Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
25 times
Step-by-step explanation:
p(HT) p(hh) p(tt) p(HT)
h-heads
t-tails
p(hh)=(1/4*100)
25
Answer:
6=a
7=b
9=b
Step-by-step explanation:
SOMEONE DELETED MY ANSWER AND IT WAS CORRECT ANY WAY SORRY I DONT KNOW ALL OF THEM
Answer:
38 mm³
Step-by-step explanation:
Calculate the volume of the cylinder and of the cone separately.
1. Volume of cylinder
The formula for the volume V of a cylinder is
V = πr²h
Data:
D = 4 mm
h = 2 mm
Calculations:
a. Calculate the radius
D = 2r
r = D/2 = 4/2 = 2 mm
b. Calculate the volume
V = 3.14 × 2² × 2 = 25.12 mm³
2. Volume of cone
The volume for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓ × 3.14 × 2² × 3
V = 18.85 mm³
3. Calculate the total volume
V = 25.12 mm³ + 12.57 mm³ = 38 mm³
