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RSB [31]
3 years ago
7

A rectangular image of length 3 cm and width 4 cm is magnified in a studio. On magnification, 1 cm of the image represents 17 cm

. Find the perimeter of the rectangle in the magnified image.
Please help!
Answers:
576 cm
204 cm
408 cm
238 cm
Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer:

238 cm

Step-by-step explanation:

so we have a scale factor   of  17: 1

originally we had the dimensions:   3cm by 4m

now we have    3*17  by 4*17  = 51 cm by 68 cm

Perimeter = 2*51 + 2*68 = 238 cm

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Identifying Rigid Transformations
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Answer:

Rotation and Translation

Step-by-step explanation:

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3 years ago
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The ratio of girls to boys in the 6th grade is to 6to7 how many girls are there if there are 364total students
Rina8888 [55]

Answer:

168 girls.

Step-by-step explanation:

There are a total of 6 + 7 = 13 'parts'.

So one part = 364 / 13 = 28.

So the number of girls = 6 * 28

= 168.

4 0
3 years ago
The first three steps of completing the square to solve the quadratic equation x² + 4x - 6 = 0, are
slavikrds [6]

Answer:

The next 3 steps are

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

To Find:

x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

8 0
3 years ago
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

===========================================================

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
William and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace fo
mojhsa [17]

Answer:

12 miles

Step-by-step explanation:

60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12

8 0
3 years ago
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