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MaRussiya [10]
3 years ago
7

Macy is painting a design that contains two repeating patterns. One pattern repeats every 8 inches. The other repeats every 12 i

nches. The design is 19 feet long. Both patterns begin at the same place. Use the pattern pieces to create a sample of the design. Use the pattern pieces to determine the number of times the patterns begin at the same place._________
8-inch pattern:_________
12-inch pattern:_________
Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

8-inch pattern is fully printed 28 times.

12-inch pattern is fully printed 19 times.

Patterns start at the same place 9 times

Step-by-step explanation:

1. 19 feet is 228 inches.

2. 8-inch pattern is fully printed 28 times.

3. 12-inch pattern is fully printed 19 times.

4. 8-inch patterns starts at`0,8,16,24,32,40,48...

5. 12-inch pattern starts at 0,12,24,48...

6. As you see they start at the same place after 24 inches.

7. 228/24=9.5, => They start at the same place 9 times.

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Which one matches the picture description
mr_godi [17]

Answer:

356.82

Step-by-step explanation:

4 0
3 years ago
What is the approximate scale factor dilating from the red image to the blue image?Explain how you figured this out.
Lorico [155]

If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.

Explanation:

  • The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
  • To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = \frac{baselengthbeforescaling}{baselengthafterscaling} = \frac{2.5}{9} = 0.2777.
  • So the red image is dilated by a scale factor of 0.2777 to produce the blue image.

5 0
3 years ago
tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use
olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}

In this problem, r = 2/3. The division is:

12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}

Using the KFC rule:

\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

6 0
1 year ago
A quadrilateral that has two pairs of Parallel sides and all sides congruent is a:
sweet-ann [11.9K]

Step-by-step explanation:

(square)+(rhombus)..............

4 0
3 years ago
b) If parametric equations of a flow line are x = x(t), y = y(t), explain why these functions satisfy the differential equations
sineoko [7]

Answer:

The equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1.

Step-by-step explanation:

The pathline equation for a vector field is given by F(x,y) = xî - yj

The velocity vector field for the streamline of the flow is given by

V(x, y) = (dx/dt)î + (dy/dt)j

From the question, it is given that

(dx/dt) = x

(dy/dt) = -y

Hence, the velocity vector field for the streamline of the flow in question is

V(x, y) = xî - yj

which coincides with the pathline vector field of the flow.

The only time the pathline and streamline vector field coincide and have the same equation is when the flow is a steady state flow.

That is, the properties of the fluid flowing isn't changing with time!

Hence, this flow is a steady state flow!

We're told to solve the differential equation.

(dx/dt) = x

(dy/dt) = -y

but

(dy/dx) = (dy/dt) × (dt/dx)

(dy/dx) = -y/x

(dy/y) = -(dx/x)

∫(dy/y) = -∫ (dx/x)

In y = - In x + c

where c is the constant of integration

In y + In x = c

In (xy) = c

Inserting the values of (x, y) given in the question,

In (-1 × -1) = c

In 1 = c

0 = c

c = 0

In y + In x = 0

In (yx) = 0

xy = e⁰ = 1

xy = 1

So, the equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1

Hope this Helps!!!

4 0
3 years ago
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