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Naddika [18.5K]
3 years ago
8

Ms. Sheppard cuts 1/2 of a piece of construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet o

f paper does she used to make flower?
Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

1/12

Step-by-step explanation:

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo
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Answer:

h = 12

x = 9

y= 16

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

A = \frac{1}{2} * 15 * 20

i.e\ height = 20

A = \frac{1}{2} * 300

A = 150

Let the base of the triangle be 25.

So, the area is:

A = \frac{1}{2}  * 25 * h

i.e\ height = h

A = \frac{1}{2}  * 25h

Substitute A = 150

\frac{1}{2}*25h = 150

Solve for h

h = \frac{150 *2}{25}

h = 6 *2

h = 12

Considering the smallest triangle

Hypotenuse = 15

So:

15^2 = h^2 + x^2

15^2 = 12^2 + x^2

This gives:

15^2 - 12^2 = x^2

81 = x^2

Take square roots

9 =x

x = 9

Solving for y

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y= 25 - x

y= 25 - 9

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7 0
2 years ago
4x + 1 over 3 y2
vampirchik [111]

Answer:

1/3 =0.33

Step-by-step explanation:

<em>ju</em><em>st</em><em> </em><em>subst</em><em>itute</em><em> </em><em>the</em><em> </em><em>va</em><em>lues</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>and </em><em>y</em><em> </em><em>int</em><em>o</em><em> </em><em>th</em><em>e</em><em> </em><em>exp</em><em>ression</em><em> </em><em>to</em><em> </em><em>get</em>

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<em>=</em><em>9</em><em>/</em><em>2</em><em>7</em>

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3 years ago
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iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

d=\sqrt{h^2+k^2}

Distance of P from ( -3, 4 ) :

d=\sqrt{(h+3)^2+(k-4)^2}

Now , these distance are equal :

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Solving above equation , we get :

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a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator
goldfiish [28.3K]

Answer:

$76.51

Step-by-step explanation:

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The price after 7% sales tax has been added in is

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Answer:

5

Step-by-step explanation: 3x5=15

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