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laiz [17]
3 years ago
15

Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, h

e could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0
First time 23 words 
after week 26 words
after two weeks 29 words
so after 1 week Alfred is faster on 3 words
so after 4 weeks he could type 35 words per minute
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Question:
aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0
3 years ago
Roger could fit seven action figures on each shelf in his room. His room has two shelves. How many action figures total could hi
Leno4ka [110]

If 7 action figures are on each shelf

Then

in 2 shelves, there are

2x7 = 14 figures

Answer is

shelves hold 14 figures

8 0
1 year ago
a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?
Montano1993 [528]

Answer:

(-6,-4)

Step-by-step explanation:

The first endpoint of the line is (-6,8), we can call

x_1 = -6

and

y_1 = 8

Let the last endpoint have coordinates (x_2,y_2)

Also, the midpoint formula is:

(x_1+x_2)/2 , (y_1+y_2)/2

Now, plugging these values is the formula, we get:

(-6+x_2)/2 = -6

-6+x_2=-12

x_2=-12+6 = -6

x_2 = -6

Also

(8+y_2)/2=2

8+y_2=4

y_2=4-8=-4

y_2 = -4

The coordinates of the other endpoint is (-6,-4)

8 0
3 years ago
You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the
malfutka [58]

Answer:

Dependent Variable- l Independent Variable-b

Step-by-step explanation:

Dependent Variables are always Y and Independent Variables are always x.

In this case y=I and x=b. The amount of water your water bottle will hold will never change. But the amount of water you drink can change.

4 0
3 years ago
Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°
qwelly [4]

The double angle formula for the sine is

\sin(2x) = 2\sin(x)\cos(x)

The right hand side is exactly your expression, where x = 31^\circ

So, rewriting the expression from right to left, we have

2\sin(31^\circ)\cos(31^\circ) = \sin(2\cdot 31^\circ) = \sin(61^\circ)

6 0
3 years ago
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