Answer:
Step-by-step explanation:
12
This is what we call a 45-45 traingle
This means that the lengths of the two non-hyptonouse lengths are the same
luckily we're given that it's 6√2
We can then use the pathagaryem theory to solve for the last side
we have
(6√2)²+(6√2)²=x²
Put this into your calculator and get
144= x²
x = 12
Answer:
∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.
Answer: Let c represents the time spends in producing a cockpit and p represents the time spends in producing a propulsion system. Thus, According to the question, Machine A ran for 26 hours and produced 4 cockpits and 6 propulsion systems.⇒ 4 c + 6 p = 26And, Machine B ran for 56 hours and produced 8 cockpits and 12 propulsion systems,⇒ 8 c + 12 p = 56Hence, the system of equations that will be used to find a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system is,4 c + 6 p = 26, 8 c + 12 p = 56But both lines are parallel,Hence there is no solution of this system,Therefore, we can not solve for a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system.
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
The other constrain would be the number of hours it takes to make each one.
4 hours for a mountain bike would be 4x
5 hours for a road bike would be 5y
The hours need to be less than or equal to a total of 300 hours.
The missing constraint would be 4x + 5y ≤ 300.