3 years ago

Find the area of the shaded part of the figure

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Answer:

39.13 units²

Step-by-step explanation:

Height of the triangle:

10cos(30) = 5sqrt(3)

Radius = ⅓(5sqrt(3)) = 5sqrt(3)/3

Triangle - circle

[½(10)(10)sin60] - [(3.14)(5sqrt(3)/3)²]

43.30127019 - 4.166667

39.13460352 unitsw

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Given f(x)=x^2+5 and g(x)=2x^3-1 find (f/g)(-3)

AlekseyPX

For this case we have the following functions:

$f (x) = x ^ 2 + 5\\g (x) = 2x ^ 3-1$

By definition of composition of functions we have:

$(f / g) (x) = \frac {f (x)} {g (x)}$

Then substituting:

$f (-3) = (- 3) ^ 2 + 5 = 9 + 5 = 14\\g (-3) = 2 (-3) ^ 3-1 = 2 (-27) -1 = -54-1 = -55$

So:

$(f / g) (- 3) = \frac {14} {- 55} = - 0.25$

Answer:

$(f / g) (- 3) = \frac {14} {- 55} = - 0.25$

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Find a solution to the following system of equations. –5x + y = –5 –4x + 2y = 2

Arte-miy333 [17]

-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2

-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
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solution is (2,5)

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aivan3 [116]

Answer:

Thousandths place.

Step-by-step explanation:

The answer doesn't change that drastically

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