2S+3>15 solving two step inequality

Answer:

1)7.288 feet

2)11.6 feet

3)safe

4) 3.7 feet

5) ∅

6)∅1

  ∅2

Step-by-step explanation:

1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.

Applying trigonometry,

tan(39) = = 0.809

Thus, s=

2) Applying pythagoras theorm,

  Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet

3) The length of ladder is 14 foot and height from ground is 13.5 feet.

Applying trigonometry,

sin(∅) =   = 0.964

∅ = angle of elevation = = 74.57 ≈ 75 degrees.

Thus tractor can climb safely.

4)Applying, pythgoras theorm,

x =

Thus, ladder should be placed at distance 3.7 feet

5)Let angle of elevation be ∅.

  tan(∅) =

  ∅

6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.

Thus,

tan(∅1) =

  ∅1

tan(∅2) =

  ∅2

Answer:

A whole number is an integer, and a mixed number is a whole number and a fraction.

Now, let's make the problem.

"Mike has 3 pies and half of one (here we have the mixed number 3 (1/2), If he sells each pie for $4. How much money did he can win?"

this is the number of pies that he has times 4 dollars:

M = (3 + (1/2))*$4 = 3*$4 + (1/2)*$4 = $12 + $2 = $14

The weight of the Alis dog is pounds.

Further explanation:

Consider the weight of the Alis dog as poundsand weight of the cat as pounds.

Since, the weight of the Alis dog is 8 times the weight of the cat. It can be written as follows:

                                                                    ......(1)

Now, the total weight of the cat and dog are given as 54 pounds. It can be written as follows:

                                                                ......(2)

From equation (1), substitute for in equation (2).

Thus, the weight of the cat is 6 pounds.

Substitute 6 for in equation (1) to obtain the weight of Alis dog as follows:

Thus, the weight of the Alis dog is 48 pounds.

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

brainly.com/question/1632445  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

brainly.com/question/1473992  

3. What are the domain and range of the function f(x) = 3x + 5?  

brainly.com/question/3412497  

Answer Details :

Grade: Middle School .

Subject: Mathematics .

Chapter: linear equation.

Keywords:

lines, equation, pound, Alis dog, cat, weight, linear equation, zeros, x,y,x=8y,x+y=54, function, substitution, pets, direct substitution, elimination, graph, middle term factorization, fraction.