The diagram shows a cuboid.
6 cm
The height of the cuboid is 6 cm.
The volume of the cuboid is 90 cm.
What is the area of the shaded face?
Answers
Answer:
length x width x 6 = 90
area of shaded face = 15
The area of the shaded region is 15 square cm.
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of rectangle\(Area = lb\)
Where,
l is the length of the rectangle.
b is the breadth of the rectangle.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid.
Formula for volume of cuboidvolume = length × breadth × height
According to the given question.
We have,
Height of the cuboid = 6cm
Volume of the cuboid = 90 cubic cm.
⇒ length × breadth × height = 90
⇒ length × breadth × 6 = 90
⇒ length × breadth = \(\frac{90cm^{2} }{6cm}\)
⇒ length × breadth = 15 square cm....(i)
Since, the area of shaded region = length × breadth
From (i)
Length × breadth = 15 square cm .
Hence, the area of the shaded region is 15 square cm.
Find out more information about volume and area here:
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Related Questions
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $320 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $9020. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
2. One can guess and check for this, so for instance,
$1290 * 6 = $7740
and,
$320 * 4 = $1280
Finally, $7740 + $1280 = $9020
A quick note: Sarah probably purchased more first-class tickets than coach tickets because $1920 is a lot more than $320. Meeting her budget total would most likely mean more first-class seats
4 liters of 2% milk contains 8% cholesterol. A container of skim milk contains 2% cholesterol. How many liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol?
Answers
To solve this problem, we can set up an equation based on the amount of cholesterol in the mixture.
Let's assume that x liters of skim milk need to be added to the 4 liters of 2% milk.
The amount of cholesterol in the 4 liters of 2% milk is 8% of 4 liters, which can be calculated as (8/100) * 4 = 0.32 liters of cholesterol.
The amount of cholesterol in the x liters of skim milk is 2% of x liters, which can be calculated as (2/100) * x = 0.02x liters of cholesterol.
The total amount of cholesterol in the mixture is the sum of the cholesterol in the 2% milk and the skim milk, which should be equal to 4% of the total volume of the mixture. So, we have:
0.32 + 0.02x = (4/100) * (4 + x)
Simplifying the equation:
0.32 + 0.02x = 0.04(4 + x)
0.32 + 0.02x = 0.16 + 0.04x
0.02x - 0.04x = 0.16 - 0.32
-0.02x = -0.16
Dividing both sides by -0.02:
x = (-0.16) / (-0.02)
x = 8
Therefore, 8 liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol.
To solve this problem, we can use the following equation:
4+x4×8+x×2=4
This equation represents the ratio of the total cholesterol to the total volume of the mixture. The numerator is the sum of the cholesterol from the 2% milk and the skim milk, and the denominator is the sum of the volumes of the 2% milk and the skim milk. The equation is equal to 4 because we want the mixture to have 4% cholesterol.
To find x, we can simplify and solve for x:
4+x32+2x=4
32+2x=16+4x
16=2x
x=8
Therefore, we need to add 8 liters of skim milk to the 4 liters of 2% milk to create a mixture with 4% cholesterol.
Find the degree of -5w^3-4w^2+7w+16
Answers
Answer:
3
Step-by-step explanation:
the degree is the highest power of the variable.
Xenophon uses a reference to the Council of the Ephori that he does not further explain. Research and use reference works to identify the council and its purpose. Be sure to consider the point of view and evidence during your research.
Answers
Answer: Below
Step-by-step explanation: Xenophon, an ancient Greek historian, philosopher, and soldier, often referred to historical events and institutions without providing detailed explanations. In order to identify the Council of the Ephori and its purpose, we can consult reference works and consider the available evidence.
The Council of the Ephori, also known as the Ephors, was a prominent institution in the city-state of Sparta during the classical period of ancient Greece. They played a crucial role in the Spartan government and were responsible for various administrative, judicial, and executive functions.
The Ephorate was established as part of the Spartan governmental system, which was characterized by a mixed constitution that included elements of monarchy, oligarchy, and democracy. The Council of the Ephori was an integral part of the oligarchic aspect of the Spartan government.
The primary purpose of the Council of the Ephori was to act as a check on the power of the two Spartan kings. Sparta had two hereditary kings who shared the executive authority, but the Ephors were elected annually and had the power to oversee and regulate the kings' actions. They had the authority to monitor the kings' conduct, judge their adherence to Spartan laws and customs, and even depose them if necessary.
Additionally, the Ephors had significant administrative responsibilities. They supervised the education of Spartan youth, oversaw the training of the military, and managed various public affairs. They were involved in the collection and distribution of state revenue, the implementation of laws, and the administration of justice.
The Council of the Ephori consisted of five members, who were elected by the Spartan citizens. The selection process involved a combination of election and lot-drawing, ensuring a degree of democratic participation. The Ephors held considerable power and influence within the Spartan society, and their role as a check on the kings helped maintain the stability and balance of power in the Spartan government.
In Xenophon's writings, he often mentioned the Council of the Ephori in the context of Spartan political affairs and decision-making. While he assumed his readers were familiar with the institution, he rarely provided explicit explanations. This approach was common in ancient Greek historical works, as they were often written for an audience that already possessed a certain level of knowledge about Greek institutions and customs.
To better understand the Council of the Ephori and its significance, one can consult ancient Greek historians like Herodotus, Thucydides, and Plutarch, who provide more detailed accounts of Spartan political institutions and the role of the Ephors within them.
Sanjay called random phone numbers in his state until he reached 1,000 people. Among those who answered the phone, 385 consented to participate in Sanjay's survey.
Is this a random sample of the people in the state?
Answer as Yes or No
Answers
Answer: NO
Step-by-step explanation:
This is because if you think about it, only the people that want to do the survey do it. Those who dont want to do it dont have to. This makes it voluntary. Any time the surveyed person gets to choose if they can do it it is voluntary. Furthermore, If it is voluntary it can usually represent all of the different peoples. But in this case, the shy people dont get a say because they would choose to not survey. So the shy people would not be represented. That is why this isn't random.
This figure is made up of two rectangular prisms.
What is the volume of the figure?
Answers
Answer:
1,134 cubic inches
Step-by-step explanation:
How to find volume = width x length x height
Divide the figure into 2 rectangular prisms; one on top, and one on the bottom.
The measurements of the rectangular prism on the top is 12, 10, and 7
12x10x7 = 840 cubic inches
The measurements of the rectangular prism on the bottom is 21, 7, and 2
21x7x2 = 294 cubic inches
Add them together
840+294 = 1,134 cubic inches
Some researchers needed to estimate how many catfish were in a local river, so they marked 280 catfish with tags. Later, the researchers trapped 540 catfish, of which 27 had tags. To the nearest whole number, what is the best estimate for the catfish population?
(13 points if solved:)
* Please Answer Properly*
Answers
Answer:
793 (ig)
Step-by-step explanation:
so take the 540 and subtract it by 27 then u will get the number of catfishes with no tags, then add the difference with 280 and u'll get the population hope it helps :)
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
Answers
Data Set A: 9, 11, 13, 10, 12
Data Set B: 8, 10, 12, 14, 16
Data Set C: 10, 10, 10, 10, 10
Data Set D: 11, 11, 11, 11, 11
To find the mean, we sum up all the values in each data set and divide by the number of values:
Data Set A: (9 + 11 + 13 + 10 + 12) / 5 = 11 minutes
Data Set B: (8 + 10 + 12 + 14 + 16) / 5 = 12 minutes
Data Set C: (10 + 10 + 10 + 10 + 10) / 5 = 10 minutes
Data Set D: (11 + 11 + 11 + 11 + 11) / 5 = 11 minutes
Comparing the mean of each data set to 11 minutes, we can see that only Data Set A and Data Set D have a mean of 11 minutes. However, to prove that our choice is correct, we need to analyze the individual values in the data set.
In Data Set A, we can observe that the values are relatively close to 11 minutes, with some values slightly above and below. This variation suggests a realistic scenario where Diego's walk to school might take slightly different amounts of time each day.
In Data Set D, all the values are exactly 11 minutes. While it is not impossible for Diego's walk to consistently take exactly 11 minutes each day, it seems less likely than having some variation in the durations.
Based on these observations, we can conclude that the most plausible data set for Diego is:
Data Set A: 9, 11, 13, 10, 12
This data set has a mean of 11 minutes and exhibits a realistic variation in walk durations, making it the most likely choice for Diego's recorded lengths.
If you hade to use Algebar tiles to do the charge method subtraction and you problème is -9 - (-2)
Answers
Answer:
-9 - (-2)= -7
Step-by-step explanation:
Please help mee! Thanks!!
Answers
Answer:
1. A 2. D
Step-by-step explanation:
you need a rectangle, go across from point L until you're over point O. Then you can count how many unit it took to get over point O.
What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?
Answers
Answer:
128
Step-by-step explanation:
A=2(wl+hl+hw)=2·(4·4+6·4+6·4)= 128
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
Simplify and evulate 3^3 ⋅ 3^2
Answers
Answer: 243
Step-by-step explanation:
3³×3²
27×9=243
hope it helps
Recent statistics have reported that the total area of Brazil is about 3 × 10^6 square miles, while the total area of Japan is about 2 × 10^5 square miles.
Create and solve an equation that can be used to find about how many times larger the area of Brazil is than the area of Japan.
Answers
Answer:
195500000
Step-by-step explanation:
Population density
Population density of Brazil and Peru are equal
Thus,
Total population of any area million square kilometer people per square kilometer
miilion
Brazils area = 3 x 10^6 = 3000000 square miles
Japans area = 2 x 10^5 = 200000 square miles
Now we can divide Brazils area by Japans area, to find out how many times bigger Brazil is than Japan:
3000000 / 20000 = 15
Brazil is 15 times larger than Japan.
can someone help me with this math problem? here is what it is
it is numbers 22 and 23.
Answers
J(4,4) k(3,4) L(1,1) M(4,1)
Select acute triangle, right triangle, or obtuse triangle to classify each triangle. which is which
Answers
Answer:
First triangle is Acute
Second triangle is Right
Third triangle is Obtuse
Step-by-step explanation:
Work out the size of angle x
Answers
Answer:
129°
Step-by-step explanation:
Step-by-step explanation:
soln,
51°+x=180°[exterior angles]
or,x=180°-51°
or,x=129°
•°•x=129°
hope it helps
Please help me on my math with Order Integers
Answers
Answer: -20,-19-,-15,0,4,16
Step-by-step explanation:
negative numbers work the opposite way as positive numbers when it comes to value for example 2 is greater then 1 but 1 is greater then -2
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
George is the calmest gorilla in the zoo. He weighs 9 pounds more than three times the weight of the shortest adult gorilla. The equation for George’s weight is 3c + 9 = 417, where c is the weight of the shortest gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true. Based on your answer, what is the name of the shortest adult gorilla in the zoo?
Answers
Answer:
The answer is hank.
Step-by-step explanation:
3c+9-9 = 417-9.
c=136
1) 82.23 + 35.23 =
2) 58.23 + 11.34 =
3) 73.34 + 54.35 =
4) 73.23 + 44.5 =
5) 60.54 - 45.67 =
6) 53.78 - 23.56 =
7) 51.45 - 46.78 =
8) 10.43 + 11.78 =
9) 56.45 + 16.45 =
10) 94.78 + 78.12 =
11) 53.23 - 12.85 =
12) 99.78 - 6.58 =
13) 73.56 - 36.18 =
14) 81.56 - 3.56 =
15) 65.78 - 46.34 =
Answers
Answer:
1) 117.46
2) 69.57
3) 127.69
4) 117.73
5) 14.87
6) 30.22
7) 4.67
8) 22.21
9) 72.9
10) 172.9
11) 40.38
12) 93.2
13) 37.38
14) 78
15) 19.44
Answer:
1- 117.46
2- 69.57
3- 127.69
4- 117.73
5- 14.87
6- 30.22
7- 4.67
8- 22.21
9- 72.9
10- 172.9
11- 40.38
12- 93.2
13- 37.38
14- 78
15- 19.44
A company makes cars at two factories. Some of the cars need repairs in the first year and some do not. This two-way frequency table shows the proportion of cars at each factory that need repairs or do not need repairs in the first year.
Which conclusions can be made from this table?
Select each correct answer.
For both factories, more cars need repairs than do not need repairs in the first year.
Among cars from Factory A, a larger percentage of cars do not need repairs than do need repairs in the first year.
Compared to Factory A, Factory B has a larger percentage of cars that do not need repairs.
More cars from Factory B need repairs than do not need repairs in the first year.
Answers
Answer:
Factory B since it has a larger percentage of cars that do not need repairs
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
I did the k12 quiz
Could someone explain? at least what I did wrong not how to get the answer
Answers
Answer:
You answered d is equal to c less than 144, not the other way around. This can be confusing, so next time read carefully.
Step-by-step explanation:
The table below shows the number of cups of food Trey's cat ate over time.
Number of cups: 3, 4, 9, 12, 15
number of days: 4, 8, 12, 16, 20
Which statement gives a unit rate?
A: For every day, Trey's cat ate 1.5 cups
B: For every cup, Trey's cat ate for 1.5 days
C: For every cup, Trey's cat ate for 0.75 of a day
D: For every day, Trey's cat ate 0.75 of a cup
Answers
Answer:
C
Step-by-step explanation:
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
I NEED THIS ASAP
Solve: 12= p/2
A. p = 13
B. p = 24
C. p = 14
D. p = 10
Answers
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the acceleration of
the object is 2 m/s^2. If the acceleration of the object becomes 3 m/s^2,what is the force?
Answers
The Force equals to Mass times acceleration.
Thus, we now know that the mass of the object is 4 (unit of mass). Hence 8/2=4.
So, 3 times 2 equals to 6 N.
Am I correct?
Which number is represented by "A" on the number line?
A) 0
B) 1
C) 2
D) 3
Answers
Answer:
0
Step-by-step explanation:
Each tick mark is going by twos. A is the tick mark in front of 2, so it would be 0.
Graph each equation below and identify the slope and the y-intercept (hint: use slope intercept form: y = mx + b where m is the slope and b is the y-intercept).
Answers
Answer:
(pics above)
Step-by-step explanation:
*i didn't draw the lines that way u could see the plot points
Solve for N: 8th grade KA math problem. Correct answers only, have a great day
(This problem contains variables and exponents)
Answers
Answer:
n = 5
Step-by-step explanation:
1) Use power rule: \((x^a)^b=x^{ab}\).
\(z^{2n}=z^{10}\)
2) Cancel the base of z on both sides.
2n = 10
3) Divide both sides by 2.
\(n=\frac{10}{2}\)
4) Simplify \(\frac{10}{2}\) to 5.
n = 5