The solution to the given differential equation is y(x) = (C1 + C2x) * e^(3x), where C1 and C2 are arbitrary constants.
To solve the given differential equation, we need to find the function y(x) that satisfies the equation:
(D^2 - 6D + 9)y(x) = 0,
where D represents the differentiation operator.
Let's break down the solution process step by step:
Characteristic Equation
First, we'll find the characteristic equation associated with the given differential equation. For a second-order linear homogeneous differential equation of the form aD^2y + bDy + cy = 0, the characteristic equation is obtained by replacing D with λ:
λ^2 - 6λ + 9 = 0.
Solving the Characteristic Equation
Now, we solve the characteristic equation to find the values of λ. Factoring the equation, we get:
(λ - 3)^2 = 0.
From this, we see that λ = 3 (with a multiplicity of 2).
General Solution
The general solution of the differential equation is given by:
y(x) = C1e^(λ1x) + C2xe^(λ2*x),
where C1 and C2 are arbitrary constants, and λ1, λ2 are the distinct roots of the characteristic equation.
In our case, since we have repeated roots, the general solution simplifies to:
y(x) = C1e^(3x) + C2xe^(3*x).
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Write in slope intercept form 6y+y=5
The equation 6y + y = 5 can be written in a slope-intercept form as y = 5/7.
We have,
To write the equation 6y + y = 5 in slope-intercept form (y = mx + b), we need to simplify the equation and isolate the y variable on one side.
Starting with the equation 6y + y = 5:
Combining the like terms on the left side gives us:
7y = 5
To isolate the y variable, we divide both sides of the equation by 7:
y = 5/7
Now the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, since the equation only contains the variable y and no x, the slope (m) is not present, and the y-intercept (b) is 5/7.
Therefore,
The equation 6y + y = 5 can be written in a slope-intercept form as y = 5/7.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
C. 50 cm²
Step-by-step explanation:
The volume of a triangular pyramid is calculated using the following formula:
Volume = (1/3) * Area of the base * Height
Area of the base is the area of the triangular base of the pyramid.Height is the distance from the apex of the pyramid to the plane of the base.For Question:
length: 5cm
Breadth:5cm
Height : 6 cm
Now,
Volume = ⅓* Area of the base * Height
Volume = ⅓*length*breadth*height
Volume= ⅓*5*5*6=50 cm³
For Exercises 24-29, find each value.
24. Sin x
25 cos x
26 tan x
27. Sin y
28. Cos y
29. Tan y
All the values of expressions are,
24. Sin x = 1/√17
25 cos x = 4/√17
26 tan x = 1/4
27. Sin y = 4/√17
28. Cos y = 1/√17
29. Tan y = 4
We have to given that,
A right triangle is shown in figure.
Now, We can simplify all the values,
24. Sin x = Opposite / Hypotenuse
sin x = 2 / 2√17
sin x = 1/√17
25) cos x = Base / Hypotenuse
cos x = 8 / 2√17
cos x = 4/√17
26) tan x = Opposite / Base
tan x = 2 / 8
tan x = 1/4
27. Sin y = Opposite / Hypotenuse
sin y = 8 / 2√17
sin y = 4/√17
28. Cos y = Base / Hypotenuse
cos y = 2 / 2√17
cos y = 1/√17
29. Tan y = Opposite / Base
tan y = 8 / 2
tan y = 4
Thus, All the values of expressions are,
24. Sin x = 1/√17
25. cos x = 4/√17
26. tan x = 1/4
27. Sin y = 4/√17
28. Cos y = 1/√17
29. Tan y = 4
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100 Points! Geometry question. Photo attached. Determine whether each pair or figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning. Please show as much work as possible. Thank you!
The pair of figures are similar because:
• Both figures are parallelograms
• All sides are congruent.
• Scale factor 1: 2.5
How to identify the similarity statement?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The pair of figures are similar because:
• Both figures are parallelograms
• All sides are congruent
• Angles W and Y are congruent with angles P and R
• Angles X and Z are congruent with angles S and Q
• Scale factor 1 : 2.5
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What is B^2+8b+7??
Can someone explain it step by step please?
Step-by-step explanation:
B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).
To factor a quadratic expression, you can use the following steps:
1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).
2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.
In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:
(b+7)(b+1)
This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).
Here is a step-by-step explanation of how to factor B^2+8b+7:
1. The coefficient of the middle term is 8.
2. The constant term is 7.
3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.
4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Based on the information given about the geometry, the value of CF will b A. 6cm.
How to calculate the valueSince OE and OF are both 4 cm, then OEF is an equilateral triangle. This means that EOF is 60 degrees.
Since AB is 12 cm, then AB is twice the length of OE. This means that ABE is a 30-60-90 triangle.
In a 30-60-90 triangle, the hypotenuse is twice the length of the side opposite the 30 degree angle. This means that CF is 6 cm.
In conclusion, the correct option is A.
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A wagon is pulled with a force of 80 pounds by a handle that
makes an angle of 20° with the horizontal.
A
What is the horizontal component of the force correct to the
nearest tenth?
27.4
B
75.2
80
20°
C
76.2
D 76.4
Explanation:
The horizontal component is found using cos fxn
80 x cos 20 = 75.2 pounds
4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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An ethical hacker, also referred to as a white hat hacker, is an information security expert who systematically attempts to penetrate a computer system, network, application or other computing resource on behalf of its owners. The purpose of ethical hacking is to evaluate the security of and identify vulnerabilities in systems, networks or system infrastructure. It includes finding and attempting to exploit any vulnerabilities to determine whether unauthorized access or other malicious activities are possible.
An ethical hacker is required to randomly guess the correct pin code that consists of the number 0 through 9 that must be entered in the correct order to access a company system.
1. What is the probability that the ethical hacker will guess the pin code correctly on the first try?
2. There are many variations of this guess. Assuming the primary variation allows the ethical hacker to guess correctly if the four-digit in the number are selected in any order as long as they are the same four digits as set by the IT security of the company.
For example, if the ethical hacker picks four digits making the number 2376, then the he will guest it right if 2376, 3726, 6327, 7632, and so forth, are entered. Consider the following four different versions of his presumptions.
(a) All four digits are unique (e.g. 1234)
(b) Exactly one of the digits appears twice (e.g. 2334, 8185)
(c) Two digits each appear twice (e.g. 1212, 8855)
(d) One digit appears three times (e.g. 2226, 8188)
Find the probability that the ethical hacker will successfully guess the accurate pin code in the first try for each of these four situations.
Show the necessary steps and explanation for the four presumptions stated above.
Answer: What is the probability that the ethical hacker will guess the pin code correctly on the first try?
Since the pin code consists of 10 possible digits (0 through 9), the probability of guessing the correct pin code on the first try is 1 in 10. This is because there is only one correct pin code out of the 10 possible options.
Therefore, the probability is 1/10 or 0.1 (or 10%).
Calculating the probability for each of the four situations:
(a) All four digits are unique (e.g., 1234):
In this case, there are 10 options for the first digit, 9 options for the second digit (since it can't be the same as the first), 8 options for the third digit, and 7 options for the fourth digit. The total number of possible combinations is given by:
10 × 9 × 8 × 7 = 5040
So, there are 5040 possible four-digit combinations when all digits are unique.
The probability of guessing the correct pin code on the first try in this situation is 1 in 5040, or 1/5040.
(b) Exactly one of the digits appears twice (e.g., 2334, 8185):
In this case, we have two scenarios to consider:
Scenario 1: The repeated digit is the first digit:
The first digit can be chosen in 10 ways, the second digit (repeated) can be chosen in 9 ways, and the remaining two distinct digits can be chosen in 8 and 7 ways, respectively. So, the total number of possible combinations is:
10 × 9 × 8 × 7 = 5040
Scenario 2: The repeated digit is not the first digit:
The first digit can be chosen in 9 ways (excluding the repeated digit), the repeated digit can be chosen in 10 ways, and the remaining two distinct digits can be chosen in 8 and 7 ways, respectively. So, the total number of possible combinations is:
9 × 10 × 8 × 7 = 5040
Combining both scenarios, we get a total of 2 × 5040 = 10080 possible combinations when exactly one of the digits appears twice.
The probability of guessing the correct pin code on the first try in this situation is 1 in 10080, or 1/10080.
(c) Two digits each appear twice (e.g., 1212, 8855):
In this case, there are two scenarios to consider:
Scenario 1: The two pairs of digits are different:
The first pair of digits can be chosen in 10 ways, the second pair of digits can be chosen in 9 ways, and the order of the pairs can be switched. So, the total number of possible combinations is:
10 × 9 × 2 = 180
Scenario 2: The two pairs of digits are the same:
The pair of digits can be chosen in 10 ways, and the order of the digits can be switched. So, the total number of possible combinations is:
10 × 1 = 10
Combining both scenarios, we get a total of 180 + 10 = 190 possible combinations when two digits each appear twice.
The probability of guessing the correct pin code on the first try in this situation is 1 in 190, or 1/190.
(d) One digit appears three times (e.g., 2226, 8188):
In this case, there are two scenarios to consider:
Scenario 1: The repeated digit is the first digit:
The first digit can be chosen in 10 ways, and the remaining two distinct digits can be chosen in 9 and 8 ways, respectively. So, the total number of possible combinations is:
10 × 9 × 8 = 720
Scenario 2: The repeated digit is not the first digit:
The first digit can be chosen in 9 ways (excluding the repeated digit), and the repeated digit can be chosen in 10 ways. The remaining distinct digit can be chosen in 8 ways. So, the total number of possible combinations is:
9 × 10 × 8 = 720
Combining both scenarios, we get a total of 2 × 720 = 1440 possible combinations when one digit appears three times.
The probability of guessing the correct pin code on the first try in this situation is 1 in 1440, or 1/1440.
To summarize, the probabilities for each of the four situations are:
(a) All four digits are unique: 1/5040
(b) Exactly one of the digits appears twice: 1/10080
(c) Two digits each appear twice: 1/190
(d) One digit appears three times: 1/1440
a floor that is 15 15 feet by 12 feet is being covered by tiles that are 1.5 feet by 1.5 feet. which is the best represents the number of tiles that will be needed
The best representation of the number of tiles that will be needed to cover the Floor is 80 tiles.
The number of tiles needed to cover the floor, we can calculate the total area of the floor and divide it by the area of each tile.
The area of the floor is given by the product of its length and width: 15 feet * 12 feet = 180 square feet.
The area of each tile is given by the product of its length and width: 1.5 feet * 1.5 feet = 2.25 square feet.
To find the number of tiles needed, we divide the total area of the floor by the area of each tile:
Number of tiles = (Total area of the floor) / (Area of each tile) = 180 square feet / 2.25 square feet = 80 tiles.
therefore, the best representation of the number of tiles that will be needed to cover the floor is 80 tiles.
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What is the slope of the line?
You borrow $25,000 at an interest rate of 5.2% compounded monthly and your monthly payment is $231.49.
What is the interest accrued in the first month?
Using the compound interest formula, the interest after one month is $1300
What is compound interest?The compound interest formula is given by A = P(1 + r)ⁿ where
A = amount after time n, P = principal, r = interest rate and n = timeNow, since y borrow $25,000 at an interest rate of 5.2% compounded monthly and your monthly payment is $231.49. To find the interest accrued in the first month, we proceed as follows.
So, in the compound interest formula, we have that
P = $25,000r = 5.2 % = 0.052 and n = 1So, to find the amount after one month, we substitute the values of the variables into the equation. So, we have that
A = P(1 + r)ⁿ
A = 25000(1 + 0.052)¹
A = 25000(1.052)
A = 26300
So, the interest after one month is I = A - P
= $26300 - $25,000
= $ 1300
So, the interest is $1300
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find the quotient of 5/31 divided by 15/23
Answer:23/93.
Step-by-step explanation:
which table does not show y as a function of x?
Answer:
I am confident the answer is H.
I am having a hard time figuring out the domain and range
Answer:
domain= [-5,5]
range= [-3,3]
Step-by-step explanation:
the domain is with the x axis you have to look for the farthest x axis which would be - 5 in this case and the closest axis which is 5 so the x can be anywhere between - 5 and 5
then for the range is with the y axis you would look for the farthest y axis which is - 3 and the closes which is 3 so the y can be anywhere in between - 3 and 3
An office 8.5m long and 6.3m wide is to be carpeted to leave a surrounding 60 cm wide around the carpet, what is (a) the area of the office (b) the area of the carpet (c) the area of the surrounding
(a) The area of the office is 53.55 meters square.
(b) The area of the Carpet would be 52.6656 meters square.
(c) The area of the surrounding is 0.8844 meters square.
Area of the office floor= Length × Breadth
= 8.5 meters × 6.3 meters
= 53.55 meters square
Area of the Carpet = Length × Breadth
= (8.5-0.06) meters × (6.3-0.06) meters
Since, 60 cm = 0.06 meters
Because 1 meter = 100 cm
= 52.6656 meters square
Area of surrounding = Area of Office floor - Area of Carpet
= 53.55 meters square - 52.6656 meters square
= 0.8844 meters square
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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Pick A, B, C, or D
A spinner has six equal-sized sections. The sections are labeled red, blue, green, red, blue, and blue. How many outcomes are in the sample space?
The outcomes that are in the sample space are red, blue, green, red, blue, and blue.
How to determine the outcomes that are in the sample space?From the question, we have the following parameters that can be used in our computation:
Spinner = 6 sections
This means that
The spinner has 6 sections and as such, the sample size of the spinner is 6
The sample space are the colors in the spinner
So, we have
Space = red, blue, green, red, blue, and blue.
Hence, the outcomes that are in the sample space are red, blue, green, red, blue, and blue.
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The top of a kitchen table measures 160cm by 90cm. A beetle walks diagonally across the table from one corner to the other. Calculate how far the beetle walks.
Answer: To calculate the distance the beetle walks diagonally across the table, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the right triangle formed by the table are 160 cm and 90 cm. Let's call the hypotenuse (the distance the beetle walks) "d."
So, applying the Pythagorean theorem, we have:
d^2 = 160^2 + 90^2
Simplifying:
d^2 = 25600 + 8100
d^2 = 33700
Taking the square root of both sides:
d ≈ √33700
d ≈ 183.54 cm
Therefore, the beetle walks approximately 183.54 cm diagonally across the kitchen table.
Write the quadratic equation in standard form that corresponds to the graph shown below.. Please help.
The quadratic equation in standard form that corresponds to the graph shown above is f(x) = x² + 2x - 8
What is the general form of a quadratic function?In Mathematics and Geometry, the standard form of a quadratic function can be modeled and represented by using the following mathematical expression;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.In this scenario and exercise, we would write a quadratic function that represent f(x) in standard form and with a leading coefficient of 1 by using the roots (-4, 0) and (2, 0) as follows;
f(x) = (x + 4)(x - 2)
f(x) = x² - 2x + 4x - 8
f(x) = x² + 2x - 8
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There is an upcoming election for student council president at a high school. Candidate A must get over 50% of the vote against Candidate B to be elected. A poll was taken of a random sample of 80 students from the high school and 44 students said they would vote for Candidate A. Simulations were done with an assumption that the population is split 50-50 using a sample size of 80 to see how likely a sample of 80 would have 44 who preferred Candidate A. The results of 200 simulations are shown below. Create an interval containing the middle 95% of the data based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
The interval containing the middle 95% of the data based on the simulation results is approximately (0.35, 0.65), and the observed proportion of 0.55 falls within this interval, indicating that it is within the margin of error of the simulation results.
To create an interval containing the middle 95% of the data based on the simulation results, we can calculate the lower and upper bounds of the interval.
Let's analyze the simulation results and find the appropriate values.
Out of 200 simulations, we observe that the proportion of students who preferred Candidate A ranges from a minimum of 0.35 (35%) to a maximum of 0.65 (65%).
Since the simulations assume a 50-50 split, we can consider these values as the lower and upper bounds for the middle 95% of the data.
To find the range of the middle 95% of the data, we calculate the difference between the upper and lower bounds.
Upper bound: 0.65
Lower bound: 0.35
Range: 0.65 - 0.35 = 0.30
To find the interval containing the middle 95% of the data, we divide the range by 2 and add/subtract it from the midpoint.
The midpoint is the average of the upper and lower bounds.
Midpoint: (0.65 + 0.35) / 2 = 0.50
Range / 2: 0.30 / 2 = 0.15
Lower bound of the interval: 0.50 - 0.15 = 0.35
Upper bound of the interval: 0.50 + 0.15 = 0.65
Therefore, the interval containing the middle 95% of the data based on the simulation results is approximately (0.35, 0.65).
Now let's compare the observed proportion from the poll to this interval. The poll indicates that out of a random sample of 80 students, 44 students said they would vote for Candidate A.
To calculate the observed proportion, we divide the number of students who preferred Candidate A (44) by the sample size (80).
Observed proportion: 44/80 = 0.55
The observed proportion of 0.55 is within the margin of error of the simulation results.
It falls within the interval (0.35, 0.65), indicating that the observed proportion is consistent with the simulation and aligns with the assumption of a 50-50 split in the population.
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Find the area of each regular polygon. Round your
answer to the nearest tenth if necessary.
10.4
661.5
364
O 462.7
533.6
10
Area of the given heptagon = 364 square unit.
The given figure is regular heptagon,
length of each side = 10
Distance between Centre and edge = 10.4
Since we know that,
A seven-sided polygon with seven angles, seven vertices, and seven edges is known as a heptagon. They may have the same or different length dimensions. It is a closed figure, and a regular heptagon is one with all equal seven sides.
Now,
Perimeter of the given heptagon = 7x10
= 70
Area of heptagon = perimeter x 10.4/2
= 70 x 5.2
= 364
Hence,
Area = 364 square unit.
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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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round 52754.1683 the nearest.ten
Answer:
52750
Step-by-step explanation:
Step 1: Identify the digit in the tens place:
The digit in the tens place is always 2 spaces to the left of the decimal.Thus, the digit in the tens place is 5 (the one sandwiched between 7 and 4).Step 2: Examine the digit to the right of the tens place:
In this case, the digit to the right of the tens place is 4.Step 3: Determine the rounding:
When the digit to the right of the tens place is 5 or greater (5, 6, 7, 8, or 9), you round up the tens place digit by adding 1 to the digit in the tens place.Also, we remove the decimal point and everything to the left of it, using a whole number only.When the digit to the right of the tens place is less than 5 (4, 3, 2, 1, or 0), you keep the tens place digit as it is and the number to right of tens place digit it replaced by 0.We still remove the decimal point and everything to the left of it, using a whole number only.Since the digit to the right of the tens place is 4 (which is less than 5), we keep the tens place digit as is.
Original number: 52754.1683
Rounding to the nearest ten: 52750
Thus, rounding 52754.1683 to the nearest ten gives us 52750.
100 Points! Geometry question. Photo attached. Find x, y, and z. Please show as much work as possible. Thank you!
The missing sides of the triangle are
x = 6.32
y = 7.48
z = 11.83
How to find the missing sides of the trianglesThe missing side x is calculated using similar triangles rules as below
x / 10 = 4 / x
cross multiply gives
x² = 40
x = √40 = 6.32
Other sides will solved by Pythagoras theorem.
the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let y be the required distance
y² = 6.32² + 4²
y² = 55.94
y = √55.94
y = 7.48
z² = 6.32² + 10²
z² = 139.94
z = √139.94
z = 11.83
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In the figure below, S is the center of the circle. Suppose that JK = 20, LM = 3x + 2, SN = 12, and SP = 12. Find the
following.
Answer:
x = 6
JN = 10
Step-by-step explanation:
if the values of SN and SP are the same, so are the corresponding sides next to the right angles.
which means:
if SP = SN, then JK = LM.
Use the reverse version of the function for calculating LM (3x + 2).
-2 * 1/3
Now apply that function to 20.
(20-2)/3
= 18/3
= 6.
x = 6
Now JK is a chord.
and Radius SQ intersects JK at a perpendicular right angle (at point N).
So JN would be half the length of JK.
20/2 = 10.
JN = 10
Un atleta parte desde el reposo en una competencia al cabo de 30 segundos su velocidad es de 2m/s ¿cuál es la aceleración del atleta?
The required acceleration is 0.0666 [tex]m^{2}[/tex]/s.
Given that the velocity of the object is 2m/s and time is 30s.
Acceleration is the rate of change of velocity with respect to time.
To find the acceleration by using the formula.
acceleration (a) = velocity (v) / time (t).
By using data and formula gives,
acceleration (a) = velocity (v) / time (t).
acceleration (a) = 2 / 30
acceleration (a) = 0.0666 [tex]m^{2}[/tex]/s.
Hence, the required acceleration is 0.0666 [tex]m^{2}[/tex]/s.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Area of a polygon formula: = 2(1+[tex]\sqrt{2}[/tex]) side²
To find one side: 96 ÷ 8 = 12
implement formula
≈695.29351
Solve the compound inequality.
2y+3≥-9 or -3y<-15
Write the solution in interval notation.
To solve the compound inequality 2y + 3 ≥ -9 or -3y < -15, we'll solve each inequality separately and then combine the solutions.
First, let's solve the first inequality: 2y + 3 ≥ -9.
Subtract 3 from both sides:
2y ≥ -12
Divide both sides by 2 (note that dividing by a positive number does not change the inequality direction):
y ≥ -6
Next, let's solve the second inequality: -3y < -15.
Divide both sides by -3 (remember to reverse the inequality direction when dividing by a negative number):
y > 5
Now, let's combine the solutions. We have y ≥ -6 or y > 5.
In interval notation, we can express the solution as (-∞, -6] ∪ (5, ∞). This means that the solution includes all real numbers less than or equal to -6, as well as all real numbers greater than 5.
Helpppolll ILL GIVE BRSINLYIST ANYTHIBG.
17 in.
8 in.
7
17 in.
30 in.
What is the volume of this figure?
15 in.
The volume of the given figure is 750 in.
Given
Base =30in
Height = 8in
Side = 15
Side = 17
Required to calculate the volume of the given figure
Volume = Base x Height + 2 side x side (there are two rectangle)
= 30 x 8 + 2 x 15 x 17
= 750
The region that a 2D shape covers in an area versus the space a 3D shape occupies is the main distinction between area and volume. Geometry is filled with a wide variety of shapes and sizes.
A mass is a solid body or an assortment of distinguishable visual components that together make a solid form, such as lines, colors, textures, etc. Length, width, and depth make up the three dimensions of volume.
Thus, the volume of the given figure is 750.
Learn more about Volume here:
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