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.
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help plssssssssssssssss
Answer:
the answer is c
Step-by-step explanation:
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
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
PLEASE HELP!!! It’s about exponential functions. I will mark brainliest!!!!!!
1
A. (f = g)(x) = 2 - 4
.
true or false
Answer:
=-2
Step-by-step explanation:
x=-(4-2)
Answer:
false
hope this helps
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.
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:
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
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
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?
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.
Please give me the correct answer
Answer:
D
Step-by-step explanation:
i think the 4th is the answer
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
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.
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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helppp with the photo attached
Answer:
A
Step-by-step explanation:
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 :)
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!
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]
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.
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
2+2
Please help I’ve been try this all day long
Answer:
the answer is 4!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
LOL
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)
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 :)
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
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.
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)
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
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