Answer:
Length of BH is 2 units.
Step-by-step explanation:
We have, ΔABC with ∠ABC = 90° and an altitude BH.
Also, it is given that the length of sides AH is 4 units and HC is 1 units.
Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.
So, we get that,
i.e. 
i.e. 
i.e. 
Since, the length of the side cannot be negative.
So, length of BH is 2 units.
Answer:
Below in bold.
Step-by-step explanation:
tan 150 = -tan 30
= -1/√3 = y/x (1)
This is a unit circle so the hypotenuse = 1.
so sin 150 = y/1 = y
y = 1/2
So substituting in equation (1)
1/2 / x = -1/√3
-x = √3/2
x = -√3/2.
Answer:
12
Step-by-step explanation:
The circumference of a circle is given as
Circumference = 2πr
Where; r is the radius of the circle
The diameter of a circle is 2 times the radius of that circle. It cuts the circle into 2 equal halves
Given, circumference of the circle = 12π
12π = 2πr
make r the subject by dividing both sides by 2π
12π/2π = 2πr/2π
r = 6
Diameter = 2r
= 2 X 6 = 12
Answer:
An equation that can be used to model these data is of the form: y = A cos B(x - C) + D,
where A,B,C,D, are constants, y is the temperature in °C and x is the month (1–12).
