A figure is composed of two cubes. The side lengths of the larger cube are twice the side length of the smaller cube. If the total volume of the cubes is 1,944 m3, what are the side lengths of the two cubes? Enter the smaller dimension first
The side lengths of the two cubes are 6 meters and 12 meters respectively.
How to calculate the volume of a cube?Mathematically, the volume of a cube is calculated by using this following formula:
Volume = m³
Where:
m is the side lengths of a cube.
Translating the word problem into an algebraic expression, we have;
m³ + (2m)³ = 1944
m³ + 8m³ = 1944
9m³ = 1944
m³ = 1944/9
m = ∛216
m = 6 meters.
For the bigger cube:
2m = 2 × 6
2m = 12 meters.
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The sphere of mass m and radius r is rigidly attached to a thin rod of radius r that passes through the sphere at distance 12r from the center. A string wrapped around the rod pulls with tension t.
The expression for the angular acceleration of the sphere will be 20Tr/13MR².
What is angular acceleration?It should be noted that angular acceleration simply means the time rate of change of the angular velocity.
From the information given, I = (2/5(MR² + M(R/2)² = MR²(2/5 + 1/4) = 13MR²/20
The torque (Q) will be Tr. Therefore, the expression for the angular acceleration of the sphere will be:
= Q/I
= Tr/13MR²/20
= 20Tr/13MR²
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Find the value of the expression. Show your work. 15×x if x=5
Answer:
75
Step-by-step explanation:
if x = 5 then 15 × x = 15 × 5.
15 × 5 is 75
A sequence can be generated by using an=an−1+2, where a1=8 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
a) 8, 10, 12
b) 8, 16, 32
c) 2, 16, 128
d) 2, 10, 18
The sequence an=an−1+2 is an arithmetic sequence
The first three terms in the sequence are (a) 8, 10, 12
How to determine the first three terms?The sequence is given as:
an=an−1+2
Where:
a1 =8
Start by calculating a2 using:
a2=a1+2
This gives
a2=8+2 = 10
Calculate a3 using:
a3=a2+2
This gives
a3=10+2 = 12
So, we have:
a1 = 8, a2 = 10 and a3 = 12
Hence, the first three terms in the sequence are (a) 8, 10, 12
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research shows that the probability of a person being right handed is 0.77 how many left handed people would you expect in a population of 25000?
Answer:
Left handed ppl per 100 = 23
Left handed ppl per 25000 = 23 x 250
Answer = 5750
pls mark as brainliest
How do I find the SURFACE AREA of the shape below.
Area of 2 triangles = 2*(1/2)*6*8
= 48 square ft
Area of 1 rectangle = 10*5
= 50 square ft.
Area of 2nd rectangle = 5*6
= 30 square ft.
Area of 3rd rectangle = 5*8
= 40 square ft.
Surface area of figure = 40+30+50+48
= 168 square ft.
What is the surface area of 20cm 7cm 6cm
Answer:
840
Step-by-step explanation:
20 x 7 = 140
140 x 6 = 840
9.4. During the course of a normal workday, Sandra and Bob interact with each other more than they do with anyone else. Bob works more closely with Gloria than he does with Joe. Sandra does not work much with Joe but she does work somewhat more with Gloria. If the offices of these individuals were arranged in a linear fashion, one following the other and Sandra's office was first, in what order should they be arranged for maximum communication efficiency?
(1 Point) A. Sandra-Bob-Joe-Gloria B.Sandra-Gloria-Bob-Joe C. Sandra-Gloria-Joe-Bob D.Sandra-Bob-Gloria-loe
10. Reason (2 points)
The ordering that will be important to illustrate maximum communication efficiency is D. Sandra-Bob-Gloria-loe.
What is communication?It should be noted that communication simply means the passing of information from the sender to the receiver.
In this case, ordering that will be important to illustrate maximum communication efficiency is Sandra-Bob-Gloria-loe. This is because Sandra communicates more with Bob than anyone else.
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Hi! I was wondering if i got the right answer for this question?
I got 3301.2
answer:
i also got what u got 3301.2
Need help with at least these questions. Please. I can give 100 points and brainliest to the person who gives a VALID answer
Answer:
360\12=16.36
Step-by-step explanation:
formula=22/7*6*6*10=16.36
What fraction of the class has the number of pets that occurs most often? Express your answer as a percent, too. *
Answer:
i dont think you have included all the info of the question so if you do that i might be able to help you :)
Step-by-step explanation:
A function f(x) has x-intercepts of –3 and –5. what is the constant term in the function? f(x) = x2 8x
The constant term in the function f(x) = x² + 8x + 15 would be 15.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
A function f(x) has x-intercepts of –3 and –5 means
f(x) = (x+3)(x+5)
f(x) = a(x + 3)(x + 5), here a is a multiplier
let a = 1 then
f(x) = (x + 3)(x + 5) (expand factors)
f(x) = x² + 8x + 15
thus, 15 is the constant term
Learn more about quadratic equations;
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Oak Street and Elm Street run parallel to each other. When Main Street intersects them, it forms interior ∠4, measuring 50°. What is the measure of ∠8?
A. 60°
B. 50°
C. 90°
D. 130°
Answer:
is B). 50
Step-by-step explanation:
HELP ASAP....PLS NO LINKS AND NO JOKING
on a computer assembly line, the company's goal is to have no more than 2% errors there are 220 computers assembled each day. the inequality representing the relationship between the number of computers assembled and errors (e) is shown below
e220 <0.02
how many computers out of 220 can have errors and stay within the company's of no more than 2% errors
A. e<=2
B. e<=4
C. e<4
D. e<2
Hi maryanne!
Answer:
C. e<4
Step-by-step explanation:
Since [tex]\frac{e}{220} \leq 0.02[/tex]
e [tex]\leq[/tex] 0.02 x 220
e [tex]\leq[/tex] 4.4 (multiply 220 both sides)
e [tex]\leq[/tex] 4.4
Thefore it can be e [tex]\leq[/tex] 4
Which expression is equivalent to 36 a minus 27?
Answer:
9(4a minus 3) is equivalent to 36a minus 27.
Can someone please give me the awnser?
Write and solve a proportion to answer the question. Round the answer to the nearest tenth.
What percent of 36 is 20?
Answer:
7.2
Step-by-step explanation:
36 divided by 5 = 7.2
7.2 times 5 = 36.
If 5 people receive 8 brownies, what is the fraction form of how many brownies each person will equally receive
please help me on this one and hurrry please
Answer: 10/30
Step-by-step explanation:
There are 30 cards and 10 - 10= 0. So it’ll just be 10/30
2.1. A researcher observed the vehicles passing through a toll booth during a five-minute period. She
observed 14 trucks, 27 SUV'S, 17 compact cars, 22 mid-size cars, and 8 luxury
cars pass through the toll
Based on the data, which percentage is closest to the relative frequency that a vehicle passing through
booth.
the toll booth is an SUV?
Answer:
B- 31%
Step-by-step explanation:
sorry i don’t have the explanation, but i hope i helped
30 POINTS!!!!!!!!!
Which of the following tables represents a function?
A.
B.
C.
D.
PLS ANSWER FAST AND CORRECT!!
Answer:
B
Step-by-step explanation:
Each input is related to exactly one output, and it's progressing in a linear fashion.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved. He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.
The two times Tyler selects a shirt from the suitcase are __________ events.
The probability that he selects a short-sleeved shirt both times is ________.
options for blank 1: independent, dependent
options for blank 2 :15/28, 9/16, 3/4, 9/14
Answer:
independent
9/16
Step-by-step explanation:
The events are independent events since he puts the first shirt back
P( short sleeve) = number of short sleeve)/ total
= 6/8 = 3/4
P ( short sleeve, short sleeve) = 3/4 * 3/4 = 9/16
Look at △ABC and △DEF on this coordinate grid.
Which transformation shows that △ABC and △DEF are similar?
A
a dilation of △ABC with a scale factor of 2
B
a translation of △ABC 1 unit up and 3 units to the right
C
a dilation of △ABC with a scale factor of 12
D
a translation of △ABC 3 units up and 3 units to the right
Answer:
Step-by-step explanation:
I will love to help but the answer sorry... :(
What criteria can you use to show these two triangles are congruent?
choice:
SSA
AAS
HL
SAS
Answer:
SAS
Step-by-step explanation:
You can use SAS (Side Angle Side) as they are in the correct order to use the Therom in order to prove they are equal.
If Donald can run 1/3 of a mile in one minute, how much
will he run in one day?
Which of the following is a Pythagorean triple?
Answer:
C: 8, 15, 17
Step-by-step explanation:
The easiest way to do this is simply to memorize the first few Pythagorean triples. It saves time. But it can also be hard to remember that. To see if something is a triple...
1. [tex]a^{2} + b^2=c^2[/tex]. This means square the first one, the second and add. Then square the last one. The sum of the first two with the last one should be the same.
2. For this to work, they have to be in order from least to greatest. All of these are.
3. Let's fill in the equation:
8^2= 64.
15^2= 225.
225+64= 289
17^2= 289.
It matches! It's a triple.
Do you think using a dot plot would be a good way to organize and analyze the data
in the Summer Olympics table?
Answer:
2:1
Step-by-step explanation:
The U.S. has twice as many gold medals as the Russian Federation. hope it helps :)
Find the value of z.
Answer:
z=6 sqrt 2
Step-by-step explanation:
Find y, by using the pythagrean theorem, 9=1+0, y= 2sqrt 2. Then plug y in to find z. 2srt ^2+8^2=z^2, 8+64=72=6sqrt2
a model of a skyscraper is 6 inches tall if the model is scale 1 inch : 200 feet, the skyscraper is ___ feet tall
Answer:
1200 feet
Step-by-step explanation:
6 inches times 200 feet = 1200 feet tall
Answer:1200
Step-by-step explanation:
oh no :c, i ment to put the first answer as a 5/5 but he is correct for me!
What is the mode of this data set?
{2, 2, 3, 3, 4, 4, 4, 4}
Enter your answer in the box