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3 years ago

7

Michael leaves 12 pages of a book in 18 minutes eight pages in 12 minutes and 20 pages in 30 minutes is this a proportional rela

tionship if so what is the constant of personality what does it represent write an equation to represent the situation

1 answer:

gtnhenbr [62]3 years ago

6 0

Dying. CbzfhRy tFykh n jljlxob kyviuh

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I need to find the surface area. it's a cut sphere with a diameter of 14.

alex41 [277]

Given data:

The diameter of the cut sphere, D=14 in.

The radius of the cut sphere is,

$\begin{gathered} r=\frac{D}{2} \\ r=\frac{14}{2} \\ r=7\text{ in} \end{gathered}$

The cut sphere is called a hemisphere.

The surface area of a sphere is

$A_1=4\pi r^2$

So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,

$\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}$

The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,

$A_3=\pi r^2$

Therefore, the total area of the hemisphere is,

$\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}$

The total surface area of a hemisphere is,

$\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}$

Therefore, the total surface area of the cut sphere is 461.8 square inches.

6 0

10 months ago

A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine th

Tatiana [17]

Answer:

50+15=65

Step-by-step explanation:

I know because it says total

5 0

2 years ago

Xby the power of 5 times y to the power of 6 over 2 by the power of -2 times xby the power of 0times x by the power of 9

mars1129 [50]

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"... 2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

$\frac{x^5*y^6}{2^{-2}*x^0*x^9}$

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

$\frac{x^5*y^6}{2^{-2}*x^9}$

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

$\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4$

And we also know that:

a^n/a^m = a^(n - m)

Then:

$\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}$

And we can't simplify this anymore.

8 0

2 years ago

If the measure of angle 5 is 57 degrees, what is the measure of angle 2?

GrogVix [38]

Answer:

3

Step-by-step explanation:

Angle 1 is a supplement of angle 2, and m angle 1 is 123 degrees. Angle 2 is a complement of angle 3. Find m angle 3.

5 0

2 years ago

What is the next term in the sequence below? -324,108,-36,12,...

liq [111]

This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4

5 0

3 years ago

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