Answer:
a) 1/2
about 50%
Step-by-step explanation:
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the wall and the ground. The height of the ladder represents the hypotenuse of the right angle triangle.
Let x represent the distance from the top of the ladder to the bottom of wall. This forms the opposite side of the triangle.
The distance from the top of the ladder to the bottom of wall is 7ft more than the distance from the bottom of the ladder to the wall. This means that the distance from the bottom of the ladder to the wall is x - 7. It represents the adjacent side of the triangle.
To find the distance from the bottom of the ladder to the wall, we would apply Pythagorean theorem.
Hypotenuse² = opposite² + adjacent²
13² = x² + (x - 7)²
169 = x² + x² - 14x + 49
169 = 2x² - 14x + 49
2x² - 14x + 49 - 169 = 0
2x² - 14x - 120 = 0
Dividing through by 2, it becomes
x² - 7x - 60 = 0
x² + 5x - 12x - 60 = 0
x(x + 5) - 12(x + 5) = 0
(x - 12)(x + 5) = 0
x = 12 or x = - 5
the distance cannot be negative, so x = 12
the distance from the bottom of the ladder to the wall is
x - 7 = 12 - 7 = 5 feet
Answer:
y = (4/9)x - 4
Step-by-step explanation:
4x - 9y = 36
4x - 9y - 4x = 36 - 4x
- 9y = -4x + 36
- 9y/(-9) = (-4x + 36)/(- 9)
y = (4/9)x - 4
Answer:
52metre
Step-by-step explanation:
Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is
( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]
But we need to convert those mixed fractions to improper fraction for easy simplification
1 1/4= [(4×1)+4]= 5/2
3 1/4=[(4×3)+1)]=13/4
Then we can proceed with simplification as
(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]
But we were given length of the actual peace of land as 20 cm, then
(5/2)/(13/4)=[blueprint of the plot of land/20]
If we cross multiply we have
[blueprint of the plot of land] ×13/4 =5/2 ×20
[blueprint of the plot of land] =(5/2 ×20)÷(13/4)
= 50/(13/4)
=(4×13)/50
= 52
Therefore, the length of the actual peace of land is 52metre