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Ilia_Sergeevich [38]
3 years ago
9

A craft project requires 5/6 yard of ribbon to make 4 refrigerator magnets. How many inches of ribbon are needed for each magnet

?
Mathematics
2 answers:
ira [324]3 years ago
8 0

Answer:

7.5 inches

Step-by-step explanation:

Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches

Sidana [21]3 years ago
3 0

Answer:

30 inches/4=7.5 inches

Step-by-step explanation:

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Point B has coordinates ​(​1,2​). The​ x-coordinate of point A is -8. The distance between point A and point B is 15 units. What
Xelga [282]

Answer:

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}} (1)

Where:

l_{AB} - Length of the line segment AB.

x_{A}, x_{B} - x-coordinates of points A and B.

y_{A}, y_{B} - y-coordinates of points A and B.

If we know that l_{AB} = 15, x_{A} = -8, x_{B} = 1 and y_{B} = 2, then the possible coordinates of point A is:

\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15

81 + (2-y_{A})^{2} = 225

(2-y_{A})^{2} = 144

2-y_{A} = \pm 12

There are two possible solutions:

1) 2-y_{A} = -12

y_{A} = 14

2) 2 - y_{A} = 12

y_{A} = -10

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

8 0
3 years ago
Jake drew an isosceles right triangle. What are the measures of the two acute angles? How do you know?
scoray [572]
SO you know that triangles add up to 180. A right angle equals 90 so 180-90=90. And an isosceles triangle means that 2 angles are congruent. SO 90/2 = 45. The measure of the 2 acute angles are 45
8 0
3 years ago
Find the product of 487.9573 and 1,000.
maria [59]
487.9573 * 1000 = 487947.30

As you can see, the first number has a decimal point, and the second number is 1000. You can drop the 0s in the 1000 leaving 1 to multiply with the first number. Simply move the decimal point to the right based on the number of 0s there are on the second number.

Since, 1000 has three 0s. Move the decimal point 3 times to the right of the number. So, from 487.9573 to 487957.3

If the function is division but the numbers are the same, you must move the decimal point to the left. 
 

6 0
3 years ago
Drag a statement or reason to each box to complete this proof.
yanalaym [24]

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

5 0
2 years ago
What is the value of x in the equation below? 4(x + 3) = 9x + 16 + 3x
creativ13 [48]

Answer:

x = -1/2

Step-by-step explanation:

4(x + 3) = 9x + 16 + 3x

Distribute the 4

4x +12 = 9x+16+3x

Combine like terms

4x+12 = 12x+16

Subtract 4x

4x-4x+12 = 12x-4x+16

12 = 8x+16

Subtract 16

12-16 = 8x+16-16

-4 =8x

Divide by 8

-4/8 =8x/8

-1/2 =x

3 0
3 years ago
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