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3 years ago

Find the area of the shape.

Mathematics

1 answer:

mars1129 [50]3 years ago

8 0

Answer:

27π units²

Step-by-step explanation:

The rest of the question is the attached figure.

This shape represents (3/4) of a full circle.

So, find the area of a full circle with radius 6 units, then multiply the result by 3/4 to obtain the area of the given shape.

Area of full circle = π r²

So, Area of full circle = π(6)² = 36π units²

Then the area of the given shape is = (3/4)(36π) = 27π units²

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Is there enough information to prove that the triangles are congruent?

olasank [31]

Answer:

Yes, there is enough information to prove that the triangles are congruent.

SAS POSTULATE

Step-by-step explanation:

$In\:\triangle ABC \: and \triangle XYZ\\$

$AB\cong XY..... (given) \\$

$\angle ABC \cong\angle XYZ\\(each \: 90\degree) \\$

$BC\cong YZ..... (given) \\$

$\therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate)$

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3 years ago

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Please help with this Math Question...

Nataly [62]

Answer: A

Step-by-step explanation:

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 | 1 4 7 6

| ↓ -2 -4 -6

1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}$

$x=\dfrac{-2\pm\sqrt{4-12} }{2}$

$x=\dfrac{-2\pm\sqrt{-8} }{2}$

$x=\dfrac{-2\pm2i\sqrt{2}}{2}$

$x = -1 \pm i\sqrt{2}$

$x = -1 + i\sqrt{2}$ $x = -1 - i\sqrt{2}$

$x - (-1 + i\sqrt{2})=0$ $x - (-1 - i\sqrt{2})=0$

The factors are:

$(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]$

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3 years ago

The angle of elevation from L to K measures 39°. If KL = 12, find JL. Round your answer to the nearest tenth.

WITCHER [35]

Answer is C=9.3

Pls find attached file

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3 years ago

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Half of your baseball card collection got wet and was ruined. You bought 18 cards to replace some that were lost. How many did y

postnew [5]

1. Let x be the original amount of baseball cards,
2. half of x was lost so x divided by 2.
3. you buy 18 cards to replace some that were lost
4. You can find the awnser by subtracting 18 from 30, which is 12.
5. Now lets remember that half of your cards were lost. meaning that 12 is only half of what you started with.
6. 12 times 2 would be 24.
7. The Awnser is 24
8. To check your work, you can say x=24, 24 divided by 2 is 12, and 12 plus 18 is 30.

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3 years ago

Uscles Gym has a membership fee of $40 every 3 months. Energy Gym has a membership fee of $93 every 6 months.

snow_lady [41]

Answer:

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Step-by-step explanation:

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You then add the zero to show the proper number of cents after the decimal point.

I hope this helps!

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3 years ago