Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
Answer:
1728/ 125
Step-by-step explanation:
The ratio of corresponding lengths of the figures = ratio of the square root of their areas.
So ratio of lengths = 12/5.
Now volume is 3 dimensional so the ratio is the cube of the lengths
= 12^3/5^3
= 1728/ 125.
Answer:
There were 6 guides on Sunday.
Step-by-step explanation:
Same ratio
On Saturday, 120 tourists and 18 guides.
On Sunday, 40 tourists and x guides.
Due to the same ratio:





There were 6 guides on Sunday.
Answer:Area of wall =

ft
Explanation:First, we know that:1 in = 1/12 ft
Therefore, the dimensions of the wall would be as follows:H = 7 ft 10 in =

ft
B1 = 10 ft 2 in =

ft
B2 = 14 ft 1 in =

ft
For the trapezium, area can be calculated using the following the following formula:Area of trapezium = Average base * height =

* height
Substitute with the given to get the area as follows:Area of wall = ([

+

] / 2) *

Area of wall =

ft
Hope this helps :)