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tatiyna
3 years ago
14

Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordi

nate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the <u>origin</u>.

Part B: The coordinate. Part B the coordinates of the origin are <u>(0,0)</u>.

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Jenny is making tie-dyed shirts for her class with her school colors,blue and yellow.she used a total of 8 ounces of fabric pain
Elodia [21]

<em><u>Question:</u></em>

Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow.  She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the  amount of yellow paint.  Make a diagram to show the ratio of blue paint to yellow paint

<em><u>Answer:</u></em>

The ratio of blue paint to yellow paint is 3 : 1

<em><u>Solution:</u></em>

Let  "x" be the amount of blue paint in ounces

Let "y" be  the amount of yellow paint in ounces

<em><u>She used a total of 8 ounces of fabric paint</u></em>

Therefore,

x + y = 8 -------- eqn 1

<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>

Amount of blue paint = 3 times the amount of yellow paint

x = 3y ------- eqn 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

<em><u>Substitute y = 2 in eqn 2</u></em>

x = 3(2)

x = 6

Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

<em><u>Find the ratio </u></em>

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

\frac{x}{y} = \frac{6}{2} = \frac{3}{1}

Which means, of every 4 parts of paint, three parts are blue and one part is yellow

The diagram is attached below

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3 years ago
Halp! Attachment below!
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3 years ago
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Irina-Kira [14]
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3 years ago
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

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finlep [7]

Answer:

34.75x

Step-by-step explanation:

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