Answer:
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the 
we can deduce that 
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is 
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of which is our answer.
Answer: 6 hours
Step-by-step explanation: If you write an equation for this scenario it would be y = 12+3x. 12 is the starting value and x represents how many hours the bike is rented, therefore 3 dollars would be added to the initial 12 each hour. So if Lucy spent $30 then it would change to 30= 12+3x. Now you essentially just need to work backwards. Rearrange the equation and move 12 to the left of the equal sign to make 30-12=3x. Combine vairable to make 18=3x. Divide 3x by 3 to isolate x and divide 18 by 3 as well to make it even. This looks like 18/3=3x/3. Meaning it would end up as 6=x.
The answer is yes she incorrectly graphed using the points (-2,4) instead of the point (4,-2). This is the answer because if you solve the equation given you should get y=-3/5x+2/5 so a and e will be wrong and if you plug one of the points in you will give a untrue statement so its not d so you are left with b and c so you plug in the end request and you get a true statement with b equaling -2 if you plug in 4 in for x
Answer:
210
Step-by-step explanation:
GCF(30,42) = 6
LCM(30,42) = ( 30 × 42) / 6
LCM(30,42) = 1260 / 6
LCM(30,42) = 210
9514 1404 393
Answer:
60 hours
Step-by-step explanation:
We want Joanna's total savings to be ...
bank account + gift + earnings = 1000
300 +100 +10h = 1000
10h = 600 . . . . subtract 400
h = 60 . . . . . . . .divide by 10
Joanna needs to babysit for 60 hours to earn the money she needs.
