Answer:
The correct option is B. The length of OB' is 3 units.
Step-by-step explanation:
The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.
The length of OB' is 3 units. Therefore the correct option is option is B.
Answer:
- area ≈ 176.7 cm²
- circumference ≈ 47.1 cm
Step-by-step explanation:
The radius is half the diameter, so is ...
r = d/2 = 15 cm/2 = 7.5 cm
The area formula is ...
A = πr²
Filling in the radius, we have ...
A = π·(7.5 cm)² = 56.25π cm² ≈ 176.7 cm² . . . area
__
The circumference formula is ...
C = πd
Filling in the diameter, we have ...
C = π·(15 cm) = 15π cm ≈ 47.1 cm . . . circumference
Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that 
and 
, then:
The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that 
and 
, then:
The length of BC is 51 units.
