Answer:
The formula of a²-b² are as follows:
Step-by-step explanation:
(a-b)(a+b)
(9/12) / (1/8) =
3/4 * 8 =
24/4 =
6 <=== u would use 6 one-eights size measuring cups to equal 9/12 of corn syrup
2x+y=9
3x+5y=19
I will do this problem in 2 ways. I.)Substitution II.)Elimination
Solution I.) Substitution
We can subtract 2x from both sides in the first equation.
y=9-2x
Now we can substitute the y in the second equation with 9-2x
3x+5(9-2x)=19
-7x+45=19
-7x=-26
x=26/7
y=9-2(26/7)=11/7
Solution II.)Elimination
We can multiply both side of first equation by 5 to get a 5y in both equations.
10x+5y=45
Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.
(10x+5y)-(3x+5y)=45-19
7x=26
x=26/7
2*26/7+y=9
y=11/7
Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.
Answer:
4.50 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite / hypotenuse
sin 40 = ? / 7
Multiply each side by 7
7 sin 40 = ?
4.499513268 = ?
To the nearest hundredth
4.50 = ?