Answer:
47 meetings
Step-by-step explanation:
1. You know the company generates 100,000 dollars in profits, and pays 50,000 dollars to host the event, therefore, subtract both numbers to determine how much profit they make.
100,000 - 50,000 = 50,000 dollars
2. You now know that company generates 50,000 dollars in profits for each meeting
3. You also know that the company is aiming for a profit of 2.35 million, so you would divide the the goal by the total profits per meeting
2,350,000/50,000 = 47
It takes 47 meetings for the company to reach their goal.
Answer:5Π/4
Step-by-step explanation:
arcsin(−√2/2) = -45°
Note that the angle is negative and according to quadrant, sine is negative at the 3rd and 4th quadrant.
In the 3rd quadrant, the equivalent angle is (180+theta) while at the 4th quadrant it is (360-theta.)
Using the 3rd quadrant which will give us the least value,
theta = 180+45
= 225° (note that the minus sign only tells us the quadrant sine falls into, hence we cant use the minus during addition)
therefore theta = 225°
Since 180° = Πrad
225° to rad = 225×Πrad/180
= 5Π/4 rad
Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
A rigid motion of the plane is a motion which maintain distance.
Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.
A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.
So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.
It’s 45%
Explanation = 31900-22000/22000 • 100 = 45%