Answer: a) 110√2 meters
b) 2.42 hectares
<u>Step-by-step explanation:</u>
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
b) Area of a square is side squared. 10,000 meters² = 1 hectare
Answer:
Step-by-step explanation:
In rectangle, the diagonals are equal bisect each other.
⇒ OA = OB
⇒ΔAOB is an isosceles triangle.
In ΔAOB,
x + x + 120 = 180°
2x + 120 = 180
2x = 180 -120
2x = 60
x = 30°
In ΔABD
∠A + ∠ABD ∠BDA = 180
90 + 30 + ∠BDA = 180
∠BDA = 180 - 90 -30 = 60°
ΔABD is 30 - 60 - 90 triangle.
The ratio of sides of 30-60-90 triangle is x : x√3 : 2x
x →shortest leg which is opposite ot 30°
∵ x = AD = 20
x√3 → longest leg which is opposite to 60°
x√3 ( AB) = 20*1.732
AB = 34.64
Area of rectangle = length * width
= 34.64 *20
= 692.8
≈ 693 square units
Answer:
5 dolla footlong
Step-by-step explanation:
use photomath the app it will help you alot
Answer:
y=1/3x-11
Step-by-step explanation:
Perpendicular to y=-3x
Get the negative reciprocal to find your new slope
1/3x is our new slope
y=mx+b
Plug coordinates in:
-2=-3(-3)+b
-2=9+b
b=-11