What Is 5 3/5 − 4 1/10
Answers
Answer:
1\(\frac{1}{2}\)
Step-by-step explanation:
5 3/5 can also be thought of as 5 6/10. So, we can subtract 5-4 and subtract 6/10-1/10. This gives us 1 5/10, or 1\(\frac{1}{2}\)
Related Questions
Select the examples below that have a net torque of zero about the axis perpendicular to the page and extending from the center of the
Answers
In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.
It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.
A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:
1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.
Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.
Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.
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TRUE/FALSE. When the test statistic is t and the number of degrees of freedom gets very large, the critical value of t is very close to that of the standard normal z.
Answers
It is true that when the test statistic is t and the number of degrees of freedom gets very large, the critical value of t is very close to that of the standard normal z.
When the number of degrees of freedom for the t-distribution becomes very large, the t-distribution approaches the standard normal distribution. As a result, the critical values of t and z become very close to each other. This approximation holds true when the sample size is sufficiently large, typically above 30 degrees of freedom.
When the number of degrees of freedom for the t-distribution becomes very large, the shape of the t-distribution approaches that of the standard normal distribution. The t-distribution is symmetric and bell-shaped, similar to the standard normal distribution.
As the number of degrees of freedom increases, the tails of the t-distribution become less pronounced, and the distribution becomes more concentrated around the mean. This means that the extreme values of the t-distribution become less likely.
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suppose a population has mean 47. we create a sampling distribution for the mean using groups of size 30. what will be the expected mean of the sampling distribution?
Answers
The expected mean of the sampling distribution, with groups of size 30, will also be 47. This is because the Central Limit Theorem states that as sample size increases.
The sampling distribution of the mean approaches a normal distribution with a mean equal to the population mean. Therefore, with a large enough sample size of 30, the expected mean of the sampling distribution will be the same as the population mean of 47.
Given that the population has a mean of 47, when creating a sampling distribution for the mean using groups of size 30, the expected mean of the sampling distribution will be the same as the population mean. The expected mean of the sampling distribution with groups of size 30 will be 47.
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in this in this equation y equals 14 x what is the constant of proportionality
Answers
Answer:
We conclude that the value of the constant of proportionality.
k = 14Step-by-step explanation:
We know that if 'y' varies directly with 'x', we use the equation
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
Given the equation
y = 14x
comparing with the equation
y = kx
Thus,
k = 14
Therefore, we conclude that the value of the constant of proportionality.
k = 14A rectangular yard has a width to length ratio of 2:5. If the distance around the yard is 1400 feet, what are the dimensions of the yard?the yard is ______ ft wide and ______ ft long.
Answers
Answer:
length = 500 ft
width= 200 ft
Explanation:
Let us call w the width and L the length of the yard - then we know that
\(\frac{w}{L}=\frac{2}{5}\)in other words, the length to width ratio is 2 : 5.
Moreover, we also know that the distance around the yard (its perimeter) is 1400 ft - meaning
\(2(w+L)=1400\)Hence, we have two equations and two unknowns.
Now for solve for w in the first equation to get
\(w=\frac{2}{5}L\)substituting this value of w in the second equation gives
\(\begin{gathered} 2(w+L)=1400 \\ 2(\frac{2}{5}L+L)=1400 \end{gathered}\)the left-hand side simplifies to give
\(2(\frac{7}{5}L)=1400\)dividing both sides by 2 gives
\((\frac{7}{5}L)=\frac{1400}{2}\)\(\rightarrow(\frac{7}{5}L)=700\)Multiplying both sides by 5/7 gives
\(\frac{5}{7}\cdot(\frac{7}{5}L)=700\cdot\frac{5}{7}\)\(L=700\cdot\frac{5}{7}\)\(L=\frac{700\cdot5}{7}\)\(\boxed{L=500}\)Hence, the length of the yard is 500 ft.
With the value of length in hand, we now find the width using
\(w=\frac{2}{5}L\)since L = 500, the above equation becomes
\(w=\frac{2}{5}\cdot500\)\(w=\frac{2\cdot500}{5}\)\(\boxed{w=200}\)The width of the yard is 200 ft.
Hence, to summarize
The yard is 200 ft wide and 500 ft long.
2n+4=22
gimme the answer
Answers
Answer: n=9
Step-by-step explanation:
I'm assuming you want to solve for n, as that's the only possible question I can think of.
To solve for n, we want to isolate n by using inverse operations.
2n+4=22 [subtract both sides by 4]
2n=18 [divide both sides by 2]
n=9
Therefore, n=9 Is the answer.
How do you solve the inequality and graph the solution
E.g. x-2<5
Answers
Answer:
\(x < 7\)
Step-by-step explanation:
Solution:
\(x -2 < 5 \\ x -2 +2 < 5 +2 \\ x < 7\)
Please refer to the image attached on this answer for the graph.
What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)
Answers
The diameter of the small volcano 'Pico' would be = 8km
What is an isoline of a map?An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.
The isoline that is used in the given map above = 2000m.
The number of lines that surrounds the pico volcano = 4
Therefore the diameter of the volcano = 2000×4 = 8000m
But 1000m = 1km
8000m = 8km
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The original price of a sound system is $1250. For one day only, the store is offering a frequent shopper discount of 35% on all merchandise. Which expressions can be used to find the discounted price of the sound system? Check all that apply.
0.35($1250)
$1250 + 0.35($1250)
0.65($1250)
$1250 – 0.35($1250)
Answers
Answer:
C.)0.65($1250)
D.)$1250 – 0.35($1250)
Step-by-step explanation:
O.P (Original Price) $1250
Dc (Discount) 35% - *ALL MERCHANDISE*
Question:
Which expressions can be used to find the discounted price of the sound system?
Second Answer:
C & D are the two options that fit the
O.P (Original Price)
&
Dc (Discount)
Answer:
C and D
Step-by-step explanation:
A certain loan program offers an interest rate of 3%, compounded continuously. Assuming no payments are made, how much would be owed after seven years on a loan of $3100?Round your answer to the nearest cent.
Answers
The amount that would be owed after seven years is $3824.40
EXPLANATION
Given:
Principal(P)= 3100
rate (r) =0.03
Time (t) = 7
Using the formula below (since it is continuously compounded):
\(A=Pe^{rt}\)Substitute the values into the formula and evaluate.
\(=3100\times e^{0.03\times7}\)\(=3100\times e^{0.21}\)\(\approx3824.40\)Hence, the amount that will be owed is $3824.40
b. What did you notice about the measures of 23 and 27? Why do you think this is so? Are there any ot
pairs of angles with this same relationship? If so, list them.
Answers
In general, any pair of angles whose measures add up to less than 90 degrees are acute angles.
What is pair of angles ?
In geometry, a pair of angles refers to two angles that share a common vertex and a common side, but do not overlap. These two angles are also referred to as adjacent angles.
There are different types of pairs of angles, depending on the relative positions of the angles and their measures. Some examples include:
If two angles are complementary, that means they add up to 90 degrees. So if one angle is 23 degrees, the other complementary angle must be 90 - 23 = 67 degrees. Similarly, if one angle is 27 degrees, the other complementary angle must be 90 - 27 = 63 degrees. Therefore, the measures of 23 and 27 degrees are not complementary angles.
However, there is a relationship between the measures of 23 and 27 degrees in that they are both acute angles. An acute angle is an angle that measures less than 90 degrees.
There are other pairs of angles that share this same relationship of being acute angles, such as:
10 degrees and 80 degrees
35 degrees and 55 degrees
40 degrees and 50 degrees
15 degrees and 75 degrees
In general, any pair of angles whose measures add up to less than 90 degrees are acute angles.
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I'm a denf it so I can show because I can't send the full pic
Answers
Some of these type of quatities are vectors, they depend on directions, for instance B. The number C. adds two values, so they don't make zero, and number D. still has one galf of the gas. So the answer is number A. Veronica receives 21 and spends 21, so
Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, explain why not. Six students are randomly chosen from a Statistics class of 300 students. Let X be the average student grade on the first test. Part 1 The random variable X does not have a binomial distribution. Part 2 out of 2 Which of the following conditions for the binomial distribution does not hold? (If there is more than one, select only one.) 1. A fixed number of trials are conducted. 2. There are two possible outcomes for each trial. 3. The probability of success is the same on each trial. 4. The trials are independent. 5. The random variable X represents the number of successes that occur. The random variable is not binomial because does not hold.
Answers
1. X does not have a binomial distribution.
2. X cannot have a binomial distribution.
Part 1: The random variable X do not have a binomial distribution.
Part 2: The random variable is not binomial because the first condition for a binomial distribution does not hold. A binomial distribution requires a fixed number of trials, but in this case, the number of students chosen from the Statistics class is not fixed, but rather a random variable itself. Therefore, X cannot have a binomial distribution.
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A softball player has had 8 base hits out of 25 at bats for a current batting average of 8/25 = .320. How many consecutive base hits does she need if she wants to raise her batting average to .400? Explain or show your reasoning.
Answers
Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.
What is a proportion?A proportion is a fraction of a total amount.
Hence, the batting average is given by the number of hits divided by the number of at-bats.
If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:
\(0.4 = \frac{8 + x}{25 + x}\)
8 + x = 10 + 0.4x
0.6x = 2
x = 3.33
Rounding up, she needs 4 consecutive hits to raise her batting average to .400.
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a finite sequence of three-digit integers has the property that the tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term. for example, such a sequence might begin with the terms 247, 475, and 756 and end with the term 824. let be the sum of all the terms in the sequence. what is the largest prime factor that always divides ?
Answers
The largest prime factor that always divides the sum of the terms in the sequence is 37.
The sequence is finite and consists of three-digit integers.
The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.
From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.
Let "x" be the sum of the digits at unit place in all the terms.
The sum of all the terms is "S".
S = 111*x
S = 3*37*x
We can clearly see that the sum "S" is divisible by 37.
Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
9
Step-by-step explanation:
the square of 3 is 9
3 + 3 + 3 = 9
The lengths of the perpendiculars drawn to the sides of a regular hexagon from an interior point are 4, 5, 6, 8, 9, and 10 centimeters. What is the number of centimeters in the length of a side of this hexagon
Answers
Thus, the length of a side of the regular hexagon is 8 centimeters using the Pythagorean theorem.
The key to solving this problem is to realize that the perpendiculars drawn from the interior point to the sides of the hexagon form a right triangle with one leg being the perpendicular and the other leg being a side of the hexagon. We also know that the hexagon is regular, meaning all sides have the same length.
Let's label the length of the side of the hexagon as "x". We can use the Pythagorean theorem to find the length of each perpendicular as follows:
- For the perpendicular that is 4 cm long, we have x^2 = 4^2 + (x/2)^2
- For the perpendicular that is 5 cm long, we have x^2 = 5^2 + (x/2)^2
- For the perpendicular that is 6 cm long, we have x^2 = 6^2 + (x/2)^2
- For the perpendicular that is 8 cm long, we have x^2 = 8^2 + (x/2)^2
- For the perpendicular that is 9 cm long, we have x^2 = 9^2 + (x/2)^2
- For the perpendicular that is 10 cm long, we have x^2 = 10^2 + (x/2)^2
Simplifying each equation and using a bit of algebra, we get:
- 3x^2 = 16^2
- 7x^2 = 25^2
- 12x^2 = 36^2
- 24x^2 = 64^2
- 33x^2 = 81^2
- 40x^2 = 100^2
Solving for x in each equation, we find that x = 8 cm. Therefore, the length of a side of the regular hexagon is 8 centimeters.
In summary, we used the fact that the perpendiculars from an interior point to the sides of a regular hexagon form right triangles to set up equations using the Pythagorean theorem. Solving for the length of a side of the hexagon in each equation, we found that it is 8 cm long.
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The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answers
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
An element with mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest 10th of a gram?
Answers
Answer:
Step-by-step explanation:
310 g x (1-0.057) = 292.33
(subtraction as it decreases)
After 2 minutes, we have 292.33 g x (1-0.057) = 310 g x (1-0.057)2 = 275.67 grams.
After 9 minutes, approximately 182.8 grams of the element remains
A total of 6.825 inches of snow fell during a storm. The snow fell at an average of rate 1.3. For how many hours did the snow fall? I really need help(
Answers
Started at –20° and changed 0° whats is the slope
Answers
Answer:
See below
Step-by-step explanation:
Start out -20 and change 0° ?
then there is zero slope as this would be a horizontal line.
a geneticist claims that four species of fruit flies should appear in the ratio 1:3:3:9. suppose that a sample of 4000 flies contained 226, 764, 733, and 2277 flies of each species, respectively. which test would you use?
Answers
To determine if the observed data supports the geneticist's claim, we should use the Chi-square test for goodness of fit. .
This test will help we compare the observed frequencies of the four species in your sample with the expected frequencies based on the ratio 1:3:3:9.
1. Calculate the expected frequencies based on the ratio 1:3:3:9.
Total ratio = 1+3+3+9 = 16
Expected frequency of Species 1 = (1/16) * 4000 = 250
Expected frequency of Species 2 = (3/16) * 4000 = 750
Expected frequency of Species 3 = (3/16) * 4000 = 750
Expected frequency of Species 4 = (9/16) * 4000 = 2250
2. Compute the Chi-square statistic using the formula:
χ² = Σ [(Observed - Expected)² / Expected]
χ² = (226-250)²/250 + (764-750)²/750 + (733-750)²/750 + (2277-2250)²/2250
χ² = 2.304 + 0.2667 + 0.3067 + 0.3244
χ² = 3.202
3. Determine the degrees of freedom (df) using the formula:
df = Number of categories - 1
df = 4 - 1 = 3
4. Choose a significance level (usually 0.05) and compare the calculated χ² value to the critical value from the Chi-square distribution table.
5. If the calculated χ² value is less than or equal to the critical value, you cannot reject the null hypothesis, meaning the observed data is consistent with the geneticist's claim.
If the calculated χ² value is greater than the critical value, you can reject the null hypothesis, meaning the observed data does not support the geneticist's claim.
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Answers
Calculate the probability of each sum by dividing the number of successful outcomes by the total number of possible outcomes. For the sum of 7: P(7) = 6 successful outcomes / 36 total outcomes = 1/6 ≈ 0.1667.
The scenario you described involves rolling a fair die twice and adding the numbers on each roll together to get a sum, which is considered a single trial in a random experiment. Since each roll has six possible outcomes (1 through 6), there are a total of 6 x 6 = 36 possible outcomes for this experiment. The probability of getting a particular sum can be calculated by dividing the number of ways that sum can occur by the total number of possible outcomes (i.e., 36). For example, the probability of getting a sum of 7 is 6/36 = 1/6, since there are 6 ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 possible outcomes. Similarly, the probability of getting a sum of 2 is 1/36, since there is only one way to get a sum of 2 (1+1) out of 36 possible outcomes.
In this random experiment, an ordinary (fair) die is rolled twice, and the face values of the two rolls are added together to obtain the sum. The die has 6 sides, each with a number from 1 to 6 represented by painted spots. The possible outcomes for a single trial of this experiment are the sums of the two rolls, ranging from 2 (1+1) to 12 (6+6). To calculate the probability of each outcome, follow these steps:
1. Determine the total number of possible outcomes: Since there are 6 sides on a die, and it is rolled twice, there are 6 * 6 = 36 possible outcomes (combinations of rolls).
2. Count the number of successful outcomes for each sum. For example, to find the probability of obtaining a sum of 7:
- There are 6 successful outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
3. Calculate the probability of each sum by dividing the number of successful outcomes by the total number of possible outcomes. For the sum of 7: P(7) = 6 successful outcomes / 36 total outcomes = 1/6 ≈ 0.1667.
Repeat this process for each possible sum (2 to 12) to find the respective probabilities.
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\(2x^2+8x-7=-2\)
Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer
Answers
Answer:
x = -2 ±√(13/2)
Step-by-step explanation:
Match each equation to the situation it represents.
Answers
Answer:
1-3
2-2
3-1
Step-by-step explanation:
2 goes to 2
And 3 goes to 1
if the numbers denoting the perimeter and area of the square are equal, what is the length of the diagonal?
Answers
If the numbers denoting the perimeter and area of the square are equal, the length of the diagonal will be 4√2 units.
What are Area and Perimeter?
An object's shape defines a region as its area. The area of a figure or any other two-dimensional geometric shape is how much space it takes up in a plane.
The whole length encircling a shape is referred to as its perimeter. Simply put, if a shape is stretched into a linear form, its perimeter is its length. In a two-dimensional plane, a shape's perimeter is the sum of its total dimensions.
Let the side of the square to be 'a'.
If Area and Perimeter of a square are equal then,
So, Area = Perimeter
a^2 = 4a
we get, a = 4 units.
Now, we can find the diagonal by using Pythagoras theorem,
We know that, Hypotenuse^2 = Base^2 + Perpendicular^2
Here, the hypotenuse will be the diagonal of the square.
So, We have,
Diagonal^2 = 4^2 + 4^2
= 16 + 16
= 32
∴ Diagonal = √32 = 4√2 units.
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Given that \( \bar{F}(x, y, z)=x e^{v} \bar{i}+z \sin y \bar{j}+x y \ln z \bar{k} \). Find div \( \bar{F} \) and curl \( \bar{F} . \)
Answers
The divergence of F' is \(e^{v}+zcosy+\frac{xy}{z}\) and the curl of F' is y(lnz)i' + (xlnz)j' + (siny)k'.
To find the divergence (div) of the vector field F' (x, y, z) =\(xe^{v}i'+zsinyj'+xylnzk'\), we need to calculate the divergence with respect to x', y', z'.
The divergence of a vector field F' = Pi' + Qj' + Rk' is given by the formula
\($\bar{F}=\frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}+\frac{\partial R}{\partial z}$\)
Here, we have
P = \(xe^{v}\)
Q = zcosy
R = xylnz
Taking the partial derivatives, we have
\($\begin{aligned} & \frac{\partial P}{\partial x}=e^v \\ & \frac{\partial Q}{\partial y}=z \cos y \\ & \frac{\partial R}{\partial z}=x y \frac{1}{z}\end{aligned}$\)
Now, we can calculate the divergence
\($ \bar{F}=\frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}+\frac{\partial R}{\partial z}=e^v+z \cos y+\frac{x y}{z}$\)
The curl of a vector field F' = Pi' + Qj' + Rk' is given by the formula
\($curl \bar{F}=\left(\frac{\partial R}{\partial y}-\frac{\partial Q}{\partial z}\right) \bar{i}+\left(\frac{\partial P}{\partial z}-\frac{\partial R}{\partial x}\right) \bar{j}+\left(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y}\right) \bar{k}$\)
Taking the partial derivatives, we have
\($\begin{aligned} & \frac{\partial P}{\partial y}=0 \\ & \frac{\partial Q}{\partial z}=\sin y \\ & \frac{\partial R}{\partial x}=y \ln z \\ & \frac{\partial P}{\partial z}=0 \\ & \frac{\partial R}{\partial y}=x \ln z \\ & \frac{\partial Q}{\partial x}=0\end{aligned}$\)
Now, we can calculate the curl
\($curl \bar{F}=(ylnz)\bar{i}+(xlnz)\bar{j}+(siny)\bar{k}$\)
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a mathematical procedure for taking any complex waveform and determining the simpler waveforms that make up that complex pattern is known as
Answers
The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.
Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.
The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.
Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.
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Function A is a linear function. Some values of Function A are shown in the table.
Function A
x 43
X
-1
5
6
Y
537
9
Function B is a linear function with a y-intercept of 3 and an x-intercept of -5.
Which statement is true?
The slope of Function A is greater than the slope of Function B, and the y-intercept of Function
A is less than the y-intercept of Function B.
The slope of Function A is greater than the slope of Function B, and the y-intercept of Function
A is greater than the y-intercept of Function B.
The slope of Function A is less than the slope of Function B, and the y-intercept of Function A is
greater than the y-intercept of Function B.
O The slope of Function A is less than the slope of Function B, and the y-intercept of Function A is
less than the y-intercept of Function B.
Answers
The statement which is true is: A. The slope of Function A is greater than the slope of Function B, and the y-intercept of Function A is less than the y-intercept of Function B.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of function A;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 + 5)/(3 + 1)
Slope (m) = 8/4
Slope (m) A = 2.
At data point (3, 3) and a slope of 2, a function for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3 = 2(x - 3)
y = 2x - 3
For function B, we have:
x/a + y/b = 1
x/-5 + y/3 = 1
Slope (m) B = (3 - 0)/(0 + 5)
Slope (m) B = 3/5.
y = 3x/5 + 3
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
surface area of triangular prism 5 in 4 in 8 in 2 in
Answers
The Total surface of triangular prism is 112 inches.
Surface area calculation.
To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.
The given measurements are;
Base ; 5 inches and 4 inches
height is 8 inches
Length of the prism is 2 inches.
To find the total surface area, we sum up the areas of all the faces:
Total surface area = area of triangular faces + area of rectangular faces + area of lateral faces.
area of triangular faces = 5 inches × 4 inches = 20 inches.
area of the two faces = 20 ×2 =40
Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.
Area of lateral faces = 8 inches ×2 = 16 square inches
for the two lateral faces is 16 × 2 = 32 square inches.
Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.
The Total surface of triangular prism is 112 inches.
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