Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places
Answer:
[tex]x=23/\sqrt{6}[/tex],
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Surface area is 529 square meters
Generally the dimensions of the cuboid
[tex]v=x^y[/tex]
[tex]D=4xy+2x^2 =529[/tex]
[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]
[tex]V' =529-6x^2/4[/tex]
[tex]v'=0[/tex]
Therefore
[tex]529=6x^2[/tex]
[tex]x=\sqrt{\frac{529}{6} }[/tex]
[tex]x=23/\sqrt{6}[/tex]
Mathematically
[tex]v''=\frac{12x}{4}[/tex]
[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]
[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Therefore
[tex]x=23/\sqrt{6}[/tex]
and
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Determine whether the figures are similar.
Answer:
you don't have enough information, you would need one of the long lengths on the smaller parallelogram to determine similarity
Step-by-step explanation:
What is the slope for this??
Answer:
slope: [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
One Solution, Infinite Solutions, No Solution are the three options for both graphs
Answer:
The first one is infinite and the second one is one solution
84.5 divided by 6261.45
Answer:
74.1
Step-by-step explanation:
A community garden center host a plant giveaway every spring to help community members start there gardens. Last year the give away supported 50 families by giving away 150 plants. Based on this ratio hawa many plants will they give away this year in order to support 65 families
Answer:
195 plants (verified) ✅Step-by-step explanation:
We will use a proportion to solve this.
x/y = x/y
let x = the number of families in each case
let y = the number of plants in each case
Since we don't know the second y, we will leave that as y and solve for it.
50/150 = 65/y
Cross-multiply
50y = 9750
Divide
195 = y
Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.
50 (195) = 9750
9750 = 9750 ✅
Please help and get points!
Answer:
D
Step-by-step explanation:
Find the height of an equilateral triangle with side length 8.
Answer:
U need to just do
[tex] \sqrt{3 \div 4} a {}^{2} [/tex]
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
The segment from a vertex to the side opposite is a perpendicular bisector.
The equilateral Δ is divided into 2 right triangles with legs 8 and 4
let height be h, then using Pythagoras' identity
h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )
h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value
tell whether each question is true or false.
a.
[tex] \sqrt[3]{60} = 20 \: true \: or \: false[/tex]
b.
[tex] \sqrt[3]{64} = \sqrt{16 \:} true \: or \: false[/tex]
c.
[tex]25 = \sqrt[3]{125} \: true \: or \: false[/tex]
d.
[tex]12 = \sqrt[]{144} \: true \: or \: false[/tex]
e.
[tex] \sqrt{ \frac{4}{9} } = \sqrt[ 3]{ \frac{8}{27} } \: true \: or \: false[/tex]
Answer:
E
Step-by-step explanation:
Me sale a mi
Answer:
a is false, b. is true, c. is true, d. is true
Step-by-step explanation:
If X=3 and y=3, then x =?
Answer:
3
Step-by-step explanation:
You said x=3
Answer:
if the answer isn't 3 then its 1
which letters show the function rising?
A) A
B) E
C) A and E
D) A, B, and E
Answer:
c) a and e
Step-by-step explanation:
literally look at it b is just highest point, c is decreasing, d is lowest point... a is rising and e is also rising
1. Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? *
plz help and explain
2. Of the 50 players in a school band, 12% play a woodwind instrument. How many players play a woodwind instrument? * Both different questions
Answer:
14
Step-by-step explanation:
add the stuff together
The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.
Step-by-step explanation:
i think its X=2.75
Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.
Answer:
[tex]x=\frac{18}{7}[/tex]
Step-by-step explanation:
Simplify: 5w^5-(-4w^5)
Answer:
9w^5
Step-by-step explanation:
f(x) =2x squared - 5x - 3 g(x) = x squared + 6x - 1 what is h(x), if h(x) = g(x) - f(x)
Answer:
-2x^2 + x^2 +11x +2
Step-by-step explanation:
f(x) = 2x^2-5x -3
g(x) = x^2 + 6x -1
h(x) = g(x) - f(x)
x^2 + 6x -1 - 2x^2 +5x +3
-2x^2 + x^2 +11x +2
A rectangular stage is 6.25 feet long and 12 feet wide. What is the area of the stage in square feet?
Answer:
The area of the stage is 75 sq. ft. (ft²)
Step-by-step explanation:
Use " l * w = area"
6.25 * 12 = A
A = 75
60
70
50
Find angle x
Answer:
Where is the pictureeeeeeee
Answer:
picture??
Step-by-step explanation:
What is the value of x? (trignonometry) WILL give branliest if its delivered in time
Answer:
x+x+64=180
2x+64=180
2x=116
x=58
What will be the return value of =SUM({10;15;20;25;30})?
Answer:
The return value is 100
Step-by-step explanation:
Given
[tex]=SUM({10;15;20;25;30})[/tex]
Required
Determine the return value
In Microsoft Office Excel, the sum of values is represented as:
[tex]=SUM({a_1;a_2;a_3;.....;a_n})[/tex]
This is interpreted as:
[tex]SUM= a_1;a_2+a_3+.....+a_n[/tex]
So, in the case of:
[tex]=SUM({10;15;20;25;30})[/tex]
The return value is:
[tex]Value= 10 + 15+ 20 + 25 + 30[/tex]
[tex]Value= 100[/tex]
Hence, the return value is 100
Eleven more than four times a number is 23
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
Which is the measure of ∠XYZ?
Answer:
you get the measure of angle XYZ by adding the measures of angles XY? and ZY?
70 +35 = 105 degrees is the measure of angle XYZ
What separates the terms in this algebraic expression?
x + 3
HELPP MEEE
Answer:
I believe its the + symbol that separates it?
G**gle confirmed it I was right!!
100 - (25 + 40) +5 What is the answer?
Answer:
100-25=75 75+40=115 115+5=120
Answer:
The answer is 40.
Step-by-step explanation:
100 - (25+40) +5
100- (65) +5
35 +5
= 40
Select the interval where h is positive.
Pleaseee HELP
b
Step-by-step explanation:
Answer:
2<x<3
Step-by-step explanation:
I did it on khan
Helppppppppppppp plssssssssssss
Answer:
Derrick mistakenly combined the numbers adding it together but the numbers are not the same value to be combined. You cannot add yards and ft together.
Width = 55ft
Area = 4950 sq ft
Cost = $9900
Step-by-step explanation:
Derrick mistakenly combined the numbers adding it together but the numbers are not the same value to be combined. You cannot add yards and ft together.
You have to convert the yards to ft to add it to the other ft.
1 Yard = 3 ft
So the width is 18 yards 1 ft = 54ft + 1ft = 55ft
To calculate the area is L x W
The length is 30 yards. Convert that to ft = 90ft
So 90 x 55 = 4950 sq ft
At $2 per sq ft, you multiply the 4950 sq ft by $2
2 x 4950 = $9900
What is the image of (−8,−8) after a dilation by a scale factor of 1/2 centered at the origin?
Answer:
(-4,-4)
Step-by-step explanation:
Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.
-8 × 1/2 = -4
Solve the system of equations:
x+y=5
-4x-2y=-8
Which point on the graph below is the solution to the system of linear equations?
A. W
B. X
C. Z
D. Y
Answer:
the correct answer would be Y! i took it!! make me most brainlessly please!!!
Step-by-step explanation:
Please help I need this to pass. Please
Answer:
Step-by-step explanation:
1. Longest side = hypontenuse shorter sides = legs
2. x=-2
3. Something in data that differs significanttly from the other data.
how are you not knnow this
2) -2, checked
3) a data point on a graph or in a set of results that is very much bigger or smaller than the next nearest data point.
i have no idea on the fist one, sorry, but hope the rest helped
