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Sauron [17]
3 years ago
5

What is the scale factor for pre-image IJKH to image MNOL?

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Step-by-step explanation:

Given are two rectangles MNOL and IJKH

MNOL is the image and IJKH is the preimage.

OBviously similarity is preserved between these.

Hence sides will be proportional

i.e. l1/l2 = w1/w2 = Scale factor k

This can also be written as

Scale factor square = k^2=\sqrt{ \frac{areaI}{area2} }

Scale factor = square root of ratio of rectangle areas

Find ratio as

\frac{375}{135} =\frac{25}{9}

k = Scale factor = square root of the above fraction

=\frac{5}{3}

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Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 10 feet. Explain or show
Zina [86]

Answer:

224 im pretty sure

Step-by-step explanation:

area of a triangle= base x height / 2

if we plug the values from the problem into the equation, we get 8 x 10 / 2 which simplifies into 80 / 2, which is 40. because this is a square pyramid, we know it has 4 triangles, so we multiply 40 by 4, which is 160. now, we find the area of the square, which can be found with the equation length x width. since all sides of square are equal, the equation becomes 8 x 8, which is 64. finally, we add the area of the triangles to that of the square, and we get 224. hope this helps!

6 0
3 years ago
Each music class sings 8 songs a week.How many does each class sing in 5 weeks? 6 weeks? 7 weeks?
Scilla [17]

In 5 weeks they sing 280, in 7 weeks they sing 392, and in 6 weeks they sing 336. For this problem you have to figure out how days are in a week n multiply that by the number of songs they give you n then you have to multiply that by how many weeks they give you n then u keep repeating these steps until you ate done with all of your problems n you get your answer

7 0
3 years ago
What is the volume of the sphere?
Ilia_Sergeevich [38]

Answer:

V = 4/3 pi or approximately 4.187 ft^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The radius is 1 ft

V = 4/3 pi (1)^3

V = 4/3 pi

We can approximate pi by 3.14

V = 4/3 (3.14)

V = 4.186666666 ft^3

7 0
3 years ago
Read 2 more answers
Solve for the indicated variable. Include all of your work in your answer. Submit your solution. P = 3r + 2s; for s.
madam [21]
<h3>Given</h3>

P = 3r + 2s

<h3>Find</h3>

the corresponding equation for s

<h3>Solution</h3>

First of all, look at how this is evaluated in terms of what happens to a value for s.

  1. s is multiplied by 2
  2. 3r is added to that product

To solve for s, you undo these operations in reverse order. The "undo" for addition is adding the opposite. The "undo" for multiplication is division (or multiplication by the reciprocal).

... P = 3r + 2s . . . . . . starting equation

... P - 3r = 2s . . . . . . -3r is added to both sides to undo addition of 3r

... (P -3r)/2 = s . . . . . both sides are divided by 2 to undo the multiplication

Note that the division is of everything on both sides of the equation. That is why we need to add parentheses around the expression that was on the left—so the whole thing gets divided by 2.

Your solution is ...

... s = (P - 3r)/2

3 0
3 years ago
When finding the area of a quadrilateral, what operation would I use and why?
lilavasa [31]

Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.

3 0
2 years ago
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