a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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Which pair of functions are inverses of each other?
Answer: c ic the answer
c is the answer
Step-by-step explanation:
c is the answer
SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
Suzy needs to make a profit of at least $10 for her part of the bake sale. What is the least amount she can sell each of her cookies for in order to make a profit of at least $10?
Answer:
B.$0.43
Step-by-step explanation:
EASY
Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4
Answer:
It's the first option
Step-by-step explanation:
√3 according to calculator is 1.73205...
And if you check the options given, you'd see that the first option is the closest answer
got the picture since copying wont work
STEP1:
Equation at the end of step 1
(2²x³• 2) • x³
STEP2:
Multiplying exponents:
2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³
Equation at the end of step2:
2³x³ • x³
STEP3:
Multiplying exponential expressions :
3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶
Final result :
2³x⁶
identify if the graph represents quadratic function
Answer:
Graph #2 for sure, both axis are linear and the curve is a parabola all right.
On graph #1: I can't for the life of me read the units on the Y axis, so you have to check: if they're going 2000 4000 6000, then that is a parabola as wel. If they're increasing esponentially, ie 2000 4000 8000, then one of the two axis is logarithmical and the curve is no longer quadratic.
In a fraction, the value that represents the number of parts as compared to the whole is the ______
Answer:
Its the Denominator. Hope I helped please mark brainliest if you can and thanks! <3
Step-by-step explanation:
Answer:
21
Step-by-step explanation
OUI BONSEIUR
The sum of two numbers is 64 Twice the larger number plus five times the smaller number is 20. Find the two numbers
Answer:
The numbers are 100 and -36.
Step-by-step explanation:
Let x be the larger number
64 - x be the smaller number
x + ( 64 - x ) = 64
2x + 5 ( 64-x ) = 20
2x + 320 - 5x = 20
-3x = -300
x = 100
64 - 100 = -36
Could you please help me?!
Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
-the sum of angles in a rhombus is 360°
360 - 2*56 = 360-112 = 248
248 /2 = 124
∡B = ∡D = 124°
change 0.04608 to standard form
Answer:
Step-by-step explanation:
Shift deciaml point on right side before a non zero number which is 4:
=4.608×10^-2
Please help me with this question
Answer:
Step-by-step explanation:
3/5 = 0.6
0.6> 0.2
1/2 = 0.5
0.5 > 0.35
2/10 = 0.2
0.2 > 0.152
A loaf of bread that serves six people calls for 1 and 1/2 cups of all purpose flour and 5/6cups of chickpea flour you want to make a loaf of bread so that it will serve nine people how much flour all together will you need
Answer: 3 cups of flour
Step-by-step explanation:
Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
(-10, -8)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x, y)→(−x, y) .
so J(10, -8) becomes J'(-10, -8)
1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?
Answer:
254 seconds
Step-by-step explanation:
If 1 minute = 60 second
then
60 x 4 = 240 second
then add 14
240 + 14 = 254
Therefore, there are 254 second in 4 minutes and 14 seconds
8) What are the measures of angles x, y, and z?
39.2 is 95 percent of what?
You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for the red car?
Answer:
1) 28.4 miles per gallon
2) 34 miles per gallon
3) the red car
Step-by-step explanation:
Blue car:
Travels 35 1/2 miles on 1 1/4 gallons of gasoline
Red car:
Travels 27 1/5 miles on 4/5 gallons of gasoline
We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:
Blue car:
(35 1/2) / (1 1/4) = 28.4 miles per gallon
Red car:
(27 1/5) / (4/5) = 34 miles per gallon
The red car travels greater distance with 1 gallon of gasoline {and thats about it!}
The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.
(Show steps please)
Answer:
H=21ft
Step-by-step explanation:
Height=2•Area/Base
Area=126ft^2
Base=12ft.
H=2•126/12=21ft
H=21ft
Hope this helps :)
PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU
Which relation is a function
Answer:
The 1st one on the right is a function
Answer:
Parabola Graph (top-right)
Step-by-step explanation:
A graph represents a function given that none of the x-coordinates have more than one corresponding y-coordinates. Consequently, if a graph contains two or more different points with the same x-coordinate, then that graph does not represent a function.
An easier way of finding out whether a graph represents a function is through the vertical line test. In order to perform the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. A graph is a function if the edge of the ruler crosses the graph only once for every x -value.
Out of all the given options, the graph of an upward-facing parabola represents a function (top-right graph), as each vertical line contains only one point. Please see the attachment, where I performed the vertical line test.
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answer: should be 86°, not sure.
Step-by-step explanation:
6x + 5y = 1
y=(-3x -7)
Solve each system by substitution
Answer:
x=3,y=2
Step-by-step explanation:
What is the volume of a sphere with a surface area of 64 pi cm^2?
16 pi cm^3
21 1/3 pi cm^3
48pi cm^3
85 1/3 pi cm^3
Answer:
Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
300
O
3) What is the value of x?
69'
7090
7100
3D
Answer:
71°
Step-by-step explanation:
exterior angle = sum of two opposite interior angle
142°=2x°
x°=142°/2
x°=71°.
hope this helps you.
y = 147° ( Vertically opposite angles)
[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]
A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.
Answer:
40
Step-by-step explanation:
8x8 if 56 - 16 = 40
Can someone please give me the (Answers) to this? ... please ...
Slope is "change in y over change in x",
[1] [tex]\frac{-1 - 1}{-3 - 2}[/tex] = [tex]\frac{-2}{-5}[/tex]=
() [tex]\frac{2}{5}[/tex]
[2] [tex]\frac{4 - -5}{2 - 4}[/tex]=[tex]\frac{4 +5}{2 - 4}[/tex]
() [tex]\frac{9}{-2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2[tex] \: [/tex]
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2[tex] \: [/tex]
(2 , 2)Geometry help, please.
Answer:
c=20
Step-by-step explanation:
Use Pythagorean Theorem.
a squared plus b squared equals c squared.
12^2 + 16^2 = c^2
Now rearrange for c.
c = [tex]\sqrt{(12^2+16^2)}[/tex]
The answer is 20.
What is the domain of the relation?
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
Lee is creating a garden with the dimensions shown.
Lines are drawn inside a large triangle at each point to create smaller triangles. Line A B is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to A B is 36 degrees. Line Z Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to Z Y is 65 degrees. Line X Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to X Y is 79 degrees.
He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?
The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.
Mark this and return