Answer:
w < 8 meters ( w must be greater than 0 because length cannot be 0)
Step-by-step explanation:
One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).
Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:
Rope Needed = 23 + 2w < 39
Simplifying:

The range of possible values of w is
meters (of course w has to be greater than 0)
3 3/4
= 3+ 3/4
= 3+ 0.75
= 3.75
The length as a decimal is 3.75 m~
Answer:
a
Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint
b
The number is 
c
The price is 
Step-by-step explanation:
From the question we are told that
The ratio of the number of cups of blue paint to the number of cups of red paint is 
Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint
Given that 1 cup of red paint => 3 cups of blue paint
x cup of red paint => 1 cup of blue paint
So

=> 
Generally the unit price of a cup of blue paint is mathematically represented as

=> 
Answer: The graph is shifted 2 units to the right.
Step-by-step explanation:
Given a function f(x), we know that one transformation rule is:
If
then the function is shifted "k" units to the right.
Therefore, for the function
, when we subtract 2 from the input, then we get the function g(x) in the form:

We can conclude that subtracting 2 from the input of the function
, then the graph is shifted 2 units to the right.
Hello!
To find the value of b, we need to use the Law of Sines. The law states,
sin A / a = sin B / b = sin C / c.
We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.
Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.
180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.
sin (55) / 8 = sin (43) / b (multiply both sides by b)
0.10239... · b = 0.68199... (divide both sides by 0.10239...)
c = 6.6607...
The measure of side b is equal to about 6.7 centimeters.