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Usimov [2.4K]
3 years ago
13

Leahs age is twice her cosins age. If they add thier ages together, they get 36. How old are leah and her cosin

Mathematics
1 answer:
Art [367]3 years ago
6 0
Leah is 24 and her cousin is 12. Since 24 is double of 12, thats your answer and it makes the most sense.
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2u-2u-4uequals 2u-2u+3+u+32
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3 years ago
1.) A 20° sector in a circle has an area of 21.5π yd².
a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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mrs_skeptik [129]

Answer:

1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394

Step-by-step explanation:

i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.

7 0
3 years ago
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals
BARSIC [14]

Answer:

(0.5,-4.5)

Step-by-step explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

(\frac{4+-3}{2},\frac{-2+-7}{2})

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or

(0.5,-4.5)

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4 years ago
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