Answer:
a ≈ 5.3
Step-by-step explanation:
Using Pythagoras' theorem
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 6² = 8², that is
a² + 36 = 64 ( subtract 36 from both sides )
a² = 28 ( take the square root of both sides )
a = ≈ 5.3 ( to the nearest tenth )
9514 1404 393
Answer:
10.8 miles
Step-by-step explanation:
The distance between (-3, -4) and (3, 5) can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((3 -(-3))^2 +(5 -(-4))^2) = √(6^2 +9^2) = √117
d ≈ 10.8
It is about 10.8 miles from the mall to the park.
Tony walks 116.7 m diagonally across the lot.
Solution:
Length of the rectangle = 80 m
Width of the rectangle = 85 m
<u>To find the diagonal of the rectangle:</u>
Diagonal of the rectangle =
Diagonal of the rectangle = 116.7 m
Hence Tony walks 116.7 m diagonally across the lot.