Answer:
210 stamps
Step-by-step explanation:
<u>Given:</u>
- Arthur ⇒ a = 3 k
- Yusuf ⇒ y = 5k
- Bill ⇒ b = 6k
<u>Yusuf gave </u><u>x</u><u> stamps to Arthur, then:</u>
<u>Bill gave Arthur 42 stamps more than Yusuf gave to Arthur, then:</u>
- b = 6k - (x+42)
- a = 3k + x + x + 42
<u>Now all 3 have same amount of stamps:</u>
- 5k -x = 6k - x - 42 = 3k + 2x + 42
<u>From the first part of the equation we get:</u>
- 6k - 5k = 42 + x - x
- k = 42
<u>How many stamps did Yusuf have at first?</u>
- y = 5k
- y =5*42
- y = 210 stamps
Yusuf had 210 stamps at first
Answer:
Surface area of square pyramid is computed as follows:
A = a² + a*√(a² + 4h²)
where <em>a</em> is the base length and <em>h</em> is the height.
If a model of the square pyramid is scaled down by a factor of x, then the surface area will be:
A' = (a/x)² + (a/x)*√[(a/x)² + 4(h/x)²]
A' = a²/x² + a/x * √[a²/x² + 4h²/x²]
A' = a²/x² + a/x * √[(a² + 4h²)/x²]
A' = a²/x² + a/x * √(a² + 4h²)/√x²
A' = a²/x² + a/x² * √(a² + 4h²)
A' = 1/x² * [a² + a*√(a² + 4h²)]
A' = 1/x² * A
That is, the surface area will be 1/x² times the original surface area. If h = 25 ft and a = 15 ft:
A = 15² + 15*√(15² + 4(25)²) = 1008.02 ft²
The factor is not mentioned in the question, nevertheless, the area will be 1008.02/factor² ft²
The first option is the answer
Answer:
(5,-3)
Step-by-step explanation:
9x+2y=39
6x+13y=-9
---------------
117x+26y=507
12x+26y=-18
----------------------
105x=525
x=5
Substitution
9(5)+2y=39
45+2y=39
2y=-6
y=-3
