Answer:
c) 6
Step-by-step explanation:
This is a straight-forward application of the Law of Cosines:
... a² = b² + c² -2bc·cos(A)
... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462
... a² ≈ 36.07000
... a ≈ 6.00583
The best choice is c) 6.
Answer:
Step-by-step explanation:
To find the inverse of a function you take it in y=f(x) form, switch x and y and then solve for the new y.
So I'll do the first one.
f(x) = 8x-10
y=8x-10 Now switch x and y
x = 8y-10 Now solve for y.
x+10=8y
(x+10)/8 = y
g(x) is not that, so it is not the inverse. Can you figure out the second one?
Answer: 72
<u>Step-by-step explanation:</u>
There are 9 students to choose from to go the library. After that person is chosen there are 8 students remaining.
First student and Second student
9 x 8 = 72
Width = X
Length = X + 15
Perimeter of a Rectangle = 2W + 2L
2(X) + 2(X + 15)
2X + 2X + 30
4X + 30
Answer = 4X + 30
Hope this helps! :)
Answer:
3x ≤ 12 x≤4
Step-by-step explanation:
If Antonio has only $12 to spend on the milk, then the inequality sign should be less than or equal to. Since he can not go over 12. So from this you must figure out how many cartons he can buy. 12/3 = 4. So the maximum amount he can buy is 4 cartons.