Answer:
Obtuse because it bigger than an acute and a right angle
Every 24 days Matt will do both on the same day.
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer:
All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these
All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these
Step-by-step explanation:
All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these
All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these
Using an linear function, we have that:
- The inequality is:
- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:
It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:
Then:
The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
