Help me out please !!!!

Step-by-step explanation:

a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.

the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.

that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.

so, yes, therefore the area grows or shrinks with the square of the scale factor.

FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.

1. k=2

new area = k² × old area = 4 × 12 = 48 square units.

2. k=5

new area = k² × old area = 25 × 12 = 300 square units.

3. k=1

new area = k² × old area = 1 × 12 = 12 square units.

4. k=1/4

new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.

5. k=1.2

new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.

Answer:

Step-by-step explanation:

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

Answer:

Line 2

Step-by-step explanation:

line one's slope is one and line 2 is 3

Answer:

Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.

Step-by-step explanation:

Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

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

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]

Answer:

[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]

Answer: 12

Step-by-step explanation:

Answer:

the height = 5cm

the base = 2cm  

Step-by-step explanation:

Answer:

None of those answers are right. It should be

[tex] - \frac{23}{24} [/tex]

Step-by-step explanation:

You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.

[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]

Subtract 3/24 from both sides since it is being added.

[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]

Since there are two negatives on the left, add the fractions together and keep the negative sign.

[tex] - \frac{23}{24} = z[/tex]

You cannot reduce this fraction.

Answer:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Step-by-step explanation:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Done

The vertex of the parabola is (−5, −13).

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

−

1

/15

,

−

121

/15

)

Find the vertex form.

y

=

15

(

x

+

1

/15

)

2

−

121

/15

Answer:

The point-slope form is  

y

+

6

=

1

5

(

x

−

4

)

or  

y

+

5

=

1

5

(

x

−

9

)

, depending on which point you use. If you solve for  

y

to get the slope-intercept form, both equations will convert to  

y

=

1

5

x

−

34

5

Step-by-step explanation:

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

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Answer: $26.16

Step-by-step explanation:

23.15 / 5 = 4.63

4.63 x 6 = $26.16

Answer:

Step-by-step explanation:

Use ratios and solve:

Answer:

2nd option is correct

.........................

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

In this experiment design, the missing element is the control group.

In most experiments, the researcher will need to have a control group and an experimental group.

The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.

This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.

The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.

Learn more in: https://brainly.com/question/17475243

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Answer:

1 inch = 2 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to given:

Divide both by 4 to get the scale of drawing:

0 and 2

Step-by-step explanation:

If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.

Answer:

You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.

If you wanted to know if and where the RHS crosses the x axis, the points are the solution to

[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]

If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

Answer:

ⅠⅠⅩ

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.

Answer:

8(x+3) is the answer

Step-by-step explanation:

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The product of 6 and the sum of a number and 3 is 60.

Let the number be 'x'. Then the equation is written as,

6(x + 3) = 60

Simplify the equation, then the value of the variable 'x' will be calculated as,

6(x + 3) = 60

x + 3 = 60 / 6

x + 3 = 10

x = 10 - 3

x = 3

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

More about the Algebra link is given below.

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Answer:80

Step-by-step explanation: