PLEASE HELP WITH THIS ONE QUESTION

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

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The potential difference between the points (0, y) and (x, y) is given by the equation V = 3x^2y - 6yx.

e. 3x^2y-6y

The potential difference between two points (x, y) and (0, y) is given by the equation V = -E⋅x. The electric field in the region is given by the equations E; fzy and Ey (0, Y) and (X,Y). Using these equations, the electric field in the region can be calculated as E = 3x^2y - 6y. Therefore, the potential difference between the points (0, y) and (x, y) is given by V = -(3x^2y - 6y)⋅x = 3x^2y - 6yx.

The potential difference between the points (0, y) and (x, y) is given by the equation V = 3x^2y - 6yx.

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer: 49.4 thats the answer i devided it

Answer:

29 Hope this helps

Step-by-step explanation:

"Given expression is :  

First we will simplify both numerator and denominator separately using order of operations. So....

Thus the expression.... "

-Sicista

Answer:

The technique used to graph the equation y = 9x + 4 using the slope and y-intercept is to mark a point at 4 on the y-axis, go up 9 and right one and mark this point. This is because the slope of the equation is 9 and the y-intercept is 4, so the graph can be plotted by starting at the y-intercept and moving up 9 units and right 1 unit. Unfortunately I need to wrap this conversation up and can only talk a little more. Is there anything you'd like to discuss before we close?

Step-by-step explanation:

Considering the given proportion, the value of \(\frac{a}{a - b}\) is:

C) 2

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)

Hence option C is correct.

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The probability of getting a number greater than 5 is = 1/6

Option (b) is correct.

The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.

Die with numbers; 1,2,3,4,5,6

A number greater than 5 on the dice

A number greater than 5 is,6 out of which only one Number appears while throwing dice

So, using the formula :

probability(number greater than 5)= favorable outcome/ total number of outcomes

The probability of getting a number greater than 5 is = 1/6

The complete question is -

The probability of getting a number greater than 5 in throwing a die is

a) 1/3

b) 1/6

c) 3/4

d) 2/3

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Answer:

3x-1y

Step-by-step explanation:

i think that Is that

Answer:

what is 4x+3y-x-4y?

Simplify the expression.

Final answer: 4x+3y-x-4y = 3x-y

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.

Have a great rest of your day/night!

Question A) A 99% confidence interval estimate of his population mean finishing time of 100 meters race is (12.8081,15.5919)

Question B) Option II) narrower is the correct Option.

What is  linear equation?

An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.

                         The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.

Let X be the time required to finish 100 meters race competition with Tom ( in seconds.)

A) A 99% confidence interval estimate of his population mean finishing time of 100 meters race is (12.8081,15.5919)

x = 14.2

s^2= 0.9867

s= 0.9933

α/2, n-1 = 3.7074

Margin of error= 1.3919

lower bound= 12.8081

upper bound= 15.5919

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The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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Answer: deeper than 32.

represented by the graph below

1) break down if it would be at most 32, the inequality would be \(\leq\) less or equal.

2) less than 32 wont be cuz we can see the shaded area in the graph or

solve the equation to find p<32.

so b) deeper than 32. is the answer

Answer:

b

Step-by-step explanation:

80/2.5=32

for instance if his dive was 33 feet then 33*2.5=82.5 which is at least 80

if it was 31 feet then 31*2.5=77.5 which would not be at least 80

so the answer is b because a and c are under 80 which would not be at least 80

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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Answer:

John takes 20 steps in 10 yards.

Step-by-step explanation:

1 yard = 36 inches

10 yards = 36 x 10 = 360 inches

Since John's step covers 18 inches, divide 360 by 18.

360/18 = 20 steps

Answer:

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.

Answer:

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure...

y = mx + b

In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...

y = mx + b

6 = 4(-5) + b

6 = b - 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

The solution to the system of equations, -x + y = 3 and 4x + y = 8 is: x = 1, y = 4.

If we are given two equations in a system, such as:

-x + y = 3 --> eqn. 1

4x + y = 8 --> eqn. 2

To solve by substitution, rewrite equation 1:

-x + y = 3

y = 3 + x --> eqn. 3

Substitute the value of y into equation 2:

4x + (3 + x) = 8

4x + 3 + x = 8

5x + 3 = 8

5x = 8 - 3

5x = 5

x = 1

Substitute the value of x into eqn. 3:

y = 3 + 1

y = 4

The solution is x = 1, y = 4.

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Answer:

5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Step-by-step explanation:

Given that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

11 bakers can make 89 pretzels in 2.5 hours, that is, 35.6 per hour (89 / 2.5), and 3,236 per baker per hour (35.6 / 11).

3/4 = 0.75

Therefore, 5.75 bakers, making 3.236 per hour during 1.5 hour, will make the following amount of pretzels:

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

Answer:

x = ⅛

Step-by-step explanation:

Examining the figure given, ED is an angle bisector.

Therefore, according to the angle bisector theory, EH/EG = HD/GD

EH = 56mm

EG = 44.8mm

HD = 35mm

GD = (x+4) mm

56/44.8 = 35/(x+4)

Cross multiply

56*(x+4) = 35*44.8

56x + 224 = 1,568

Subtract 224 from both sides

56x = 1,568/224

56x = 7

Divide both sides by 56

x = 7/56

x = ⅛

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

1.5

1.5%

10/0

7/20

35.1%

8.20%

8.20

Step-by-step explanation:

there u go

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

Part a

we have the points (3,7) and (3,-4)

Note that the x-coordinates are equal

that means

Is a vertical line (parallel to the y-axis)

that means

Verify

m=(-4-7)/(3-3)

m=-11/0 ----> undefined

Part b

we have the points (-2,5) and (9,5)

Note that the y-coordinates are equal

That means

Is a horizontal line (parallel to the x-axis)

Verify

m=(5-5)/(9+2)

m=0/11

m=0

Answer: B 0.3350

Step-by-step explanation: I took the quiz

The proportion of park users jog on the park trail is 0.3350

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given; The attached table

Required to Determine the proportion that jog on the park frail

The total number of residents (sample) is 400

From the table, those that jog are 134

The proportion (p) is then calculated as:

p = 134 / 400

p = 0.3350

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The complete question is;

An urban planner collects data on how park trails are used by residents. The planner looks at two trails one that winds through an urban area and another in a suburban park. The table shows the number of users who walk, jog, or bike the trail.

Answer:

3.024 is greater.

Step-by-step explanation:

3.05 is greater because it expanded is 3.050 vs. 3.024. 3.024 is closer to 1, so it's greater.

Check the picture below.

Answer:

The perimeter is 220 , the area should be 100 ,

Step-by-step explanation:The perimeter of the square is 40 because it’s all sides added together & they are all even - The perimeter of a circle is always 360 and this is half of a circle so that is a perimeter of 180; you add that to 40=220. The area is two sides multiplied together=100 for the square. You find the area of the half circle by doing the area of a circle divided by 2.

Answer:

19x would be your answer.

Step-by-step explanation:

The product is reffering to multiplication. A number is reffering to a variable.

For example, "...the product of 57 and a number" the answer would simply be 57x or whatever variable.