Answer:
They started at 4:45 pm
Step-by-step explanation:
Time spend at the mall:
15 minutes in the shoe store
1 hour shopping for a dress
30 minutes eating
Total 1 hour 45 minutes
x + 1 hour 45 minutes = 6:30
Subtract 1 hours
5 : 30 pm
Subtract 45 minutes
4 :45 pm
They started at 4:45 pm
Answer:
The answer to the first question is B.
The answer to the second question is C.
4(6x+4)-5(3x-6) First you distribute 24x+16-15x+30 then you add like terms so 24x-15x is 9x. 16+30 is 46. So the answer is 9x+46
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
A billion has 9 zeros. So
15,000,000,000
:)
