Kamila has a rectangular lawn that measures 80 by 150 feet. she wants to lay gravel made from colored rock in a border, 6 feet wide, all around the lawn. create a diagram that shows kamila’s rectangular lawn and the gravel border. assign variables to any unknown sides and label the diagram. use your diagram to determine how many square feet of the gravel border will surround the lawn. kamila decided that the depth of the gravel needs to be 2 inches. what is the total volume of gravel needed for the border? (hint: dimensions must be in terms of the same unit before you can calculate the volume) d. a large bag of colored rock contains of a cubic yard and costs $30. what is the total cost of the rocks needed for the border? (hint: the volume of the border must be in terms of a cubic yard before you can calculate the cost) in your final answers, include all formulas, equations, and calculations necessary to determine the correct answers.

The total cost of the rocks needed for the border is $538.80.

Step-by-step explanation:

The length of the lawn is = 150 feet

The width of the lawn is = 80 feet

The gravel border will be 6 feet wide from all sides.

So, bigger rectangle will have length = feet

And width will be = feet

Area of the bigger rectangle = square feet

Area of the smaller rectangle = square feet

So, area of the gravel area will be = square feet.

Now depth of gravel is 2 inches. So, volume will be area of gravel times depth.

We will convert 2 inches in feet.

12 inches = 1 feet

So, 2 inches = feet

cubic feet

1 cubic foot = 0.037037 cubic yard

So, 484.97 cubic feet = cubic yards

Now cost of gravel per cubic yard is $30.

So, total cost will be = dollars

Therefore, the total cost of the rocks needed for the border is $538.80.

Please find attached the diagram of the lawn.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.