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Given:
Height of right triangle = 9 mi
Hypotenuse = 17.5 mi
Base of right triangle = Distance across lake
To find:
The distance across the lake.
Solution:
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
Subtract 81 from both sides.
Taking square root on both sides.
⇒ base = 15
The distance across the lake 15 mi.
18 !
27/x = 12/8
Cross multiply and then solve
Answer:
It will increase by 9 units.
Step-by-step explanation:
We can write the lowest number as 10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.
Subtracting:
10(a + 1) + a - (10a + a +1)
= 10a + 10 + a - 10a - a - 1
= 10a - 10a + a - a + 10 - 1
= 10 - 1
= 9.
Alright, so we know that 1 inch is 16 feet on the model. The model that we have is 11.5 inches in length.
To figure this out, simply multiply 11.5 by 16, which equals 184.
This gives us a ratio of 11.5 : 184, which is the same as 1 : 16. You can also write proportions as fractions, so 11.5 / 184 and 1/16 are the same, both equaling 0.0625.
The final answer is 184 ft
