Alexander is blocking off several rooms in a hotel for guests coming to his wedding. the hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4 people. alexander reserved 4 more large rooms than small rooms, which altogether can accommodate 58 guests. determine the number of small rooms reserved and the number of large rooms reserved.

Small rooms=6

large rooms=10

Step-by-step explanation:

Let the number of small rooms be x

given alexander booked 4 more large rooms than the small rooms.

Therefore the number of large numbers be x+4.

Given each small room can accommodate 3 people.Therefore the total number of people in small rooms are 3x

Given each large room can accommodate 4 people. Therefore the total number of people in large rooms are 4(x+4)

Given total number of people accommodated=58

Total number of guests =number of guests in small rooms + number of guests in large rooms

therefore the number of small rooms =6  and  number of large rooms =10

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

168

step-by-step explanation:

i am pretty sure that the answer is 168