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Basile [38]
3 years ago
12

Can I get help with this problem?

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0

Answer:

area of sector:

\frac{theta}{360}  \times \pi \:  {r}^{2}

\frac{165}{360}  \times  \frac{22}{7} ( {8}^{2} )

\frac{11}{24}  \times  \frac{1408}{7}

\frac{1936}{21}

92.19 \:  {in}^{2}

Mamont248 [21]3 years ago
7 0

Answer:

the area of the sector can be rounded to 92.2\,\,in^2

Step-by-step explanation:

Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle (360^o) corresponds to the area:

Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2

then the proportion goes like:

\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2

Therefore, the area of the sector can be rounded to 92.2\,\,in^2

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Write a rational function with the given characteristics.
Maurinko [17]

According to the question, to express the rational function for the vertical asymptote whose equation is x=8 and horizontal asymptote whose equation is at y=0.

As per the question, the function 'f(x)' is vertical at x=8. Therefore, the denominator be (x-8)

f(x)=\frac{g(x)}{(x-8)}

The function 'g(x)' should have same degree as the denominator function has and it is defined asy=0

The rational function can be written as:

Rational function = \frac{y}{(X-8)}

What is rational function?

Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.

To learn more about rational function from the given link:

<u>brainly.com/question/19044037</u>

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6 0
1 year ago
Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make a salad for 18 people. If each person got the same amo
Nuetrik [128]
2.52 pounds + 1.26 pounds = 3.78 pounds of salad ÷ 18 people = .21 pounds of salad per person

you add the pounds because that is everything she used to make the salad. then you divide by 18 because there are 18 people eating the salad and everyone gets exactly the same amount. Hope this helps :) this should help if you have more questions like this :)
(x pounds + y pounds = total pounds, total pounds ÷ # of people = pounds per person)
6 0
3 years ago
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Need to write steps and solve <br> thanks
nalin [4]

<u>Answer:</u>

The coordinates of endpoint V is (7,-27)

<u>Solution:</u>

Given that the midpoint of line segment UV is (5,-11) And U is (3,5).

To find the coordinates of V.

The formula for mid-point of a line segment is as follows,

Midpoint of UV is \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}

As per the formula,  \frac{x_{1}+x_{2}}{2}=5, \frac{y_{1}+y_{2}}{2}=-11

Here x_{1}=3; y_{1}=5

Substituting the value of x_{1} we get,

\frac{3+x_{2}}{2}=5

3+x_{2}=5\times2

x_{2}=10-3

x_{2}=7

Substituting the value of x_{2} we get,

\frac{5+y_{2}}{2}=-11

5+y_{2}=-11\times2

y_{2}=-22-5

y_{2}=-27

So, the coordinates of V is (7,-27)

7 0
3 years ago
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gavmur [86]

Answer:

<em>90 degree</em>

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

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=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

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Step-by-step explanation:

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