-(1.5, -3)
think of the y axis intercepting the x axis at coordinates (0,0)
-they then said their point is 1.5 left of the y axis
-now all you have to do is to find another x value of that same distance (x,y)
103^2-102^2
The property that applies here is a^2-b^2 = (a+b)(a-b)
so the answer is 103^2-102^2=(102+103)*(103-102)= numerically it is 205( as 103+102 = 205 and 103-102 = 1.....so 205*1 = 205)
The thing is that usually the factorization ends at (102+103)(102-103) ......
A: For the Dentist, their average income in 30 years is $4,282,200
B: For the Manager, their average income in 30 years is $2,592,000
C: The difference in both their earnings is $1,690,200
Work: So, I just multiplied their average earnings by 30, and that's what their average income will be in 30 years. For the difference, I subtracted the higher earning by the lower earning, and that's the difference.
I hope this helps you. :)
I believe your answer is the first option, 1/2 ft.
*Volume is expressed by length x width x height.
If we multiply the length 5/7 and the height 1 & 1/2 we get 15/14:
*To multiply fractions you must multiply across, multiply the numerator (or top number) by the numerator and the denominator (bottom number) by the denominator.
- Let's turn 1 & 1/2 into a mixed fraction to make things a little easier. 1 & 1/2 also equivalent to 3/2
-Multiply the numerators together, 5 from the 5/7 and now 3 from the 3/2
(5 x 3 = 15)
-Multiply the denominators together, 7 from the 5/7 and 2 from the 3/2
(7 x 2 = 14)
Therefore, 5/7 x 1 & 1/2 is 15/14.
Now what multiplied by 15/14 equals 15/28?
Well... 1 x 15 = 15. That gives us our numerator, 1.
2 x 14 = 28... and we have our denominator 2.
Putting those two together we get a fraction of 1/2. Your width is then 1/2 ft.
I'm so sorry for all the work here! I know it's a lot. I hope it's not too confusing to look at. Hopefully this helps!
Answer:
The answer to your question is the height of the lamp is 18.2 ft
Step-by-step explanation:
Data
Street lamp shadow = 31.5 ft
Street sign height = 8 ft
Street sign shadow = 14 ft
Street lamp height = x
Process
1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.
Street lamp height/street lamp shadow = street sign height/street sign
shadow
Substitution
x / 31.5 = 8 / 14
Solve for x
x = (31.5)(8) / 14
Simplification
x = 254.4 / 14
Result
x = 18.2 ft
