A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
A rectangle is 64 cm long 40 cm wide find is area and perimeter
Answer:
Assuming the length to be x and the width to be y.
Since the area is 64cm, hence
x*y = 64 (equation 1)
Since the perimeter is 40cm, hence
x + x + y + y = 40
2x + 2y = 40
2(x + y) = 2(20)
x + y = 20 (equation 2)
Hence by using simultaneous equation,
x = 20 - y (equation 3)
Substituting equation 3 into equation 1, we get
(20-y)*y=64
20y-y^2=64
Tidying up the equation,
y^2 - 20y + 64 = 0
By using factorisation,
(y-16)(y-4)=0
y=16 or y=4
By substituting y=16 into equation 1,
x*16=64
x = 4
By substituting y = 4 into equation 1,
x*4=64
x=16
Therefore,
The length is 4 cm while the width is 16 cm.
OR
The length is 16 cm while the width is 4cm.
Hope this helps!!
Someone know this please help geometry if you are good at it
Answer:
Option A) outside
[tex]----------[/tex]
hope it helps..
have a great day!!!
(50 pts will mark brainliest) The perimeter of a rectangle is 48 inches. The width of the rectangle is 4 inches more than 3 times the length of the rectangle. What are the dimensions of the rectangle?
Answer:
The rectangle is 5 inches long by 19 inches wide.
Step-by-step explanation:
Let's start by listing what we know:
The perimeter of a rectangle is 48 inches.The width of the rectangle is 4 inches more than 3 times the length of the rectangle.Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.
[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]
Now, let's solve the system of equations using substitution:
[tex]2w + 2l = 48[/tex]
[tex]2 (3l + 4) + 2l = 48[/tex]
[tex]6l + 8 + 2l = 48[/tex]
[tex]8l + 8 = 48[/tex]
[tex]8l = 40[/tex]
[tex]l = 5[/tex]
The length of the rectangle is 5 inches.
Now, let's use this to solve for the width.
[tex]w = 3l + 4[/tex]
[tex]w = 3(5) + 4[/tex]
[tex]w = 15 + 4[/tex]
[tex]w = 19[/tex]
The width of the rectangle is 19 inches.
Let's check our work:
[tex]2w + 2l = 48[/tex]
[tex]2(19) + 2(5) = 48[/tex]
[tex]38 + 10 = 48[/tex]
[tex]48 = 48[/tex]
The results match, so our answer is correct.
The rectangle is 5 inches long by 19 inches wide.
Please help!
If the measure of O equals 69°, then what is the measure of N?
A.
81°
B.
21°
C.
111°
D.
69°
Answer:
D. 69°
Step-by-step explanation:
Opposite angles are congruent.
Answer:
N is also 69 so the an is D) 69
Step-by-step explanation:
The price of a stock went from $100 to $99.80. What was the percentage of decrease?
What is the surface area of the cylinder with height 5 m and radius 7 m? Round your answer to the nearest thousandth.
Answer:
It SHOULD be 527.79(m2) If I'm not mistaken.
Step-by-step explanation:
Answer:
7000
Step-by-step explanation:
7×1000=7000
5×5=25÷5=5-5=0
WILL GIVE BRAINLIEST!! do not answer if you dont know what the answer is.
3(n + 2) = 9(6 - n)
Qual a área total da pirâmide de Queóps ou Gizé?
Answer:
Step-by-step explanation:La Gran Pirámide de Giza (también conocida como la Pirámide de Keops o la Pirámide de Keops) es la más antigua y más grande de las pirámides del complejo piramidal de Giza que limita con la actual Giza en el Gran Cairo, Egipto. Es la más antigua de las Siete Maravillas del Mundo Antiguo y la única que permanece prácticamente intacta.
Los egiptólogos concluyen que la pirámide fue construida como una tumba para el faraón egipcio Jufu de la Cuarta Dinastía y estiman que fue construida en el siglo 26 aC durante un período de alrededor de 27 años. [3]
Inicialmente con 146,5 metros (481 pies), la Gran Pirámide fue la estructura más alta hecha por el hombre en el mundo durante más de 3.800 años. A lo largo de la historia, se eliminó la mayor parte de la cubierta de piedra caliza blanca lisa, lo que redujo la altura de la pirámide a los actuales 138,5 metros (454,4 pies). Lo que se ve hoy es la estructura central subyacente. Se midió que la base era de unos 230,3 metros cuadrados, lo que da un volumen de aproximadamente 2,6 millones de metros cúbicos (92 millones de pies cúbicos), que incluye un montículo interno. [4]
Las dimensiones de la pirámide, expresadas en unidades de medida del antiguo Egipto, eran de 280 codos de alto, una longitud de base de 440 codos, con un seked de 5+
1
/
2
palmeras (pendiente de 51 ° 50'40 ").
La Gran Pirámide se construyó extrayendo aproximadamente 2,3 millones de bloques grandes con un peso total de 6 millones de toneladas. La mayoría de las piedras no son uniformes en tamaño o forma y solo están vestidas de manera tosca. [5] Las capas exteriores se unieron con mortero. Se utilizó principalmente piedra caliza local de la meseta de Giza. Otros bloques fueron importados en barco por el Nilo: piedra caliza blanca de Tura para la carcasa y bloques de granito de Asuán, con un peso de hasta 80 toneladas, para la estructura de la Cámara del Rey. esto podría ayudar lo siento si no
Sam built a circular fenced-in section for some of his animals.The section has a circumstance of 55 meters.What is the Approximate area, in square meters, of the section? Use 22/7 for for pi
A) 240.625 m squared
B) 926.5 m squared
C) 2,376.79 m squared
D) 240.8 m squared
Answer:
i think option C is correct hope it helps
Answer:
C) 2,376.79 m squared
Step-by-step explanation:
What is the image point of (5,-4)(5,−4) after a translation left 4 units and down 3 units?
Answer:
(1,-7)
Step-by-step explanation:
1) (5,-4). 4 units to the left will be (1,-4)
2) (1,-4). 3 units down will be (1,-7)
What are the prime factors of 24 and 32?
Step-by-step explanation:
Prime Factors for 24: 2, 2, 2, and 3.
Prime Factors for 32: 2, 2, 2, 2, and 2.
Answer:
Prime Factors for 24: 2, 2, 2, and 3.
Prime Factors for 32: 2, 2, 2, 2, and 2.
Step-by-step explanation:
Let a line l be given in the coordinate plane. What linear equation is the graph of line l?
6
5
1
3-
3 2
2
1
0
&
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
-1
Answer:
y=2/7x+2.5
Step-by-step explanation:
The base of the parallelogram is 8 units and its height is half of the base.
Find the area of the parallelogram.
A. 32 sq. units
B. 12 sq. units
C. 24 sq. units
D. 4 sq. units
Answer:
A. 32 sq. units
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height.
In this case, the base is 8.
However, the height is unknown.
According to the word problem, the height is HALF the base.
To find half of the base, we divide it by 2.
8 / 2 = 4
4 is the height.
Lastly, multiply as usual.
Base ⋅ height:
8 x 4 = 32.
Therefore, the area of the parallelogram is 32 sq. units.
Write a first degree function g(x) and a second degree function h(x).
Answer:
g(x) = 6x - 8
h(x) = 2x^2 + 4x - 5
Step-by-step explanation:
g(x) = 6x - 8
h(x) = 2x^2 + 4x - 5
Divide £42 in the ratio 4:3
Answer:
Should be 24:18
Step-by-step explanation:
E
Add.write the answer as a mixed number in the simplest form.
Answer:
5[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
GCF of 4 and 6 is 12
1/6 = 2/12
3/4 = 9/12
4 + 1 = 5
2/12 + 9/12 = 11/12
5 11/12
Answer:
71/12Step-by-step explanation:
First you want to make the denominators in the fractions the same number. To do so, we need to multiply both the numerators and the denominators. Do this until the denominators are the same.
[tex]\frac{1}{6} *\frac{4}{4} = \frac{4}{24}[/tex]
[tex]\frac{3}{4} *\frac{6}{6} = \frac{18}{24}[/tex]
Now add
[tex]4\frac{4}{24} + 1\frac{18}{24} = 5\frac{22}{24}[/tex]
After adding, you need to multiply the whole numbers by the denominator and add that number to the numerator.
[tex]5*24=120[/tex]
[tex]\frac{120}{24} +\frac{22}{24} = \frac{142}{24}[/tex]
Finally simplify
[tex]\frac{142}{24} / \frac{2}{2} = \frac{71}{12}[/tex]
WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)
chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?
Answer:
Hi
Step-by-step explanation:
I have the same question, did you figure it out?
Solve using the tangent formula(real answers please)
Answer:
21.17
Step-by-step explanation:
tan= opposite/ adjacent
tan(36)= x/29
0.73= x/29
x= 21.17
Layla has 280 ounces of juice to fill 8-ounce cups. Which statement is true?
( I will love and comment if answered correctly and reasonable )
A - She can fill at least 35 cups.
B - She can fill fewer than 35 cups.
C - She can fill more than 35 cups.
D - She can fill no more than 35 cups.
Answer:
D
Step-by-step explanation:
she has 280 and no more so 280 divided by 8 is 35
Answer:
D is the correct answer
Step-by-step explanation:
280/8=35
Why does my app keep saying I’m not a member even tho it ends on 10/15/21
Answer:
Oof I have no idea 0_0
Step-by-step explanation:
I dont have brainly plus but I still have unlimited access...
I'm so sorry!!!
Have a nice day <3
NEED ANWSERS FAST
33-38
Find the value of x
Answer:
33. 18
34. 50
35. 50
36. 5
37. 1
38. 24
Step-by-step explanation:
Explanation found on photo! Hope it helped and my apologies for my messy work
please help meeeeeeeeeeee
Answer:
for example
Step-by-step explanation:
(1,3)
the one would go on the bottom.
and the 3 would go on the vertical side!
hope that helped! :)
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answer:
Quantity = 5 grapes
Step-by-step explanation:
Given the following data;
Quantity of grapes = 20
Cost = 48
To find the cost of each grape;
Cost of each grape = total cost/quantity
Cost of each grape = 48/20
Cost of each grape = $2.4
Now, to find how many grapes $12 can buy;
Quantity = total cost/cost of each grapes
Quantity = 12/2.4
Quantity = 5 grapes
Therefore, $12 can buy 5 grapes.
What is the decay factor in the exponential decay function y=a(1−r)^t
Answer:
(1 - r)Step-by-step explanation:
Given function:
y = a (1−r)^tHere we have:
y - future value, a- present value, (1 - r) - decay factor, t- number of decay periodsIn triangle MNO the measure of angle O =90 degrees the measure of angle M =66 degrees and NO = 60 feet Find the length of MN to the nearest tenth of a foot
Answer:
Length of MN = 65.68 feet (Approx.)
Step-by-step explanation:
Given:
Height of NO = 60 feet
Angle ∠M = 66°
Find:
The length of MN
Computation:
Given triangle is a right angled triangle
So,
NO is a perpendicular
MN is hypotenuse
Using trigonometry functions
Sin θ = Perpendicular / Hypotenuse
Sin 66 = NO / MN
0.9135 = 60 / Length of MN
Length of MN = 60 / 0.9135
Length of MN = 65.68 feet (Approx.)
Answer: approximately 65.6782 = 65.7
Step-by-step explanation:
SOLVE
FIND THE AMOUNT OF DISCOUNT WHEN THE ORIGINAL PRICE IS $44.00 AND THE DISCOUNT RATE IS 40%
WILL GUVE BRIANLIST
XXX
X
X
X
X
X
X
X
X
X
X
Answer:
$26.40
Step-by-step explanation:
40% of 44 is 17.6.
44-17.6 = 26.40
What is the length of PQ to the nearest hundreth place.(use 3.14 for *)
P
135° Q
A
12 in.
a
169.6 in.
56.5 in.
Ob
Ос
84.8 in.
Od
28.3 in.
Given:
The radius of the circle = 12 in.
The central angle of the intercepted arc PQ = 135 degrees.
To find:
The measure of arc PQ.
Solution:
The length of arc is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle.
Substituting [tex]r=12,\pi=3.14,\theta=135^\circ[/tex] in the above formula, we get
[tex]s=2(3.14)(12)\times \dfrac{135^\circ}{360^\circ}[/tex]
[tex]s=75.36\times 0.375[/tex]
[tex]s=28.26[/tex]
[tex]s\approx 28.3[/tex]
The measure of arc PQ is 28.3 in. Therefore, the correct option is (d).
3. The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?
O A the input when the output is zero
O B. the output when the input is zero
O C. the input when the output is 1
O D. the output when the input is 1
4. The equation for this graph is Output = 2 .
Answer:
Area: ½ × base × height
Perimeter: sum of side lengths of the triangle
of vertices: 3
Number of edges: 3
Internal angle: 60° (for equilateral)
Sum of interior angles: 180°
Step-by-step explanation:
plzzz help for brianly
Answer:
Add up the area of all the sides
Step-by-step explanation:
Surface area is the shell of a 3d shape, not the volume so you add the outside of the shape.
Hope this helps! :)
PLZ ANSWER I WILL MARK BRAINLIEST
Step-by-step explanation:
There is a difference between the numbers that is 6
So...
y=6x+5
Answer:
6x+5
Step-by-step explanation:
1 x 6=6+5=11