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valentina_108 [34]
3 years ago
6

Rectangle A has a length of 12 and width of 8. Rectangle B has a length of 15 and a width of 10.

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k =  =  ← ratio of lengths

k =  =  ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k =  =  ← ratio of lengths

k =  =  ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k =  =  ← ratio of lengths

k =  ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C

Step-by-step explanation:

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The two-way table shows the estimated number of students who will enroll in three area high schools next year. a 5-column table
mr Goodwill [35]

Answer:

A. 0.2

Step-by-step explanation:

First make the table.

                                          <u>10-grade</u>  <u>11-grade</u>  <u>12-grade</u>  <u>Total</u>

<u>Woodson high school </u>    |     110     |     120    |      80     |   310   |

<u>Valley high school </u>          |     180    |     150    |     120     | 450   |

<u>Riverside high school </u>     |     160    |     140    |     200    | 500   |

<u>Total </u>                                 |     450   |     410    |     400    | 1260 |

Question: In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade?

First, find 12-grade and riverside high school number. 200. Take the total lined up with total number, which is 1260, and divide 200 divided by 1260.

200/1260=0.2

The answer is 0.2.

Hope this helps!

If not, I am sorry.

6 0
2 years ago
Please help! I will give out brainlist.
Ainat [17]

Answer:

Step-by-step explanation:

This is a Pythagorean Theorem Question

c^2 = a^2 + b^2

c= sqrt(5)

a = x

b = x            This is an isosceles right triangle. The vertical side and the horizontal side are equal.

x^2 + x^2  =  sqrt(5)^2

2x^2 = 5                           Divide both sides by 2

x^2 = 5/2                          Take the sqrt of both sides.

√x^2 = √5 / √2                Multiply right side by √2 on both top and bottom

x = √5*√2 / √2*√2

x = √10 /2

7 0
2 years ago
Consider this function. f(x)-3x+3. Which graph represents the inverse of function f?
Kamila [148]

9514 1404 393

Answer:

  graph Y

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = -3y +3

  x -3 = -3y . . . . . subtract 3; next, divide by -3

  y = -1/3x +1 . . . . . matches graph Y

_____

<em>Additional comment</em>

Writing the original equation in standard form can help you see its intercepts.

  3x +y = 3

  3x = 3   ⇒   x = 1 . . . . x-intercept (at y=0)

  y = 3   . . . . y-intercept (at x=0)

The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.

3 0
3 years ago
A function is defined by f(x) = 3x+ 1 What is f(10)?
swat32

Answer:

c) 31

Step-by-step explanation:

Given: f(x) = 3x + 1

We are being asked to find the function's value for x = 10.

Substitute 10 as the value of x in the function:

⇒ f(x) = 3x + 1

⇒ f(10) = 3(10) + 1

⇒ f(10) = 30 + 1

⇒ f(10) = 31

Therefore, the function's value at x = 10 is 31.

Learn more here:

brainly.com/question/27901762

brainly.com/question/20922457

3 0
2 years ago
Read 2 more answers
Im kind of confused on this practice problem
stich3 [128]

Answer:

v = 124 cm³

Step-by-step explanation:

The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,

v = a³

v = 4³

v = 64

Now, for the rectangular prism.

v = l · w · h

v = 10 · 3 · 2

v = 60

Now, for the total collective volume, simply add up the volumes of the independent shapes.

64 + 60 = 124 cm³

3 0
2 years ago
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