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allochka39001 [22]
3 years ago
11

Find the area of the figure to the nearest tenth

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
That's a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi)  square inches.

That's the whole circle.  How much of the whole circle is in the picture ?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = <u>74.22 square inches</u> (rounded)
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Increase £248 by 30%
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p\%=\frac{p}{100}\\\\30\%=\frac{30}{100}=\frac{3}{10}=0.3\\\\30\%\ of\ \£248=0.3\cdot\£248=\£74.40\\\\increase\to\£248+\£74.40=\boxed{\£322.40}\leftarrow answer
5 0
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Read 2 more answers
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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How is the number 5 divisible into 1,620
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-Notice that dividing our numbers leaves no remainder:

1,620 ÷ 5 = 324 + 0

-1,620 has all the factors of the number 5

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The Correct answer is 2
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