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Ahat [919]
3 years ago
10

Find the area of the figure to the nearest tenth

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

A

Step-by-step explanation:

This is a sector of a circle measuring 140° and the circle has radius 9 inches.

We can use the formula for the area sector of a circle to figure this out.

Area of a Sector of a Circle = \frac{\theta}{360}*\pi r^2

Where

\theta is the intercepted angle (here it is 140), and

r is the radius (here it is 9)

<em>plugging into the formula, we get:</em>

<em>A=\frac{\theta}{360}*\pi r^2\\=\frac{140}{360}*\pi (9)^2\\=\frac{7}{18}*81\pi\\=98.96</em>

rounding to nearest tenth, it is 99.0 inches squared.

Option A is right.

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The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
A doughnut shop has a fixed cost of $124
vladimir1956 [14]

Answer:

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answer is 1050 doghnut

Step-by-step explanation:

5 0
3 years ago
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Anton [14]

Answer:

Step-by-step explanation:

7 0
2 years ago
I don’t get the kind of math that’s called averages
nignag [31]

Answer:

it's known as statistics

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Step-by-step explanation:

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3 years ago
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jolli1 [7]

Answer:

9.19 mi. is the distance between Bank and Grocery store.

Step-by-step explanation:

As we know in a given triangle with sides a, b, c which are the opposite sides of ∠A, ∠B, ∠C, follow the property

\frac{a}{sinA} = \frac{b}{sinB}=\frac{c}{sinC}

Now we apply this property in the given triangle.

Let the distance between Grocery store and Bank = x mi

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x=\frac{(sin54)(11)}{sin75}

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So the answer is 9.19 mi.

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3 years ago
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