Answer:

Step-by-step explanation:
Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.
We need to find the dot product a · b.
The formula of dot product is

where, θ is the angle between a and b.
Substitute the given values in the above formula.


![[\because \cos (\pi-\theta)=-\cos \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%28%5Cpi-%5Ctheta%29%3D-%5Ccos%20%5Ctheta%5D)


Rationalize the above equation.



Therefore, the value of a · b is
.
For any polynomial equation, The Fundamental Theorem of Algebra tells you that the highest degree present will tell you how many complex roots the equation has. There are only two terms, "
" and "3". The
term has a degree of 5, its exponent. The 3 term has a degree of zero, because you could write it as
using the zero exponent rule.
The degrees present are 5 and 0. Choose the highest one, 5. So, the answer here is D.
Answer: C.teaching music at an orphanage.
Step-by-step explanation: Antonio Vivaldi's music career was mainly spent in the Ospedale Della Pieta. Antonio Vivaldi sure did make a difference. composer and violinist all around Italy. It was in the year 1713 that he made the villa") in Vincenza. After his debut, in the year 1718, he continued to tour all different operas and concertos.
Antonio Lucio Vivaldi started his career in music by becoming a violin teacher at an orphanage for girls in Venice called ‘Ospedaledella Pieta’ in 1703.
Answer:
35000 - 2500m
Step-by-step explanation:
Height of the airplane before it starts descending = 35,000 feet
Rate of descend = 2500 feet per minute
This means for every 1 minute the height of airplane is decreasing by 2500 feet. So, for every "m" minutes the height of airplane will decrease by 2500m feet.
Let h(m) denotes the height of the airplane after m minutes. The equation for h(m) can be set up as:
Height of airplane at m'th minute = Original Height - Distance descended in m minutes
So,
h(m) = 35000 - 2500m
This expression describes the height of airplane after any number of minutes(m).
Answer:
110 degrees
Step-by-step explanation:
the angles stay the same even if the size changes!