Answer:
A would be correct.
Step-by-step explanation:
Just show that triangles AOB,BOC,COA are all congruent (then all the sides of triangle ABC must be equal). To show this, note that triangles A′BO,A′OC are equilateral since they are all radius of the circles. Line OA′ is perpendicular to line BC. Hence, ∠OBC=∠OCB=30∘.
<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,

Substituting the values, r = 3 and V = 57, we get;

Simplifying the terms, we get;

Multiplying both sides of the equation by 3, we get;


Dividing both sides of the equation by 28.26, we get;

Thus, the height of the cone is 6.05 units.
Answer:
The answer is 250 in interest.
Step-by-step explanation:
I=prt, I=(500)(0.05)(10)
Answer:
see explanation
Step-by-step explanation:
Given that the the difference of cubes is
a³ - b³ = (a - b)(a² + ab + b²)
Given
64
- 27 ← a difference of cubes
with a = 4x² and b = 3, thus
= (4x²)³ - 3³
= (4x² - 3)(16
+ 12x² + 9) ← in factored form
Answer:
9 (5e - 3f)
Step-by-step explanation:
45e -27f
45e = 9*5*e
27f = 9*3*f
The common factor is 9
9*5*e - 9*3*f
9 (5e - 3f)