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Fittoniya [83]
4 years ago
14

Jada is making circular birthday invitations for her friends the diameter of he circle is 12 cm she bought 180 cm of ribbon to g

lue around the edges of the invitation how many did she make
Mathematics
1 answer:
Natalija [7]4 years ago
3 0

Answer:she can make approximately 5 invitation cards

Step-by-step explanation:

Jada is making circular birthday invitations for her friends the diameter of he circle is 12 cm

Diameter of circle,D = 12

Circumference of the circle being made which means the distance round the circle =πD= 3.142×12=37.704 cm

she bought 180 cm of ribbon to glue around the edges of the invitation.

The number of circular birthday invitation that can made is 180/37.704

= 4.77. It cannot be a fraction because the card is a whole card

This is approximately 5 invitation cards

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What is the equation in standard form of a parabola that models the values in the table
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Answer:

Y=4x^2-3x+5

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

<u>Y=-4x^2+3x+5 for (-1,12)</u>

Y=-4(-1)^2+3(-1)+5=-4(1)+-3+5=-4+-3+5=-2\\

This does not give 12 as the answer and is not a solution.

<u>Y=-4x^2-3x+5 for (-1,12)</u>

Y=-4(-1)^2-3(-1)+5=-4(1)+3+5=-4+3+5=4\\

This does not give 12 as the answer and is not a solution.

<u>Y=3x^2-4x+5 for (-1,12)</u>

Y=3(-1)^2-4(-1)+5=3(1)+4+5=3+4+5=12\\

This does give 12 as the answer and is a possible solution.

We now try (2,15).

Y=3(2)^2-4(2)+5=3(4)-8+5=12-8+5=9\\

This does not give 15 as the answer and is not a possible solution.

<u>Y=4x^2-3x+5 for (-1,12)</u>

Y=4(-1)^2-3(-1)+5=4(1)+3+5=4+3+5=12\\

This does not give 12 as the answer and is not a solution.

We now try (2,15).

Y=4(2)^2-3(2)+5=4(4)-6+5=16-6+5=15\\

This does give 15 as the answer and is a solution.

This is the standard form of the equation.

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Answer:

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<span>2 + 9/4

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I hope my answer has come to your help. God bless and have a nice day ahead!
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