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asambeis [7]
3 years ago
13

The radius of a circle is 6. Using T, which equation expresses the ratio of the circumference of the circle to the circle's diam

eter?
Mathematics
2 answers:
nata0808 [166]3 years ago
6 0
122278272662222211111111
Liono4ka [1.6K]3 years ago
5 0

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

\frac{\text{C}}{\text{D}}=\pi

Since, diameter 'D' = 2r,

\frac{\text{C}}{\text{2r}}=\pi

\frac{\text{C}}{2\times 6}=\pi

\frac{\text{C}}{12}=\pi

Therefore, equation given in Option (B) will be the correct expression.

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In an arithmetic progression, the sixth term is equal to 10.5; and the difference is 1.5. Find the first term and the sum of the
telo118 [61]

The first term will be 3 and the sum of the first 9 terms will be 81.

<h3>What is Arithmetic progression?</h3>

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Given,

Six terms as 10.5

So,

a₆ = 10.5

Common difference(d) = 1.5

The nth term of an AP is given by

a_{n} = a + (n-1)d

So,

a₆ = a + (6-1)d

10.5 = a + 5(1.5)

a = 3

Now,

The Sum of n terms is given by

S = n/2[2a + (n-1)d]

S = 9/2[6 + 8(1.5)]

S = 81

Hence the first term will be 3 and the sum of 9 terms will be 81.

For more about Arithmetic progression

brainly.com/question/20385181

#SPJ1

6 0
2 years ago
Pls help me look at the picture ​
Ilya [14]

Answer:

$28.98

Step-by-step explanation:

I did it myself hope it helps :>

7 0
3 years ago
A sphere is inscribed in a cube, and the cube has a surface area of 24 square meters. A second cube is then inscribed within the
snow_tiger [21]

Check the picture below, I'll be referring to the material in the picture.

we know the outer cube has a surface area of 24, we also know is a cube, so it has 6 equal sides which are squares each, let's say the side of one of those squares in the cube is say of length "s", so the area of one square will just be  s², and for 6 squares that'll be an area of 6s², that is the area of the outer cube, which we know is 24.

24=6s^2\implies \cfrac{24}{6}=s\implies 4=s^2\implies \sqrt{4}=s\implies 2=s

now, we know the sphere is inscribed in the outer cube, so it's touching its edges, like you see in the picture in blue, so if we get a cross-section of the whole lot, we'd get the picture to the right of blue cube in the picture, an outer cube with a side of 2, and therefore an sphere with a diameter of 2, and thus a radius of 1, as you can see in the red triangle.

Let's notice that the red triangle is a 45-45-90 triangle, and thus we can use the 45-45-90 rule to get its sides, as you can see in the picture on the far-right, which gives us half of one side of the inner cube to be 1/√2.

\stackrel{\textit{half a side}}{\cfrac{1}{\sqrt{2}}}\qquad \stackrel{\textit{a full side}}{\cfrac{1}{\sqrt{2}}+\cfrac{1}{\sqrt{2}}}\implies \cfrac{2}{\sqrt{2}}\implies \cfrac{2\sqrt{2}}{\sqrt{2}\sqrt{2}}\implies \cfrac{2\sqrt{2}}{2}\implies \sqrt{2}

now as you can see in the picture, the inner cube in orange, has 6 sides, each side is √2 long, so let's get the 6 squares area.

\stackrel{\textit{area of one square}}{\sqrt{2}\cdot \sqrt{2}\implies 2}\qquad \stackrel{\textit{area of all 6 sides of the inner cube}}{6\cdot 2\implies 12}

6 0
2 years ago
I need help with the first question please
earnstyle [38]

Answer:

that's 3 unit s so because it's 3.5 but round it up and u get 3

5 0
3 years ago
The function f(x)=125(0.9)x models the population of a species of fly in millions after x years.
SSSSS [86.1K]
A word to the wise:  It's  <span> f(x)=125(0.9)^x,   where ^ represents exponentiation.

In this case the ave. value over the interval [11, 15] is

 125(0.9)^15 - 125(0.9)^11
------------------------------------- = (125/4) [ 0.9^15 - 0.9^11)
               15 - 11                    =  (31.25) [ 0.2059 - 0.3138 ] = a negative result
                                              =  (31.25)(-0.1079) = -3.372  (av. r. of c.
                                                     over the interval [11,15] )

Do the same thing for the time interval [1,5].  Then compare the two rates of change.</span>
6 0
3 years ago
Read 2 more answers
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