Choose the equation below that matches the word sentence: "3 increased

Joel is making a scarf. The diagram shows the ratio of knit stitches and purl stitches of Joel's scarf. A tape diagram showing 2

r-ruslan [8.4K]

Answer:

28 Purls

Step-by-step explanation:

3 0

4 years ago

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Which property is illustrated? x+y=x+y

Sholpan [36]

Answer:

commutative property of addition

Step-by-step explanation:

commutative property of addition "a + b = b + a"

7 0

3 years ago

Find the greatest common factor of 8 and 24.

oksano4ka [1.4K]

Answer:

8

Step-by-step explanation:

Factors of 8: 1, 2, 4, 8

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

They do share a few factors but the greatest one shared between the two is 8

6 0

3 years ago

to find the perimeter of the rectangle you can see the formula P=21+2W. find the perimeter P of a rectangle whose length L is 10

Olin [163]

Answer:

rectangle, the distance around the outside of the rectangle is known as perimeter. A rectangle is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units such as feet or meter etc.

The perimeter of a rectangle is the total length of all the four sides.

Perimeter of rectangle = 2L + 2W.

Example 1: Rectangle has the length 13 cm and width 8 cm. solve for perimeter of rectangle.

Solution:

Given that:

Length (l) = 13 cm

Width (w) = 8 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 5 cm

w = 3 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

Example 3: Find the area and the perimeter of a rectangle whose length is 24 m and width is 12m?

Solution:

Given that:

length = L = 24m

width = W = 12m

Area of a rectangle:

A = L × W

A = 24 × 12

A = 188 m2

Perimeter of a rectangle:

P = 2L + 2W

P = 2(24) + 2(12)

P = 48 + 24

P = 72 m

Example 4: Find the area and perimeter of a rectangle whose breadth is 4 cm and the height 3 cm.

Solution:

Area = b×h = 4×3 = 12 cm2.

Perimeter = 2(b) + 2(h) = 2(4) + 2(3) = 8 + 6 = 14.

Example 5: Calculate the perimeter of the rectangle whose length is 18cm and breadth 7cm

Solution:

Given that:

L = 18 cm

B = 7 cm

Perimeter of rectangle = 2(length + breadth)

P = 2 (L + B)

P = 2 (18 + 7)

P = 50 cm

Example 6: Find the perimeter of rectangle whose length is 6 inches and width is 4 inches.

Solution:

P = 2(L + B)

P = 2(6 + 4)

P = 20 in

Example 7: A boy walks 5 times around a park. If the size of the park is 100m by 50m, find the distance the boy has walked. If he walks 100m in 5 minutes, how long will it take for him in total?

Solution:

Given that:

Length = L = 100m

Width = W = 50m

Rounds = 5

Time per 100m = 5minutes.

Perimeter of the park:

P = 2 L + 2 W.

P = 2 × 100 + 2 × 50

P = 200 + 100

P = 300 m

Total distance walked = 5 × Perimeter of the park.

= 5 × 300

= 1500 meters

Total time taken = Total distance walked × time taken to walk 1m.

= 1500 × 5/100

= 75minutes or 1hr 15minutes

6 0

3 years ago

Which transformation(s) could map one triangle to the other? reflection translation reflection and translation rotation and tran

denis-greek [22]

The correct option D.

Rotation and translation transformation(s) could map one triangle to the other.

<h3>Briefing:</h3>

Triangle A is mapped to triangle B by reflecting it across the x-axis and rotating it 90 degrees counterclockwise with respect to the origin. Triangle A to triangle B will be mapped using the following set of transformations, which also highlights how similar the two figures are.

<h3>What is a geometric transformation in GIS?</h3>

When registering a digital map, satellite image, or air photo onto a projected coordinate system, geometric transformation is the process of applying a set of control points and transformation equations. Map-to-map transformation and image-to-map transformation are examples of geometric transformation in geographic information systems (GIS).

<h3>What are the three types of geometric transformation?</h3>

Mathematically speaking, a transformation is a mapping from a preimage of a shape or function to an image of the same shape or function. Translation, rotation, and reflection are the three main categories of transformations.

To know more about geometric transformation visit:

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I understand that the question you are looking for is:

Which transformation(s) could map one triangle to the

other?

O reflection

O translation

O reflection and translation

O rotation and translation

5 0

2 years ago

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