Answer:
C
Step-by-step explanation:
The ratio is 1:4 so 1 of the object equals 4 of the scale drawing
30*4=120^2 cm
You would do 5 x 4 then it will give you 20. after that you will multiply 20 x 1200 and it would give you 24000. (p.s when you multiply 5 x 4 you are finding the # of the boxes
To fill:
6 hours = 1 tank
1 hour = 1/6 tank
To drain:
It takes 4 times as long, therefore 4 x 6 = 24
24 hours = 1 tank
1hour = 1/24 tank
If both pipes are open
1 hour = 1/6 - 1/24 = 1/8 tank
1/8 tank = 1 hour
8/8 tank = 1 x 8 hour
1full tank = 8 hours
Answer:
1.) x = 14.96ft
2.) The shorter leg is 6 meters
Step-by-step explanation:
1.) a^2 + b^2 = c^2
- a and b = legs of the triangle
- c = hypotenuse the longest side
15ft^2 + x^2 = (2x +1)^2
- 225 = 2x^2 + 1 - x^2
- 225 = x^2 + 1
- 225 - 1 = x^2 +1 - 1
- √224 = √x^2
- x = 14.9662...
2.) Longer leg a = x+2, shorter leg b = x, Hyp. c= 2x-2
Equation:
Solve:
- (x+2)(x+2) + x^2 = (2x-2)(2x-2)
- x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
- -2x^2 + 12x = 0
- 2x (-x + 6) = 0
Answers:
- 2x = 0
- -x + 6 = 0
- <u>x=0 -or- x=6</u>
<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>
<u>B=6</u>
Check:
- A = x + 2: A= 6 +2 = 8
- B= 6
- C = 2x -2: C= 2(6) -2 = 10
8^2 + 6^2 = 10^2
