Fire Department Ground Ladders

Help needed with Imp Mathematics?
36- The larger of two numbers ecxeeds twince the smaller number by 8. The sum of twince the larger and 3 times the smaller number is 65. If x is the smaller number, which equation below determines the correct value.
F- 3(2x + 8 ) + 2x = 65
G- 3(2x –
+ 2x = 65
H- (4X +
+ 3X = 65
J- 2(2x +
+ 3x = 65
k- 2(2x –
+ 3x =65
37- Members if the fire department lean a 30 foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. The nearest foot, how up the building does the ladder reach?
10, 20 , 28, 31, 40
39 – The ratio of the side lengths for a triangle is exactly 12:14:15. In a second triangle similar to the first, the shortes side is 8 long. To the nearest tenth of an inch, what us thel length of the longest side of the second triagle?
Thanks in advanced!!! Hope all of you are having an awesome weekend!!
Hi,
36- The larger of two numbers exceeds twice the smaller number by 8. The sum of twice the larger and 3 times the smaller number is 65. If x is the smaller number, which equation below determines the correct value.
x = smaller
2x + 8 = larger
The sum of twice the larger and 3 times the smaller number is 65.
2(2x +
+ 3x = 65
F- 3(2x + 8 ) + 2x = 65
G- 3(2x –
+ 2x = 65
H- (4X +
+ 3X = 65
J- 2(2x +
+ 3x = 65 <==ANSWER
k- 2(2x -
+ 3x =65
37- Members if the fire department lean a 30 foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. The nearest foot, how up the building does the ladder reach?
10, 20 , 28, 31, 40
10² + b² = 30²
100 + b² = 900
b² = 800
. . . .____
b = √800 = 28.28
28 <==ANSWER
39 - The ratio of the side lengths for a triangle is exactly 12:14:15. In a second triangle similar to the first, the shortest side is 8 long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?
12 . . . 8
---- = -----
15. . . .x
12x = 8(15)
12x = 120
x = 10 <==ANSWER
I hope that helps!!
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