find the area of the polygon shown

The area of the triangle according to the information given in the  question is 17/8.

A triangle is a three-sided polygon that is also known as the trigon.

Angles in a triangle are formed by connecting the three sides end to end at a point.

Consider the following right-angled triangle, with vertices (0,-4), (0.0), and (1,0).

Its legs are 4 and 1 meters long, and its hypotenuse is 42+12=17 meters long.

The height "h" (altitude) of this triangle drawn to the hypotenuse is easily determined.

Based on the area, we get the equation (41)/2=(1/2)17h h=4/17 h=0.970143.

As we can see, it is not a single unit.

It means that the triangle's legs should be 17/4 as long as the original triangle's legs (1 unit and 4 units).

As a result, the area of the seeking triangle is (1/2)(17/4)(417/4) = (1/2)(17/4) =17/8

As a result, the area of the triangle in the question is 17/8.

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ4

The type of correlation is determined by the relationship between variables in terms of the proportion of change between them that is multiple proportion.

A proportion is the relationship between two quantities, often expressed as a ratio or fraction.

"Simple correlation" refers to the relationship between two variables, where a change in one variable is associated with a change in the other variable in a consistent manner.

"Multiple correlation" refers to the relationship between three or more variables. In this type of correlation, the proportion of change in one variable is associated with the proportion of change in other variables.

"Zero correlation" refers to the absence of any relationship between two variables. In this type of correlation, there is no consistent proportion of change in one variable that is associated with a change in the other variable.

Therefore correct option is (b).

To know more about correlation here

https://brainly.com/question/29195162

#SPJ4

Here you go sry it took so long

All the answers to the various operations given from question 1 to 6 have been explained and answered below.

1) We want to use order of operations to solve;

105 - 7² + (72 ÷ 9)

From order of operations which is BODMAS.

First operation for our given expression is bracket. Thus;

72 ÷ 9 = 8

Thus, we now have;

105 - 7² + 8

Next is addition;

7² + 8 = 57

Thus, we now have;

105 - 57 = 48

2)   884284

   - 349407

      534877

3) 6 ÷ ²/₇

⇒ 6 × ⁷/₂

⇒ 21

4) Kevin makes $78.37 per day. Thus;

Amount he makes in 7 days = 78.37 × 7

⇒ $548.59

5) Product of 1389 and 6.58

⇒ 1389 × 6.58

⇒ 9139.62

6) We want to use distributive property to express 27 + 60.

Now, in distributive property, it implies that;

a(b + c) = ab + ac

Thus, let us get the greatest common factor of 27 and 60 and factorize it out.

GCF of 27 and 60 is 3. Thus;

27 + 60 = ((3*9) + (3*20))

⇒ 3(9 + 20)

⇒ 3(29)

⇒ 107

Read more at; https://brainly.com/question/16267305

Answer:

5.275, 146/25, 5 17/20, 6.27

Step-by-step explanation:

This how you but this decimals and fractions from least to greatest. I hope this helps

The density of a substance is a measure of its mass per unit volume. The density of a substance is calculated by dividing its mass by its volume. In this case, the mass of the copper sample is 83.21 g and its volume is 683 cm³.

To find the density, we use the formula:

Density = Mass / Volume

Plugging in the values:

Density = 83.21 g / 683 cm³

Calculating this, we find that the density of the copper sample is approximately 0.122 g/cm³.

The density of a substance is a measure of how much mass it has in a given volume. In this case, the copper sample has a relatively low density, meaning it is less dense compared to substances like gold or lead.

Density is an important property as it helps us identify and classify materials. For example, substances with higher densities will sink in water, while substances with lower densities will float.

Understanding the concept of density is useful in various fields, including chemistry, physics, and engineering. By knowing the density of a substance, we can determine its behavior under different conditions and use it to make informed decisions in various applications.

In summary, the density of the copper sample is approximately 0.122 g/cm³.

To know more about Density Of Substance visit:

https://brainly.com/question/20338976

#SPJ11

Answer:

Simplified expression is 26y - 18

Step-by-step explanation:

15y - 10 + y(2 + 9) - 8

15y - 10 + 2y + 9y - 8

26y - 18

Answer:

give me the rest of the question/ a picture or something then i can answer

Step-by-step explanation:

They suffer loss by selling bananas at 65c.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Cost of one box = R75

Then, cost of three boxes = R75 x 3

                                            = R225

Now, one box has 12 bunches of 12 bananas each.

Then, one box contain = 12 x 12 = 144 bananas

and, 3 box contain = 144 x 3 = 432 Bananas

If managed to sell 80 % of the bananas then they sold

= 432 x 0.8 = 346 Bananas

So, they earned by selling those bananas

= 346 x 0.65

= R224.9

Thus, they suffer loss.

Learn more about Percentage here:

https://brainly.com/question/29749683

#SPJ9

Answer:

3h

hope this helps

have a good day :)

Step-by-step explanation:

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

For more such questions on feasible region

https://brainly.com/question/29084868

#SPJ8

Answer:

Step-by-step explanation:

Use the equation x = -b/2a => x = -12/6 = -2.

Step-by-step explanation:

Nnnnnnnnnnnn is a great way to get a new phone and I am not sure if you are interested in the position of the position and the position of the company and the company is a

Answer:

\(49^{\frac{7}{2} }*81^{\frac{-1}{4} }*49^{\frac{5}{2}} \div343^{ \frac{-1}{3}}\\\\(7^2)^{\frac{7}{2} }*(3^4)^{\frac{-1}{4} }*(7^2)^{\frac{5}{2}} \div(7^3)^{ \frac{-1}{3}}\\\\7^7*3^{-1}*7^5 \div 7^{-1}\\\\7^{12} * 3^{-1} *7^1\\\\7^{13}*3^{-1}\)

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

Learn more about hour:

https://brainly.com/question/13533620

#SPJ4

Answer:

59

Step-by-step explanation:

60 + 61 + m<4 = 180

m<4 = 59°

Answer:

x=-1

Step-by-step explanation:

x+3=-x-5

2x=-2

x=-2/2

x=-1

x = -4

Step-by-step explanation:

First you need to get the x by itself. You add the x from the right side to the left leaving 2x+3=-5. Then you subtract 3 from both sides leaving 2x=-8. Then you divide both sides by 2 which leaves x= -4

The field is full of 18 horses and 15 geese.

Let's assume that there are x horses and y geese in the field. The number of heads can be represented as x + y = 33. The number of feet can be represented as 4x + 2y = 102.

We can use substitution to solve for one variable in terms of the other. From the first equation, we can solve for y in terms of x:

y = 33 - x

Substituting this expression for y into the second equation, we get:

4x + 2(33 - x) = 102

Expanding and simplifying the expression, we get:

4x + 66 - 2x = 102

Solving for x, we get:

2x = 36

And x = 18

So there are 18 horses in the field. Substituting this value for x into the expression for y, we get:

y = 33 - x = 33 - 18 = 15

So there are 15 geese in the field. Thus, the field is full of 18 horses and 15 geese.

Find out more about field

brainly.com/question/29082737

#SPJ4

Answer:

60%

Step-by-step explanation:

I hopes this helps.

(a) To compute Vf(x, y), we need to find the gradient of the function f(x, y). The gradient of f(x, y) is given by (∂f/∂x, ∂f/∂y):

∂f/∂x = 2x + y

∂f/∂y = 4y + x - 2

Therefore, Vf(x, y) = (2x + y, 4y + x - 2).

(b) To find the direction in the xy-plane that would lead to the fastest decrease in elevation, we need to determine the direction of the negative gradient at the rover's current location. At the point (0, 1), the gradient Vf(0, 1) = (1, -2). Thus, the rover should move in the direction of (-1, 2) to decrease its elevation most quickly in the xy-plane.

(c) Given the path r(t) = (x(t), y(t)) = (t - t², 1 - 2t), we need to compute df/dt using the chain rule. The chain rule states that df/dt = (∂f/∂x)(dx/dt) + (∂f/∂y)(dy/dt).

Applying the chain rule, we have:

df/dt = (2x + y)(dx/dt) + (4y + x - 2)(dy/dt).

Substituting x(t) = t - t², y(t) = 1 - 2t, dx/dt = 1 - 2t, and dy/dt = -2, we can compute df/dt accordingly.

Note: Since the path r(t) is provided, we can substitute the corresponding values and calculate df/dt.

Learn more about directional derivatives: brainly.com/question/29644440

#SPJ11

Answer:

8.68 × 10^8

Step-by-step explanation:

--------------------

Answer:

8.68x10^8

Step-by-step explanation:

move 8 times to the left

Answer:

a- 25.99

b- The y intercept here is the price of the pants as for x =0, no shirts from the sale were bought only one pair of pants

c- slope m is 15.5

d- the price of the shirts

e- x= no of shirts= 3

f- y= total = 103.49

for e - y=72.49= 15.5x +25.99

15.5x =72.49-25.99

15.5x = 46.5

hence x =3

for f y=15.5 x 5 + 25.99

hence y= 103.49

Answer:

17. i

18. a

19. g

20. d

21. h

22. j

23. b

24. f

25. c

26. e

Answer:

(x-4,y+8)

Step-by-step explanation:

Given

\(Point = (x,y)\)

Required

Translate

8 units up

The general rule for up translation is;

\(f'(x,y) = f(x,y+h)\)

Where h is the unit translated up

In this case:

\(h = 8\)

So, we have:

\(f'(x,y) = f(x,y+8)\)

4 units left

The general rule for up translation is;

\(f'(x,y) = f(x-b,y)\)

Where b is the unit translated left

In this case:

\(b = 4\)

So, we have:

\(f"(x,y) = f(x -4,y+8)\)

Hence, the rule of translation is: (x-4,y+8)

Answer:

translation is

x-4,y+8

Step-by-step explanation:

We have proved that square matrix A is invertible if and only if A^T A is invertible.

Given that we have to prove that a square matrix A is invertible if and only if A^T A is invertible.

Proof :We are given that A is a square matrix. Suppose A is invertible. Let A^(-1) be the inverse of A.

We want to prove that A^T A is invertible. That is, we want to show that there exists a matrix B such that (A^T A)B = B(A^T A) = I. In other words, we want to show that A^T A is invertible, and that its inverse is B.

To prove this, let B = A^(-1)(A^T)^(-1). Then,(A^T A)B = A^T AA^(-1)(A^T)^(-1) = I(Because A^(-1)A = I and (A^T)^(-1)A^T = I)

Similarly ,B(A^T A) = A^(-1)(A^T)^(-1)A^T A = IA^(-1)(Because (A^T)^(-1)A^T = I)

Hence A^T A is invertible and its inverse is B.

Thus we have shown that if A is invertible then A^T A is also invertible.

Now suppose A^T A is invertible. We want to show that A is invertible. To prove this, we will show that the equation Ax = 0 has only the trivial solution x = 0.

Suppose that Ax = 0, where x is a column vector. Then we have,A^T Ax = A^T 0 = 0

This equation implies that x is in the null space of A^T A. But since A^T A is invertible, the null space of A^T A is {0}. Therefore, x = 0, and we have shown that the only solution to Ax = 0 is x = 0. Hence A is invertible.

Know more about matrix here:

https://brainly.com/question/30828476

#SPJ11

The term or terms that could be used to describe a gold sample that is completely free of impurities are:

Pure gold: This term indicates that the sample consists solely of gold without any impurities or other elements.

100% gold: This term emphasizes that the sample is entirely composed of gold and contains no other substances.

High purity gold: This term signifies that the gold sample has a high level of purity, indicating minimal or negligible impurities.

Unalloyed gold: This term indicates that the gold sample is not mixed or combined with any other metals or alloys, making it pure and free of impurities.

These terms highlight the absence of impurities and emphasize the high quality and purity of the gold sample.

To learn more about impurities : brainly.com/question/32369276

#SPj11

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

About complex numbers here:

https://brainly.com/question/20566728

#SPJ11

Answer:

42

Step-by-step explanation:

hey 42+9=51 so this can be the ✔️answer

By the limit comparison test, the series ∑(1+9^n)/(4n) from n=1 to infinity diverge

We are asked to determine whether the series ∑(1+9^n)/(4n) from n=1 to infinity is convergent or divergent.

We can use the ratio test to determine the convergence of the series. Let's compute the ratio of the (n+1)th term to the nth term:

[(1+9^(n+1))/(4(n+1))] / [(1+9^n)/(4n)]

= (1+9^(n+1))/(1+9^n) * (n/ (n+1))

As n approaches infinity, the term (n/(n+1)) approaches 1, and the ratio becomes:

(1+9^(n+1))/(1+9^n)

Since the ratio does not approach a finite value as n approaches infinity, the ratio test is inconclusive. Therefore, we cannot determine the convergence of the series using the ratio test.

However, we can use the limit comparison test with the series 1/n^p, where p=1/2. Let's compute the limit of the ratio:

lim n→∞ [(1+9^n)/(4n)] / [1/n^(1/2)]

= lim n→∞ (n^(1/2) * (1+9^n))/(4n)

= lim n→∞ (n^(1/2) + 9^n/ (4n^(1/2)))

Since the first term approaches infinity as n approaches infinity and the second term approaches zero, the limit diverges. Therefore, by the limit comparison test, the series ∑(1+9^n)/(4n) from n=1 to infinity diverges.

Learn more about comparison test here

https://brainly.com/question/31474165

#SPJ11