Answer:
D
Step-by-step explanation:
4 units
6 is the answerI equations
Find the volume of a cylinder, we need to follow the formula:
Volume = πr2h
Following the formula, we substitute for:
π×82×10
π=3.14, so we multiply it:
= 640π
= 2010.6192982975 feet3
Answer:
a) clockwise sense
b) x² + y² = 1
c) y ∈ [0,1]
Step-by-step explanation:
a) x = cos (t) y = -sin (t)
for t ∈ [ 0 , 2π ]
for t = 0 point P is x = cos (0) = 1 y = -sin (0) y = 0
The point is on the x axis
Now let´s see what happens for t = π/4
x = cos (π/4) x = √2/2 and y = - sin (π/4) y = - √2/2
Note π/4 is 45°
The coordinates of the new point P ´(t = π/4) are in the fourth quadrant
that means the point is moving clockwise sense.
b) x = cos(t)
y = -sin(t)
Squaring on both sides of each equation we get:
x² = cos²t
y² = sin²(t)
Adding side by side
x² + y² = cos²t + sin²t
x² + y² = 1
Values for y are y ( 0 , 1)
Answer:
B. m ∠Z = 32°
Step-by-step explanation:
Given:
Δ ABC ≅ Δ XYZ
m ∠ C = 32°
When 2 triangles are congruent we can say that all side of 1 triangle are equal to corresponding sides of other triangle.
Side AB= Side XY And Side BC = Side YZ and side AC = side XZ
Also,
When 2 triangles are congruent we can say measure of all angles of 1 triangle are equal to measures corresponding angles of other triangle.
m ∠A = m ∠X and m ∠B = m∠Y and m ∠C = m ∠Z
m ∠ C = 32° hence m ∠ Z = 32°
