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3 years ago

The diameter of the larger circle is 12.5 cm. The diameter of the smaller circle is 3.5 cm.

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

7 0

If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.

The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.

The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.

So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².

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Write an equation for the line of fit for this data in the form y=mx+b where x is latitude and y is temperature.

notka56 [123]

Answer:

$y = -x + 115$

Step-by-step explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

$(x_1,y_1) =(55,60)$

$(x_2,y_2) =(45,70)$

Calculate slope (m)

$m = \frac{y_2 -y_1}{x_2 - x_1}$

This gives:

$m = \frac{70 - 60}{45 - 55}$

$m = \frac{10}{-10}$

$m = -1$

The equation is the calculated using:

$y = m(x - x_1) + y_1$

This gives

$y = -1(x - 55) + 60$

Open bracket

$y = -x + 55 + 60$

$y = -x + 115$

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2 years ago

Solve the follow 3(2z-4)=60

ira [324]

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3 years ago

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vlabodo [156]

The answer would be 0.5

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3 years ago

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. A condo in Orange Beach, Alabama, listed for $1.4 million with 20% down and financing at 5% for 30 years. What is the monthly

vovikov84 [41]

Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
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3 years ago

Find the center of the circle that you can circumscribe about DABC.

Vlada [557]

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

A circle can be modelled after a expression of the form:

$A\cdot x + B\cdot y + C =-x^{2}-y^{2}$ (1)

We can determine all coefficients by knowing three <em>distinct</em> points on plane.

If we know that $(x_{1}, y_{1}) = (2, 8)$ , $(x_{2}, y_{2}) = (0, 8)$ and $(x_{3}, y_{3}) = (2, 2)$ , then the solution of the system of linear equations is:

$2\cdot A + 8\cdot B + C = -68$ (2)

$8\cdot B + C = -64$ (3)

$2\cdot A + 2\cdot B + C = -8$ (4)

$A = -2, B = -10, C = 16$

Now we proceed to <em>complete</em> squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

$x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0$

$(x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0$

$(x-1)^{2}+(y-5)^{2}= 10$

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983

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2 years ago