Answer:
130.54°
Step-by-step explanation:
The formula for law of cosines is c^2= a^2+ b^2 -2ab cos(C),
a,b, and c are the sides of the triangle. C is the angle opposite to the side c.
To solve this problem add the given values into the formula, and solve for C.
10^2=5^2+ 6^2- 2(5)(6) cos(C)
100=25+36 - 2(5)(6) cos(C)
100=25+36 -60 cos(C)
100=61 -60 cos(C)
39= -60 cos(C)
cos^-1 (-39/60)= C
130.54°=C
Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:
16 cups
-----------
1 gallon
this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.
16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons
I can cross multiply to find x.
1 gallon • x cups = 16 cups • 1/4 gallons
16 times 1/4 is the same as 16/4, which equals 4.
1 gallon • x cups = 4 cups gallons
divide both sides by gallons
x cups = 4 cups
so! 1/4 of a gallon equals 4 cups.
Answer:
Answer is 90,000
Step-by-step explanation:
Hope this helps!
Answer:
He can only make 9
Step-by-step explanation:
He will have 4 cards left over so it will not be enough to make another stack.
Slope= Ya-Yb/Xa-Xb
Slope= 5+3/2+3
Slope=8/5
Equation: y-ya=slope(x-xa)
Equation: y-5=8/5(x+3)
Then D is the correct answer