What is 2/3x + y = 2 graphed?

Answers

Answer 1
That would be
y=-2/3x+2

Related Questions

5 friends split the cost of
condiments for their hotdogs
How much do they each pay for
the condiments?
The steak cost 8.92
And 6 ounces

Answers

The total cost of the condiments, please provide that information and I can assist you further in determining how much each friend would pay for the condiments.

To determine how much each friend would pay for the condiments, we need to know the total cost of the condiments and the number of friends. Unfortunately, you haven't provided the total cost of the condiments.

Since you mentioned the cost of a steak, which is unrelated to the condiments, I'll assume that you want to split the cost of the steak among the five friends.

If the steak cost $8.92 and you want to split the cost equally among five friends, each friend would pay:

8.92 / 5 = $1.784

Each friend would pay approximately $1.784 for the cost of the steak. Keep in mind that this calculation assumes an equal split of the steak's cost not the condiments.

We must know the overall cost of the condiments as well as the number of friends in order to calculate how much each friend would pay for the condiments. Unfortunately, you haven't said how much the condiments cost in total.

I'll infer that you wish to divide the cost of the steak among the five buddies since you brought up the price of a steak, which is unrelated to the condiments.

Each buddy would pay: 8.92 / 5 = $1.784 if the steak cost $8.92 and you wanted to spread the expense evenly among five friends.

The price of the steak would be around $1.784 for each buddy. Remember that the cost of the steak is divided equally in this computation, not the cost of the condiments.

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Last oneee helpppp
Factor Completely. 6x^3 + 10x^2 - 4x

Answers

Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

Answer: 2x(3x-1)(x+2)

Step-by-step explanation:

6x^3 + 10x^2 - 4x=

2x(3x^2 + 5x - 2)=

2x(3x^2 + 6x - x - 2)=

2x(3x(x+2) - 1(x+2))=2x(3x-1)(x+2)

Quadrilateral A has side lengths 3, 6, 6, and 9. Quadrilateral B is a scaled copy of A with a shortest side length equal to 2. Jada says, “Since the side lengths go down by 1 in this scaling, the perimeter goes down by 4 in total.” Do you agree with Jada?

Answers

Answer:1/3

Step-by-step explanation:hopefully \

Answer:

yes because you are going down the numberso i agree with jada

Step-by-step explanation:

Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D

Which point is located at -0.905?.H-0.9HHH-0.8-1Choose 1 answer:APoint AB.Point BPoint CPoint D

Answers

Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

A fast food manufacturer signs a forward agreement with a potato farm to buy potatoes to make french fries. The strike price of the agreement is $0.5/lb and the maturity date is June 2023. The potato farm charges the food manufacturer $0.01 for each pound of potatoes to be delivered. The agreement is signed in May 2020. It is for 500,000 lbs of potatoes. If on the day of delivery the spot price of the potatoes (meaning the market price of the potatoes) becomes $0.75/lb what is the potato farm's profit/loss from this agreement? (you need to include the price of the contract in your calculations - Do not forget!)
Profit of $80,000
Loss of $120,000
Profit of $35,000
Loss of $50,000

Answers

The potato farm's profit/loss from the forward agreement is a loss of $120,000.

To calculate the potato farm's profit/loss, we need to consider the difference between the strike price and the spot price of the potatoes, as well as the quantity of potatoes involved in the agreement.

The agreed strike price is $0.5/lb, and the spot price on the day of delivery is $0.75/lb. The difference between these two prices is $0.75 - $0.5 = $0.25/lb.

The quantity of potatoes involved in the agreement is 500,000 lbs.

Therefore, the potato farm's loss can be calculated by multiplying the price difference per pound ($0.25) by the quantity of potatoes (500,000 lbs):

Loss = $0.25/lb * 500,000 lbs = $125,000.

However, the potato farm also charges the food manufacturer $0.01/lb for each pound of potatoes to be delivered, resulting in an additional income of $0.01/lb * 500,000 lbs = $5,000.

Taking this into account, the overall loss for the potato farm from the agreement is $125,000 - $5,000 = $120,000.

In conclusion, the potato farm's profit/loss from the forward agreement with the fast food manufacturer is a loss of $120,000.

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Given the function f(x) = -x - 3x², find the value of f(1/2) in simplest form.

Answers

Answer:

  -5/4

Step-by-step explanation:

To evaluate the function, put the value of the argument where the variable is and do the arithmetic.

Function evaluation

  f(x) = -x -3x²

  f(1/2) = -(1/2) -3(1/2)² = -1/2 -3(1/4) . . . . . use 1/2 in place of x

  f(1/2) = -2/4 -3/4 = -5/4

The value in simplest form is ...

  f(1/2) = -5/4

You wish to test the claim that μ ≤ 38 at a level of significance of α = 0.01 and are given sample statistics n = 43, s =4.7, . Compute the value of the test statistic. Round your answer to two decimal places.

Answers

The test statistic for testing the claim that μ ≤ 38 at a level of significance of α = 0.01, based on the given sample statistics of n = 43 and s = 4.7, is calculated to be -6.12.

The null hypothesis (H0) is that the population mean (μ) is less than or equal to 38, and the alternative hypothesis (H1) is that μ is greater than 38.

The level of significance (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

The sample statistics provided are n = 43, which represents the sample size, and s = 4.7, which represents the sample standard deviation.

The test statistic for this one-sample t-test is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

Since the null hypothesis is that μ ≤ 38, we can substitute μ = 38 in the test statistic formula.

Plugging in the given values, we get:

t = (x - 38) / (4.7 / √43)

However, we are interested in the value of t when μ ≤ 38, which means we are looking for the lower tail critical value. Since the alternative hypothesis is one-sided (greater than), we need to use the one-tailed critical value for a 0.01 level of significance. Using a t-table or a t-distribution calculator, we can find that the critical value for a one-tailed test at α = 0.01 with degrees of freedom (df) equal to 42 (n - 1) is approximately 2.66.

Comparing the calculated t-value with the critical value, we have:

t = (x - 38) / (4.7 / √43) = (x - 38) / 0.7234

Since μ ≤ 38, the numerator (x - 38) will be negative.

Plugging in the given values for x = sample mean and s = sample standard deviation into the formula, we get:

t = (x - 38) / 0.7234 = (-6.12) / 0.7234 = -8.47 (rounded to two decimal places)

Therefore, the test statistic for testing the claim that μ ≤ 38 at a level of significance of α = 0.01 is -8.47.

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5x4 - 7x3 + x + 2
terms

Answers

Answer:

It is already the farthest that can be

Step-by-step explanation:

5x4 - 7x3 + x + 2

5x^2 - 7x^2 + 1x + 2

Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.

Answers

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

g^2+(-4g^4)+5g+9+(-3g^3)+3g^2+(-6)

Answers

-4g^4 - 3g^3 + 4g^2 + 5g + 3

3 x 12b = 180 Find the value of b, then add.​

Answers

Anwser:

180/3=60

60/12=5

3x(12x5)=180

b=5

Step-by-step explanation:

f(x) = (5x-3) forx > 2


Let f be the function defined above. Which of the following statements is true?


a. f is neither continuous nor differentiable at x=2.

b. f is continuous but not differentiable at x=2.

c. f is differentiable but not continuous at x=2.

d. f is both continuous and differentiable at x=2.

Answers

The correct option is: b. f is continuous but not differentiable at x=2.

f(x) = (5x-3) for x > 2There is only one condition for the function to be continuous and differentiable at a point ‘c’ that is f(x) is continuous at x = c and limit of f(x) at x = c exists and equal to f’(c). Now, if we apply this condition in our given function we have;For x > 2; f(x) = (5x-3)Therefore, f(2) does not exist, therefore, f is not continuous at x=2. Hence, option A is incorrectNow we need to find the derivative of the function at x=2;f(x) = 5x - 3dy/dx = 5The derivative of the function exists and is equal to 5. Therefore the limit of the function at x=2 does not exist, hence the function is not differentiable at x=2.Therefore, the correct option is: b. f is continuous but not differentiable at x=2.

The main point is the limit of the function. For the function to be differentiable at a point, the limit of the function should exist and be equal to the derivative at that point.Let's check the continuity of the function at x=2.For x > 2; f(x) = (5x-3)For x=2, f(x) does not exist as x is defined only for x>2. Therefore, the function is not continuous at x=2.Now we will check the differentiability of the function at x=2.f(x) = 5x - 3dy/dx = 5For x=2, the limit of the function does not exist and it is not equal to the derivative at that point. Hence, the function is not differentiable at x=2.So, the correct option is b. f is continuous but not differentiable at x=2.

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a group of fish is called a school . there are twenty-five in the small school.there are one hundered twelve fish in the big school. how many fewer fish are in the small school

Answers

There are 87 fewer fish in small school compared to big school.

We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.

This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.

Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?

Given,

Number of fish in small school = 25

Number of fish in big school =  112

then,

Number of fewer fish does small school have 112 -25 = 87

Thus, there are 87 fewer fish in school than big school.

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solve this algebraic expression
\(16a {}^{4} - 4a {}^{2} - 4a - 1\)

solve this algebraic expression [tex]16a {}^{4} - 4a {}^{2} - 4a - 1[/tex]

Answers

(40'+ 227) (46 -301)
SOLVING STEPS
Tat-42-40-1
= baT.
(40'740#1)
=16a4 - pati)? = (a'+ zaHi) (42°- 20-1) a'+ sabtb"= atbs
a-B'= (ath) (0-1)
solve this algebraic expression [tex]16a {}^{4} - 4a {}^{2} - 4a - 1[/tex]

Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

At a cricket match 4/9 of the supporters are supporting the home team.
The rest are supporting the away team. 3/5 of the away team supporters
are male.
a. What fraction of all the supporters are male and supporting the away
team?
b. What fraction of all the supporters are female and supporting the away
team?

Answers

The fractions of all the supporters that are male and support the away

team is 1/3

The fractions of all the supporters that are female and support the away

team is 2/9.

What is a fraction?

A fraction is a value representing a part of a whole.

We have,

Supporters for the Home team = 4/9

Supporting for the away team = 1 - 4/9 = 5/9

Now,

Male supporters from the away team = 3/5 x 5/9 = 1/3

So,

Female supporters from the away team = (1 - 3/5) x  5/9 = 2/5 x 5/9 = 2/9

Thus,

The fractions of all the supporters that are male and support the away

team is 1/3

The fractions of all the supporters that are female and support the away

team is 2/9.

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3.
Find the value of x.
16
10
14
9

3.Find the value of x.1610149

Answers

Answer:

x = 9

Step-by-step explanation:

Both the triangles are similar, so the corresponding sides are also similar.

That is,

12 / 8 = x / 6

Cross multiply,

x * 8 = 12 * 6

8x = 72

Divide 8 on both sides,

x = 72 / 8

x = 9

Answer: Nine………………..

a basketball player scored times during one game. scored a total of ​points, two for each​ two-point shot and one for each free throw. how many​ two-point shots did ​make? how many free​ throws?

Answers

The basketball player made 10 two-point shots and 7 free throws.

To find the number of two-point shots made by the basketball player, we need to divide the total number of points scored by 2 (since each two-point shot is worth 2 points).

So, to find the number of two-point shots, we divide the total points (21) by 2:
21 / 2 = 10.5

Since we cannot have half a shot, we round down to the nearest whole number.

Therefore, the basketball player made 10 two-point shots during the game.

To find the number of free throws made, we subtract the number of two-point shots from the total number of scores.

So, to find the number of free throws, we subtract 10 from 17:
17 - 10 = 7

Therefore, the basketball player made 7 free throws during the game.

In summary:
- The basketball player made 10 two-point shots.
- The basketball player made 7 free throws.

Complete question:

A basketball player scored 17 times during one game. He scored a total of 21 pts, two for each two-point shot and one for each free throw. How many two-point shots did he make? How many free throws?

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Which of the following is the net of a cone?

Which of the following is the net of a cone?

Answers

Answer:

answer B is correct

Step-by-step explanation:

makes sense

Answer:

B

Step-by-step explanation:

A cone has this weird shape on top of the circle which looks like this curvy triangle. The rest don't have that

Let X be an exponential random variable with a given parameter λ. Show (mathematically) that for any nonnegative t1, t2 the following expression is true: P(Xt1) = P(X (Hint: use the standard formulas for exponential distribution and conditional probability.) This fact is often referred to as the "lack of memory" property of the exponential distribution. Give an
example of a practical interpretation of this fact.

Answers

we have shown mathematically that for any nonnegative values t1 and t2, P(X > t1 + t2 | X > t1) = P(X > t2), which demonstrates the "lack of memory" property of the exponential distribution.

To prove the "lack of memory" property of the exponential distribution, we need to show that for any nonnegative values t1 and t2, the following expression is true:

P(X > t1 + t2 | X > t1) = P(X > t2)

Let's start by using the definition of conditional probability:

P(A | B) = P(A ∩ B) / P(B)

In this case, we have A: X > t1 + t2 and B: X > t1. We want to find P(A | B), which is the probability that X is greater than t1 + t2 given that it is greater than t1.

We can rewrite the conditional probability as:

P(X > t1 + t2 | X > t1) = P(X > t1 + t2 and X > t1) / P(X > t1)

Since X is a continuous random variable, we can express these probabilities using the cumulative distribution function (CDF) of the exponential distribution.

P(X > t1 + t2 | X > t1) = [1 - F(t1 + t2)] / [1 - F(t1)]

where F(t) is the CDF of the exponential distribution with parameter λ.

The CDF of the exponential distribution is given by:

F(t) = 1 - e^(-λt)

Substituting this into the equation, we have:

P(X > t1 + t2 | X > t1) = [1 - (1 - e^(-λ(t1 + t2)))] / [1 - (1 - e^(-λt1))]

Simplifying, we get:

P(X > t1 + t2 | X > t1) = e^(-λ(t1 + t2)) / e^(-λt1)

Using the properties of exponents, we can rewrite this as:

P(X > t1 + t2 | X > t1) = e^(-λt2)

which is equivalent to:

P(X > t2)

Practical interpretation:

The "lack of memory" property of the exponential distribution means that the distribution does not remember its past. In practical terms, it implies that the probability of an event occurring after a certain amount of time does not depend on how much time has already passed. For example, if X represents the time until a light bulb fails, and X follows an exponential distribution, then the probability that the light bulb will fail in the next hour is the same regardless of how long the light bulb has already been in use.

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pls no files, thanks

pls no files, thanks

Answers

Answer: dont get the question sry

Step-by-step explanation:

Answer:

y =-4

x = 1

Step-by-step explanation:

Add the two equations

4x - y + 6x + y = 8 + 2 add like terms

10x = 10 divide both sides by 10

x = 1  now to calculate y replace x in first equation by 1

4x - y = 8

4 - y = 8 subtract 4 from both sides

-y = 4 and y = -4

Given : BD is a perpendicular bisectsr AD = 40 - 2 BC = 8x + 10 AC = 10x - 20 BD = 12x + 5BAD=4x+3

Given : BD is a perpendicular bisectsr AD = 40 - 2 BC = 8x + 10 AC = 10x - 20 BD = 12x + 5BAD=4x+3

Answers

\(x=\frac{100}{14}\)

Explanation

As BD is a perpendicular bisector

\(\begin{gathered} AD=DC\text{ and AC=2AD} \\ \text{replacing} \\ AC=2AD \\ 10x-20=2(40-2x) \\ 10x-20=80-4x \\ 10x+4x=80+20 \\ 14x=100 \\ x=\frac{100}{14} \end{gathered}\)

\(\begin{gathered} \\ \end{gathered}\)

Given : BD is a perpendicular bisectsr AD = 40 - 2 BC = 8x + 10 AC = 10x - 20 BD = 12x + 5BAD=4x+3

Choose all the numbers that are common multiples of 3 and 12

- 21
- 27
- 48
- 63
- 72
- 81
- 84

Answers

Answer:

Step-by-step explanation:

-48

-72

-84

basically if its divisible by 12 its divisible by 3

Which of the following lists is ordered from least to greatest?

-5, 0, 0.8, 1, 1
-3, -5, 0, 0.8, 1
-5, 0, 0.8, 1, 1
1, 0.8, , 0, -5
plz hurry and answer this

Answers

Answer:

-5,0,0.8,1,1 is the answer

Please help me ASP! Could anyone tell me what 3 x what gets me to 90?

Answers

Answer:

3*30 = 90

Step-by-step explanation:

3*30 = 90

A bag of M&Ms is dumped on the table and you count 97 blue pieces. Estimate how many total M&Ms were in the bag. 4) According to Mars, the makers of M&Ms, their factory produces 25% blue M&Ms, 25% orange, and 12.5% for each of the remaining colors. How do the tables numbers compare to these? Calculate the difference between these values and our class averages for each color. 5) What are some reasons why the M&M bags would differ from the expected distribution?

Answers

We can estimate that there were approximately 388 M&Ms in the bag. 5. The M&M bags may not be distributed as planned for a number of reasons.

What is percentage?

When a number is expressed as a fraction of 100, the denominator is always fixed at 100. It is frequently used to convey ratios, proportions, or rates in a way that is easier to grasp and compare.

On a test, for instance, if a student correctly answers 20 of the 25 questions, we can calculate their percentage by dividing 20 by 25, then multiplying the result by 100:

20/25 x 100 = 80%

Given that, you count 97 blue pieces, and they are 25%.

Thus,

0.25x = 97

x = 388

Hence, we can estimate that there were approximately 388 M&Ms in the bag.

5. The M&M bags may not be distributed as planned for a number of reasons. There is a chance that the sample of M&Ms we saw is not entirely representative of the population of M&Ms in the bag due to random sampling error. Another explanation is that there may be some natural fluctuation in the ratios of various colours in each batch of M&Ms because the manufacturing procedure at the factory is not always exact.

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For the rectangle shown which equation can be used to find the value of c
A=5
B=x
C=12

Answers

Answer: B = 1.9

Step-by-step explanation:

A=5

C=12

B=x

Pythagorean Theorem: 5^2 + x^2 = 12^2  

25+x^2=144

x^2=119

\(\sqrt{19}\)≈10.9

what type of solution would you get for -5=-5
A. one solution
B. no solution
C. infinite

Answers

Answer:

c

Step-by-step explanation:

C. Infinite
Since -5 is always equal to -5

Find the slope of the tangent line to the parabola at the point.

Answers

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Find the slope of the tangent line to the parabola at the point.

If the dimensions of a prism with surface area 42 m^2 and volume 18 m^3 are enlarged by a factor of 4, what is the surface area and volume of the prism?

Answers

Let the original dimensions of the prism be x, y, and z. Then, its surface area and volume are given by:

Surface area = 2xy + 2xz + 2yz = 42
Volume = xyz = 18

We can use these equations to solve for the individual dimensions. First, we can solve for z in terms of x and y from the surface area equation:

2xy + 2xz + 2yz = 42
2z(x + y) = 42 - 2xy
z(x + y) = 21 - xy

Next, we can substitute this expression for z into the volume equation and solve for x and y:

xyz = 18
xy(21 - xy) = 18
21xy - xy^2 = 18
xy^2 - 21xy + 18 = 0
(xy - 2)(xy - 9) = 0

So, either xy = 2 or xy = 9. Since the dimensions of a prism must be positive, we can only use the solution xy = 9. Solving for x and y gives:

xy = 9
x + y + z = 21/xy = 7/3
x = 3, y = 3, z = 1/3

Now, we can scale up the dimensions by a factor of 4 to get the new dimensions of the enlarged prism:

x' = 4x = 12
y' = 4y = 12
z' = 4z = 4/3

The surface area and volume of the enlarged prism are then given by:

Surface area = 2x'y' + 2x'z' + 2y'z' = 576
Volume = x'y'z' = 64

Therefore, the surface area of the enlarged prism is 576 m^2 and the volume is 64 m^3.

SA = 2lw + 2lh + 2wh = 42 m^2 ... (1)

And the volume of the original prism is given by:

V = lwh = 18 m^3 ... (2)

If you enlarge the dimensions of the prism by a factor of 4, then the new dimensions will be 4l, 4w, and 4h. The new surface area of the prism will be:

New SA = 2(4l)(4w) + 2(4l)(4h) + 2(4w)(4h)

= 32lw + 32lh + 32wh

= 32(2lw + 2lh + 2wh)

= 32(42)

= 1344 m^2

So, the surface area of the enlarged prism is 1344 m^2.

Similarly, the new volume of the prism will be:

New V = (4l)(4w)(4h)

= 64lwh

= 64(18)

= 1152 m^3

So, the volume of the enlarged prism is 1152 m^3.

Therefore, the surface area of the prism is 1344 m^2 and the volume of the prism is 1152 m^3 after the dimensions are enlarged by a factor of 4.

*IG:whis.sama_ent

three support beams for a bridge form a pair of complementary angels. find the mesaure of each angle

Answers


The measure of each angle formed by the three support beams for a bridge is 45 degrees.

The question states that three support beams for a bridge form a pair of complementary angles. Complementary angles are two angles that add up to 90 degrees.

Let's denote the angles as Angle A and Angle B. Since the angles are complementary, we can set up the following equation:

Angle A + Angle B = 90 degrees.

To find the measure of each angle, we need to divide 90 degrees by 2 since there are two angles.

Angle A = Angle B = 90 degrees / 2 = 45 degrees.

Therefore, each angle measures 45 degrees.

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The measure of each angle is 45 degrees.

To find the measure of each angle, we need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.

In this case, we have three support beams for a bridge that form a pair of complementary angles. Since the angles are complementary, their sum is 90 degrees.

Let's assume the measure of one angle is x degrees. The other angle will be (90 - x) degrees, as their sum is 90 degrees.

Since the three support beams form a pair of complementary angles, we can set up the equation:

x + (90 - x) = 90

By simplifying the equation, we have:

90 - x + x = 90

90 = 90

This equation is true for any value of x. Therefore, the measure of each angle can be any value, as long as their sum is 90 degrees.

So, the measure of each angle is not fixed, but it will always add up to 90 degrees.

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