Can you work this out please? Answer and working please.

BDC=28 °

BD =10.02cm

Step-by-step explanation:

To solve this problem, we have to consider some basic circle theorems and their practical applications-

By using these two theorems we proceed-

In the given figure chord BD subtends equal angles at the opposite circumference i.e. ∠BAC and ∠BDC

Therefore ∠BAC = ∠BDC=28°  ∴ ∠BDC=28 °

Since diameter subtends a right angle at the circumference, ∴ ∠BCD=90

Hence, ΔBDC is a right-angled triangle with BD as the hypotenuse.

BC=4.7cm

Thus sin (∠BDC)= BC/BD     (∠BDC=28 )

BD= BC/sin 28 °

Putting the values of BC and Sin 28 °

BD= 4.7/0.469=10.02 cm

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.