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valentina_108 [34]
3 years ago
7

One circle has a diameter of 6 inches. A larger circle has a diameter that is 4 times the diameter of the circle. what is the ra

tio of the area of the smaller circle to the larger circle?
A. 2:3
B. 1:6.4
C. 1:16
D 1:64
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

C, 1 : 16

Step-by-step explanation:

Small Circle

The radius is half of the diameter. 3 inches.

π×r²=A

We'll use 3.14 for pi.

3.14×9

28.26 in²

Bigger Circle

6×4= 24

So the diameter is 24. The radius is 12.

3.14×12²

3.14×144

452.16 in²

Let's divide.

452.16÷ 28.26

= 16

Therefore, the answer is C, 1 : 16.

Hope this helps, please mark brainliest if possible :)

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geniusboy [140]

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.

5 0
2 years ago
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A simple association forms between two events when ___________
qaws [65]

Answer:

The events occur together

Step-by-step explanation:

A simple association forms between two events when these events occur together dependently.One event will rely on another to happen first for it to take place.In this case, the occurrence of one event influences the probability of the other event happening.

7 0
3 years ago
Lean wants to giftwrap a present she got for her little brother. how many square inches of giftwrap will be needed to cover a bo
Natalka [10]
Check the picture below.

so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.

the front and back are two 5x3 rectangles

the left and right are just two 3x7 rectangles

and the top and bottom are just two 5x7 rectangles

so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.

4 0
3 years ago
Determine if each of the following sets is a subspace of Pn, for an appropriate value of n.
snow_tiger [21]

Answer:

1) W₁ is a subspace of Pₙ (R)

2) W₂ is not a subspace of Pₙ (R)

4) W₃ is a subspace of Pₙ (R)

Step-by-step explanation:

Given that;

1.Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R

2.Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R

3.Let W₃ be the set of all polynomials of the form p(t) = at² + at, where a is in R

so

1)

let W₁ = { at² ║ a∈ R }

let ∝ = a₁t² and β = a₂t²  ∈W₁

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t²) + c₂(a₂t²)

= c₁a₁t² + c²a₂t²

= (c₁a₁ + c²a₂)t² ∈ W₁

Therefore c₁∝ + c₂β ∈ W₁ for all ∝, β ∈ W₁  and scalars c₁, c₂

Thus, W₁ is a subspace of Pₙ (R)

2)

let W₂ = { t² + a ║ a∈ R }

the zero polynomial 0t² + 0 ∉ W₂

because the coefficient of t² is 0 but not 1

Thus W₂ is not a subspace of Pₙ (R)

3)

let W₃ = { at² + a ║ a∈ R }

let ∝ = a₁t² +a₁t  and β = a₂t² + a₂t ∈ W₃

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t² +a₁t) + c₂(a₂t² + a₂t)

= c₁a₁t² +c₁a₁t + c₂a₂t² + c₂a₂t

= (c₁a₁ +c₂a₂)t² + (c₁a₁t + c₂a₂)t ∈ W₃

Therefore c₁∝ + c₂β ∈ W₃ for all ∝, β ∈ W₃ and scalars c₁, c₂

Thus, W₃ is a subspace of Pₙ (R)

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NeX [460]
Don’t take my word for it but if there’s no x then it might be undefined.
Sorry if I’m incorrect
4 0
3 years ago
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