Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below. He also knows that E is 50 m from the side AB and 30 m from the side BC. Determine the length of AE, the length of DE, and the perimeter of pentagon ABCDE

Answers

Answer 1

The diagram of the pentagon is missing, so i have attached it.

Answer:

|AE| = 130 m

|DE| = 150 m

Perimeter of pentagon = 720 m

Step-by-step explanation:

From the diagram, we can find AE from pythagoras theorem;

|AE| = √(|AA'|² + 50²)

Where AA' is the length from A to the perpendicular angle.

Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30

AA' = AB - A'B = 150 - 30

AA' = 120

Thus;

|AE| = √(120² + 50²)

|AE| = √(14400 + 2500)

|AE| = √16900

|AE| = 130

Similarly,

|DE| = √(|DD'|² + |ED'|²)

ED' = BC - 50

ED' = 140 - 50

ED' = 90

Also, DD' is parallel to AA' and is = 120

Thus;

|DE| = √(120² + 90²)

|DE| = √22500

|DE| = 150

Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720

Rahul Has A Farm He Wishes To Fence. The Farm Is The Pentagon ABCDE, Shown Below. He Knows That ABCD

Related Questions

what is 0.5 divided by 13.5? help

Answers

Answer is 0.037

Hope this helps:)

-2a3 - 3a2 + 4a + 6, 2a3 + 5a2 + 7
sum the expression

Answers

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

The ratio of the weight of copper and zinc in an alloy is 3:2. Find the weights of copper and zinc in the alloy of 140g.​

Answers

Answer:

Given the ratio of copper and zinc in an alloy is 5:3.

Let weight of copper and zinc be 5x and 3x.

Then according to the problem we have,

5x=30.5

or, x=6.1

Then weight of zinc is 3×6.1=18.3 g.

pls give brainlist

Step-by-step explanation:

Xavier created a scatterplot and a trend line for data that he collected by comparing the number of minutes he spent playing a game and the number of levels he passed.

According to the graph, which combination of minutes played and levels passed seem most likely to be possible?

A) 2 minutes played and 3 levels passed

B) 17 minutes played and 35 levels passed

C) 20 minutes played and 9 levels passed

D) 50 minutes played and 19 levels passed

Answers

Answer:

Option (C)

Step-by-step explanation:

By using regression line calculator,

Equation of the regression line will be,

y = 0.4881x - 0.85714

Here y = Levels passed

x = Number of minutes played

Now we can check every option given.

Option (A)

For x = 2 minutes,

y = 0.4881(2) - 0.85714

  = 0.11906

  ≈ 0.1

False.

Option (B)

For x = 17 minutes,

y = 0.4881(17) - 0.85714

  = 8.2971 - 0.85714

  = 7.44

  ≈ 7th level

False.

Option (C)

For x = 20 minutes

y = 0.4881(20) - 0.85714

  = 9.762 - 0.85714

  = 8.9

  ≈ 9th level

True.

Option (D)

For x = 50 minutes,

y = 0.4881(50) - 0.85714

  = 24.405 - 0.85714

  = 23.54786

  ≈ 24th level

False.

Therefore, Option (C) will be the correct option.

Answer:

c

Step-by-step explanation:

What is the range of the function graphed on the grid? { x │ x = -2, 2, 4} {y│-3 ≤ y ≤ 4} {y│ y = -3, 0, 4} { x │-2 ≤ x ≤ 4}

Answers

Answer:

The image is sideways.

But if your graph is like on the image, then the answer is: {y│-3 ≤ y ≤ 4}

Range is the set of y values

Least function value is -3 and greatest is 4

Answer:

{y│-3 ≤ y ≤ 4}

Step-by-step explanation:

Carson is training for a race. He ran 12.56 miles on one day and 12.98 miles the next day. How much farther did he run the second day than the first day? *

Answers

Answer:

.42 miles more

Step-by-step explanation:

12.98 minus 12.56

Which answer choice shows 7.931 rounded to the nearest half?
A. 7
B. 7.5
C. 8
D. 8.5

Answers

The Answer is C (which is 8)
The answer is C, I think if I’m wrong I’m sorry

Look at the photo and you can see it

Answers

Answer:

huh wym?

you will see it?

Step-by-step explanation:

A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot house. Write an equation in slope-interceptiom to represent the total cost, y, to clean a house with x square feet. Then, find the total cost to clean a house that is 4500 square feet.​

Answers

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

I need helppp
Identify the slope and y-intercept.
m=
b=

Answers

Answer:

the slope is 1/8 or 8/1 and the b=7 i think hope this helped and correct me if i am wrong

Step-by-step explanation:

What is the slope of the following line

Answers

Find any two points: (0,0), (1,3)
(3-0)/(1-0) = 3/1 = 3
Slope is 3

The position of an object in a video game is represented by an ordered pair. The coordinates of the ordered pair give the

number of pixels horizontally and vertically from the origin. Use this scenario for Exercise.

a. Suppose that player A is located at (36, 315) and player B is located at (410, 53). How far apart are the players? Round to

the nearest pixel

b. If the two players move directly toward each other at the same speed, where will they meet?

c. If player A moves three times faster than player B, where will they meet? Round to the nearest pixel.

Answers

Answer:

a. 457 pixels b. 229 pixels c. 114 pixels

Step-by-step explanation:

a. Using d = √[(x₂ - x₁)² + (y₂ - y₁)²] to find the distance apart of the coordinates (x₁, y₁) and (x₂, y₂) where (x₁, y₁) = (36, 315) and (x₂, y₂) = (410, 53).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(410 - 36)² + (53 - 315)²]

= √[374² + 262²]

= √[139,876 + 68,644]

= √208,520

= 456.64

= 457 pixels to the nearest pixel.

b. Since the players are d' distance apart, and moving at a same speed of v, if they approach each other, they meet at time t. So player A covers a distance of d = vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when vt = d' - vt.

Solving this, we have

vt = d' - vt

vt + vt = d'

2vt = d'

t = d'/2v

Substituting t into d = vt, we have

d = vt

= v(d'/2v)

= d'/2

= 457/2

= 228.5

≅ 229 pixels  to the nearest pixel

c. Since the players are d' distance apart, and player A moves at a speed three times that of player B, if player B moves with speed v, then player A moves with speed 3v, as they approach each other, they meet at time t. So player A covers a distance of d = 3vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when 3vt = d' - vt.

Solving this, we have

3vt = d' - vt

3vt + vt = d'

4vt = d'

t = d'/4v

Substituting t into d = vt, we have

d = vt

= v(d'/4v)

= d'/4

= 457/4

= 114.25

≅ 114 pixels to the nearest pixel

i need help plz i need 100 or imma fail plz help me

Answers

Answer:

B

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

B

Step-by-step explanation:

The triangle reflects over the y-axis ,which is the vertical line, and then has a translation 2 units down

please help I will mark brainlest and give 40 points

Answers

Answer:

15 is the slope and 70 is the y-intecpet

Step-by-step explanation:

Give an example of a time when you used estimation to solve a problem.

Answers

Answer:

I wanted to know how many stars are in the sky above my house I counted and made the estimate of 80

hey bro's help me!!​

Answers

Answer:

-7 and 12 gl

Step-by-step explanation:

Answer:

1. -7

2. 12

Step-by-step explanation:

Hope this helps :)

PLZZZZ ANSWER

Martin drinks 1/4 of a litre of juice each day.

Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.

Martin buys enough juice to last for 2 weeks (14 days).

What is the lowest price Martin can pay for this juice?

Answers

Given :

Martin drinks 1/4 of a litre of juice each day.

Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.

To Find :

Martin buys enough juice to last for 2 weeks (14 days).

What is the lowest price Martin can pay for this juice.

Solution :

Amount of litre used in 14 days is :

V = 14× ( 1/4 )

V = 3.5 liter

Lowest price to pay is :

P = 2 × Cost of one 2 L carton

P = £(2 × 3.60)

P = £7.2

The lowest price Martin can pay for this juice is £7.2 .

Hence, this is the required solution.

if f(x)=x-5/4 and f-1(x)=25 find the value of x​

Answers

Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

(g(x))⋅g

(x)=1

1+(g(x))

4

1

⋅g

(x)=1

g

(x)=1+[g(x)]

4

A gallon of Moo Milk costs $5.12. What is the price, in dollars, of an 8 ounce glass of Moo Milk?
There are 128 ounces in 1 gallon

Answers

Answer:

Your answer is 42

please mark me brain list

HELPPPP FASTTTT
PLEASEEEEEEEEEEEE

Answers

Answer:

Function A has a greater slope than Function B.

Step-by-step explanation:

An easy way to solve this would be to graph function B and see which line is steeper. The steeper line always has greater slope.

Answer:

A

Step-by-step explanation:

its function would be y=4x+2

WHOEVER ANSWERS FIRST GETS BRAINLIEST

A regular six-sided number cube is rolled 300 times. Select the outcomes that are
expected to occur about 50 times.
O A. A number greater than 4 is rolled.
B. 3 is rolled.
O C. A number less than 2 is rolled.
O D. An odd number is rolled.
E. 5 is rolled.

Answers

B C E if it is choosing more than one option

A block of wood is in the shape of a rectangular prism with dimensions (n+5) cm, (n+8) cm, and (n+14) cm. All faces of the block are painted, and then the block is cut into 1 cm cubes using parallel cuts to each face. If exactly half of the cubes have no paint on them, find the total number of cubes.

Answers

Answer:

The total number of cubes in the rectangular prism are 1,120 cubes

Step-by-step explanation:

The given parameters are;

The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)

The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560

The quantity of the 1  cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube

The cubes that have paint on them are the surface cubes, we have;

One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);

Therefore, we have

2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)

2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0  

Which gives;

n³ + 15·n² + 30·n - 128 = 0

n = 2

n = -17/2 - √(33)/2 = -5.6277

n = √(33)/2 - 17/2 = -11.3722

Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2

The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³

Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.

Find the area of the figure

Answers

Answer:

45 I'm pretty sure. so it 45

Answer:

The figure is 5.5in^2.

Step-by-step explanation:

To find the area of the triangle portion, we will use the formula for area of a triangle, [tex]\frac{bh}{2}[/tex], where b = base and h = height.

So lets find our variables,

b = 3

h = 3

So we can plug that into our equation and find the area,

3 · 3 = 9 and 9 ÷ 2 = 4.5

So the area of the triangle is 4.5in^2

To find the area of the square portion, we will use the formula for the area of a square or rectangle, l · w, where l = length and w = width

So lets find our variables,

l = 1

w = 1

So 1 · 1 = 1in^2

To find the total area we will add the areas of the two components together,

4.5 + 1 = 5.5in^2

So the area of the total figure is 5.5in^2.

PLEASE HELP, I WILL MARK BRANLIEST AND THANKS!!!
Draw the shape made by slicing the CUBE (THINK: A CUBE HAS 6 SIDES THAT ARE THE SAME MEASURE) parallel to its bases.

Answers

Step-by-step explanation:

hope it helps you

i think your question was this only

I need help these. Thank you. :)

Answers

Answer:

the answer is 3 hope this helps

of 10
Find the gradient of the line segment between the points (2,-2) and (0,-6).

Answers

Answer:

The answer is 2

Step-by-step explanation:

The gradient of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{ - 6 - - 2}{0 - 2} = \frac{ - 6 + 2}{ - 2} = \frac{ - 4}{ - 2} = 2 \\ [/tex]

We have the final answer as

2

Hope this helps you

I really need help please I will mark you as brainlist

Answers

15/2 = $7.5 per hour
7.5 times 5 = $37.50 earned in 5 hours

Answer: 30

Step-by-step explanation:

The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?
h(t)=-3t^2+12t+40

Answers

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?

Answers

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

The formula for area of a triangle is given by: A=bh/2 Rearrange the formula to solve for b

Answers

Answer:

b =  2A

         h

Step-by-step explanation:

A=bh/2

2A = bh

b =  2A

          h

Answer:

b=(2a)/h

Step-by-step explanation:

Multiply both sides by 2

2A=bh

Divide both sides by h

(2a)/h=b

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