Answer:
and 
Step-by-step explanation:
(a)
A = 
× 4
× 
= 2 ×
= 
× 
← rationalise the denominator
= units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4 )² + ( )²
= 32 + 
= 
+
= 
( take the square root of both sides )
h = 
= 
× ← rationalise the denominator
h =
Answer:
1. 81 2. -20 3. 168 4. -24
Step-by-step explanation:
I hope this is right :)
Answer:
It's 155
Step-by-step explanation:
Since the whole angle is 180
And u got 25
So 180-25=155
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
The stack of cards are 1 inch tall all together taking up 8 inch’s (cubed)or half of the space
