Answer:
The total number of couples attending the banquet was 52.
Step-by-step explanation:
Given that a school reserved a banquet hall for the spring dance, and that, in addition to a $ 100 deposit, each couple must pay $ 20, to determine the total number of couples attending if the total cost of the banquet hall was $ 1,140 is due perform the following calculation:
100 + (20 x X) = 1140
20X = 1140 - 100
X = 1040/20
X = 52
Thus, the total number of couples attending the banquet was 52.
Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is 
where 
is the radius.
The radius of the given sphere is 
yards and 
.
Therefore, we can substitute in the radius and solve:
cubic yards
Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
CD+DE=CE
(30+3x)+(25+2x)=15
55+5x=15
x=-8
CD=30-24=6
Answer:
100
Step-by-step explanation:
Because you just add 10, 10 times
