to determine the surface area of this cylinder is to -
Answer:
Option (A)
Step-by-step explanation:
Surface area of an object = Area of all the surfaces of the object
So, the surface area of the cylinder = Area of the two circular bases + Rectangular area around the surface of the cylinder
= πr²+ πr² + (2πr)h
= 2πr(r + h)
Therefore, Option (A) will be the correct option.
Answer:
A
Step-by-step explanation:
I did the quiz
what is the value of x in the eqation 5[x-6] = 2 [x+3]
Answer:
x = 12
Step-by-step explanation:
5x - 30 = 2x + 6
3x = 36
x = 12
Answer:
x=12
Step-by-step explanation:
1) distribute values:
5x-30=2x+6
2) add 30 to both sides
5x=2x+36
3) subtract 2x from both sides
3x=36
4) divide by 3
x=12
I need help with my math homework
Answer:
1/3
Step-by-step explanation:
Answer:
m=3
Step-by-step explanation:
m= 7-1= 6
5-3= 2
then you simplify
3
m= 1 which also equals 3
I am not very good at explaining on this but i hope this helps :)
Factorise 3x to the power of 2 + xy
Answer:
x • (3x + y)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x to the power of to +xy= x (3x+y)
solve the following question
9514 1404 393
Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, w? What is the value of w?
Answer:
you should multiply 2 by 2.1 with that you would get the width of the dog run.
The width would be 4.2
Step-by-step explanation:
Answer:
W = 4.2 ft
Step-by-step explanation:
By what number must we multiply 5 to get the actual length 10.5 feet?
5x = 10.5 ft, or x = 2.1 ft, where x is the length
The following is true: 5 : 2 = L : W, or
5 L
----- = -----
2 W
Since we have L (10.5 ft) and need W, we solve the above equation for W:
5W = 2L, so that W = (2/5)L
Since L = 10.5 ft, W must be W = (2/5)(10 1/2 ft)
2 21
Then W = --------- * -------- ft = 21/5 ft = 4.2 ft W = 4.2 ft
5 2
IM DOING THIS IN CLASS HELP! Yesterday, there was 4 inches of snow on the ground. It snowed overnight and now there is 6 inches of snow on the ground. What integer represents the amount of snow on the ground now
Answer:
6
Step-by-step explanation:
6 inches of snow is an amount above ground, so it is represented by a positive integer.
Answer: 6
Answer:
Firstly, it was 4 inches
After snowing it becomes (4+6)= 10 inches;
From ground it is 10 inches of snow
So, 10 inches is the right answer.
A polynomial is given below.
3x6 + 2x4 – x3 + 7
Which statement must be true about this polynomial?
Answer:
Step-by-step explanation:
Well since the polynomial is of not an even or odd sequence like the polynomial in the question is
[tex]3x^6+2x^4-x^3+7\\[/tex]
like the degree 6 is even the degree 4 is even but the degree 3 is odd so since the sequence breaks the polynomial above has no real x-intercepts meaning it has complex roots.
help plssssssssssssssss
Answer:
the answer is c
Step-by-step explanation: