Answer:
Step-by-step explanation:
m∠AOB+m∠BOC=180°
m∠AOB=8x+51°
m∠BOC=6x-25°
~





m∠AOB:-



Therefore, m∠AOB=139°
Answer: 0.25 T is bigger
Step-by-step explanation:
0.25 T = 500 lb
Answer:
5+3a
Step-by-step explanation:
10 + a -5 + 2a
5+a+2a
5+3a
Answer:

<em>L= 9.086 feet</em>
Step-by-step explanation:
<u>Area of a Circular Sector</u>
Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

And the length of the arc is:

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

Solving for θ:



The arc length is:

L= 9.086 feet
Answer:
(a) we get that the fewest number of packages of cups and napkins should buy is 24.
(b) Number of sets of 3 packages of Cups and 2 packages of Napkins will be there.
Step-by-step explanation:
Given that,
Cups are sold in packages of 8.
Napkins are sold in package of 12.
To find:- (a) What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins?
From the Question,
We have to least number of packages of cups and napkins So, we find the
L.C.M of the given data because it provide the least common multiple.
So, L.c.m of 8 & 12 is



Here we get that the fewest number of packages of cups and napkins should buy is 24.
(b) How many sets of cups and napkins will there be?
Again,
Number of packages of cups should buy = 
Number of packages of Napkins should buy = 
Hence
Number of sets of 3 packages of Cups and 2 packages of Napkins will be there.