Given that,
Alonzo is $120 in debt. He makes $15 per hour. He wants to have at least $75 left over after he has paid off his debt.
To find,
The inequality and the solution.
Solution,
Let he make $x per hour. Here, $120 is fixed. $15 is added per hour.
ATQ,

For atleast, we use
.
Subtract 120 from both sides.

So, the required answer is greater than -3.
Answer:
tan
Step-by-step explanation:
take 19 degree as reference angle
using tan rule
tan 19=opposite/adjacent
0.34=14/x
x=14/0.34
x=41.17
x=41.2
Since
and
, we can rewrite the right side of the equation as

Using the identity
, we can subtract
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes

We can now write our whole equation as

Adding 2 to both sides:

dividing both sides by 3:


When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A=
=
= 4
32- 4 = 28 units sqr
Answer:
They will spend less at the sunny side hotel
Step-by-step explanation:
The attachment completes the question.
From the question, we understand that there are 4 individuals involved.
- Mr. Preston (1)
- Mrs. Preston (1)
- The children (2)
And they will spend one night
First, we need to calculate the expenses in Traveler's hotel.
(for 3 people)
(for 1 person)
(for 4 people)

Total Expenses



For Sunny Side hotel:
(for 4 people)

Total Expenses:


By comparison, they will spend less at the sunny side hotel.