Answer:
105km
Step-by-step explanation:
2.5/15=17.5/x (set up as a proportion)
2.5x=262.5 (cross multiply)
x=105 (Divide)
Answer: The hypotenuse is 53 (approximately)
Step-by-step explanation: In this question we shall apply the Pythagoras theorem which states that;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the two other sides. Having been given that the two other sides are 36 and 39 units respectively, the hypotenuse is now,
AC^2 = 36^2 + 39^2
AC^2 = 1296 + 1521
AC^2 = 2817
Add the square root sign to both sides of the equation
AC = 53.0754
Therefore the hypotenuse is approximately 53 units.
Rewrite it in the form; a^2 - b^2, where a = 5x and b = 6
(5x)^2 - 6^2
Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)
<u>(5x + 6)(5x - 6) </u>
Answer:
8 44/45
Step-by-step explanation:
Find the LCM of 9 and 5, which is 45.
Then, set 7/9 with a denominator as 45, so it's 35/45.
Do the same for 1/5, so it's 9/45.
Add 3 + 5 + 35/45 + 9/45 to get 8 44/45.