We know that
applying the law of cosines
a² = b²+ c²<span> – 2*b*c*cos(A)
cos (A)=[b</span>²+c²-a²]/[2*b*c]
in this problem
a=10
b=17
c=18
so
cos (A)=[17²+18²-10²]/[2*17*18]-----> cos (A)=0.8382
A=arc cos (0.8382)-----> A=33.05°-----> A=33°
the answer is
33 degrees
Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.
Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3
Answer:
65.37 isn't an estimated price, it's an exact price....
It is easier to write the equivalent ratios first, then use that information to find the missing values.
3. ratio: cars/trucks = 3/5, or trucks/cars = 5/3. Missing value: 6/3*5 = 10.
4. ratio: TVs/Computers = 2/7, or Computers/TVs = 7/2. Missing value: 21/7*2 = 6.
