1. A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.

500 inequality (>) 345 x 9 days

Answer:

45

Step-by-step explanation:

Let the length of the shorter leg be represented as x.

Let the length of the longer let let be represented as x+15

While the length of the hypotenuse be 2x-15.

From the knowledge of phythagoras theorem:

x^2+(x+15)^2 = (2x-15)^2

x^2+x^2+15x+15x+225 = 4x^2-30x-30x+225

2x^2+30x+225 = 4x^2-60x+225

2x^2-4x^2+30x+60x+225-225=0

-2x^2+90x+0= 0

2x^2-90x = 0

Divide through by 2

x^2-45x=0

x(x-45)=0

x = 0 or x-45=0

Considering x-45=0

x-45=0

x = 45

If x is for the shorter leg,

The length for the longer leg is: x+15

= 45+15

= 60

For the hypotenuse = 2x-15

= 2×45-15

= 90-15

= 75

Answer:

120 days

Step-by-step explanation:

7 days off x 4 days off = 28 days off, so you have to multiply 30 x 4 which equals 120

Answer:

Option (1)

Step-by-step explanation:

Minus notation of the elevations from the sea level represents the distance below the sea level and positive notation represents the elevations above the sea level.

+7 → 7 meters above the sea level

-3 → 3 meters below the sea level

[tex]+\frac{1}{2}[/tex] → 0.5 meters above the sea level

-0.8 → 0.8 meters below the sea level

+0.8 → 0.8 meters above the sea level

[tex]-\frac{1}{10}[/tex] → 0.1 meters below the sea level

-2 → 2 meters below the sea level

Therefore, +7 meters above the sea level will be the farthest point from the sea level.

Option (1) will be the answer.

Answer:1 the answer would be 1%

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

divide 1 by 100 then get the answer

Answer:

yes it is proportional and the constant is 45$ every # of hours

Step-by-step explanation:

Answer:

12 is the constant

Step-by-step explanation:

12 is the constant number because it doesn't have a variable that can change it

Answer:

12 is your answer have a good day!!

Answer: 68x + 36y

Step-by-step explanation:

Combine Like Terms:

= 19x + 4y + 49x + 32y

= (19x + 49x) + (4y + 32y)

= 68x + 36y

Hope this helped you!

Answer:

68x + 36y

Step-by-step explanation:

You can compeletely get rid of the parenthesis because it is addition through and thorough.

You have 19x + 4y + 49x + 32y

You can combine like terms to get

19x +49x which is 68x

and

4y + 32y which is 36y

You now have 68 + 36y which cannot be simplified anymore because the variables are different.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

A: CX and XW= 25     B: BY XY= 36

C: AX AZ= 9

Step-by-step explanation:

Answer:

2+2=4

Step-by-step explanation:

Answer

y = 10

Step-by-step explanation:

if they are both negative they cancel each other out so -10 x -1 are both negative it would be 10 so y = 10

please mark brainly

Answer: D - 70 Degrees

Step-by-step explanation:

The sum of the missing degree and the degree given should equal 180 degrees.

So if you subtract 110 from 180, you get 70

Answer:

wheres the expression

Step-by-step explanation:

70.8 mins - 90 mins = 19.2  minutes

Answer:

a. 15h + 40 ≤ 140

b. h ≤ 6.6

Note: The question is missing a table. The table is shown in the attachment below.

Step-by-step explanation:

a. The school group has $140 to spend, and so can only spend an amount less than or equal to $140 when renting the main hall.

The cost of renting the main includes an hourly rate of $15 and a set-up fee of $40.

Let  h represent the number of hours the group can rent the hall.

Cost of renting the main hall, C is given by:

15h + 40 ≤ 140

b. Solution of the inequality:

15h + 40 ≤ 140

15h ≤ 140 - 40

15h ≤ 100

h ≤ 100/15

h ≤ 6.6

Therefore, the main hall can only be rented for a maximum of 6.6 hours or less

Answer:

honestly i felt that lol people on here can be wack

Answer:

I agree.

Step-by-step explanation:

Given:

The inequality is

[tex]2n+8>12[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]2n+8>12[/tex]

Subtract 8 from both sides.

[tex]2n+8-8>12-8[/tex]

[tex]2n>4[/tex]

Divide both sides by 2.

[tex]\dfrac{2n}{2}>\dfrac{4}{2}[/tex]

[tex]n>2[/tex]

It means, the value of n is greater than 2.

Therefore, the solution of given inequality is n > 2.

Answer:

5 dots

Step-by-step explanation:

If it isnt is because I dont have more info

Answer:

y=4x+5

Step-by-step explanation:

x= the number of hours

y= total number of money

4x means each hour = 4 dollars

5 = the rent of the shoes

Therefore, y = 4x + 5

Answer:

make x zero

Step-by-step explanation:

make x zero

then solve for Y

Answer:

for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0  Correct me if I am wrong

Step-by-step explanation:

Use the slope formula

-4-4 =-8

  /               =-2

1 - -3=4

2. The second part use this formula y-y1=m(x-x1)

     y--4=-1(x-3)

y+4=-x+3

  -4      -4

y+0=-x-1

 y=-x-1      or -1x-y-1=0    I am not sure  

Answer:

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-3}{5-\left(-1\right)}\\\\m =\frac{11-3}{5+1}\\\\m=\frac{8}{6}\\\\Simplify\\\\m=\frac{11-3}{5-\left(-1\right)}[/tex]

Yes  (-4, -1)  is on the same line with the other wo points.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\\\mathrm{Slope\:}\left(-4,\:-1\right),\:\left(5,\:11\right)\\\left(x_1,\:y_1\right)=\left(-4,\:-1\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-\left(-1\right)}{5-\left(-4\right)}\\\\Simplify\\m=\frac{4}{3}\\\\\mathrm{Slope\:}\left(-1,\:3\right),\:\left(-4,\:-1\right)\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:-1\right)\\\\m=\frac{-1-3}{-4-\left(-1\right)}\\\\Simplify\\\\m=\frac{4}{3}[/tex]

Answer:

5

Step-by-step explanation:

44.95-29.95=15/3=5

Answer:

Step-by-step explanation:

Step one:

we are told that  the cost of the sofa is $275

also, he sells it for 40% more of the cost price

let us find 40% of $275

=40/100*275

=0.4*275

=110

=$110

Step two:

This means that the selling price is 275+110

=$385

profit = selling price- cost price

profit=385-275

profit=$110

Answer:

m = 124 degrees.

Step-by-step explanation:

The sum of the interior angles of a triangle is 180.

The angle opposite m + 56 + 68 = 180.

The angle opposite m = 56.

The angle opposite m + m = 180, so 56 + m = 180.

Angle m = 124.