Answer:
We'll use the following identities:
r = √(x2 + y2), from which we also have r2 = x2 + y2
y = r*sinθ
First, let's re-write your equation:
r = 8*sin(θ). Multiply both sides by r:
r2 = 8r sin(θ)
Now, we'll use substitute using the identities:
x2 + y2 = 8y
Re-arrange and complete the square:
x2 + y2 - 8y = 0
x2 + (y-4)2 - 16 = 0
x2 + (y-4)2 = 16
This represents a circle with center (0,4), and radius 4.
Step-by-step explanation:
sorry if it wrong
Hi :)
The volume of a sphere is
V = 4/3 (pi) r^3
Supposing "length" as diameter
We can take the radius
2.40/2
1.2 is the radius of the sphere.
Inserting the radius into the formula
V = 4/3 (pi) 1.2^3
The volume is aproximately 7.24cm^3
Answer:
D
Step-by-step explanation:
y_2 - y_1 / x_2 - x _1
4 - 2 / 3 - (-1) = 2/4 = 1/2
y +4 = 1/2 (x + 3) distributive property
y + 4 = 1/2x + 1.5
y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)
therefore your equation is y = 1/2x - 5/2
hope this helps :)
Answer:
B. m∠RTS = 78°
Step-by-step explanation:
The sides GH and GI of ΔGHI have the same length, so their opposite angles, ∠I and ∠H will have the same measures. Call that measure "x".
The sum of angles in a triangle is 180°, so we have ...
24° +x +x = 180°
2x = 156° . . . . subtract 24°
x = 78° . . . . . . divide by 2
The triangle similarity statement tells you that ∠T will have the same measure as ∠I, which is x, or 78°.
m∠RTS = 78°
