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Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.  

(b) Determine the scale factor from the first map to the second map.

(c)  A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?  

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

[tex]Length =4cm[/tex] --- This is solely up to you (you can make use of any length between 5 cm and 15 cm)

(b) The scale factor

The scale factor (k) is calculated as:

[tex]k = \frac{New\ Length}{Old\ Length}[/tex]

[tex]k = \frac{4cm}{8cm}\\[/tex]

[tex]k = 0.5[/tex]

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

Using:

[tex]k = \frac{New\ Length}{Old\ Length}[/tex]

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

[tex]New\ Length = k * Old\ Length[/tex]

When [tex]Length = 3cm[/tex]

[tex]New\ Length = 0.5 * 3cm = 1.5cm[/tex]

When [tex]Length = 4cm[/tex]

[tex]New\ Length = 0.5 * 4cm = 2cm[/tex]

When [tex]Length = 5cm[/tex]

[tex]New\ Length = 0.5 * 5cm = 2.5cm[/tex]

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Answer:

b

Step-by-step explanation:

Answer:

B thank you for doing that hard work

putting all that info in

Step-by-step explanation:

Answer:

It would seem it's an isosceles triangle.

Step-by-step explanation:

An isosceles triangle has 2 equal sides (legs). It can have 3 equal sides, but that's not so in this case. I'd appreciate if someone could correct me if I'm wrong. :)

Answer:

Falls to the left and rises to the right

Step-by-step explanation:

because

degree =5

leading coefficient =4 and positive it will rise to the right

those are tips to use to determine it :

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

Answer:

6

10

10

Step-by-step explanation:

3/5 x 10 = 30/5 = 6

5/6 x 12 = 60/6 = 10

5/8 x 16 = 80/8 = 10

Answer:460

Step-by-step explanation:on delta math

The total number of action figures in Genesis's collection will be 460.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.

The obtained expression for the given condition,

=253 / (1-0.45)

=253/0.55

=25300/55

=460

Thus, the total number of action figures in Genesis's collection will be 460.

Learn more about the arithmetic operation here:

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Answer:

The pooled estimate of the common variance is approximately 639.59

Step-by-step explanation:

The given parameters are;

The number of shops Emily visited, n₁ = 12 shops

The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85

The standard deviation of the estimate Emily was given, s₁ = $28

The number of shops John visited, n₂ = 9 shops

The average repair estimate John was given, [tex]\overline x_2[/tex] = $65

The standard deviation of the estimate John was given, s₂ = $21

The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;

[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]

[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]

∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59

Answer:

6 hour and 110 Min

Step-by-step explanation:

Answer:

7 hours and 59 minutes

Step-by-step explanation:

1 hour 52 minutes = 60 + 52 = 112 minutes

2 hours 6 minutes= 120+6 =126 minutes

2 hours 3 minutes = 120 +3= 123 minutes

1 hour 58 minutes = 60 + 58 = 118 minutes

Total number of minutes / 60 minutes= # hours + minutes

479/60= Approximately 8 hours. It is 7 hours and 59 minutes to be exact.

-2(5x-8)

-10x+16

So A.

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hope it helps

Answer:

C. progressive taxation

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.

Answer:

= 7 - 5n

Step-by-step explanation:

Product of 5 and n

= 5 × n

= 5n

Subtracted from 7

= 7 - 5n which is the answer.

I really do not know because it does not make sense

Answer:

648

Step-by-step explanation:

It will round down (since 4 and down round down) to 600. Therefore, the answer is 648.

Hope that helps!

-Sabrina

Answer:

648

Step-by-step explanation:

Answer:

The straight-line distance between the points is approximately 8.6.

Step-by-step explanation:

The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:

[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)

Where:

[tex]x[/tex] - Horizontal distance between the points.

[tex]y[/tex] - Vertical distance between the points.

Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:

[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]

[tex]d \approx 8.6[/tex]

The straight-line distance between the points is approximately 8.6.

Answer:

The answer should be $7,087.50

Step-by-step explanation:

4.50 x 50 = 225

225 x 1.05 = 236.25

236.25 x 30 = 7087.50

Compound interest is the interest we earned from the principal together with the interest.

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

P = $1125

R = 5% compounded annually

Time = 30 years.

The amount saved for retirement is $4861.13.

It is the interest we earned from the principal together with the interest.

The formula for the amount earned with compound interest after n years is given as:

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

We have,

Principal:

There are 5 weekdays in a week.

50 weeks = 50 x 5 weekdays = 250 weekdays.

One weekday = $4.50

250 weekdays = 250 x 4.50 = $1125

Now,

P = $1125

Rate = R = 5%

Time = T = 30 years

n = 1

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

A = 1125 [tex](1 + \frac{5}{100}) ^{30}[/tex]

A = 1125 x 4.321

A = 4861.125

A = $4861.13

Thus,

The amount saved for retirement is $4861.13.

Learn more about compound interest here:

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Answer:

C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 100[/tex]

Because of the claim of the farmer.

The alternate hypothesis is:

[tex]H_{1} \neq 100[/tex]

The alternate hypothesis tests the farmer's claim at a significance level.

The results are calculated to be statistically significant at the 0.01 level.

This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.

Answer:

The answer will be True

Step-by-step explanation:

Because I said so

Step-by-step explanation:

The formula is given by :

[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]

We have,

m = 19° and d = 9 cm

So,

[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]

Hence, this is the required soltion.

Answer:

Side length:11

Area: 121

Step-by-step explanation:

if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121

I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?

Answer:

40%

Step-by-step explanation:

40%

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hope it helps

I don't really know how to explain sorry

Answer:

B. No , b/c the sides are not congruent

Step-by-step explanation:

A square is a four-sided figure whose sides are all the same length and whose angles are all right angles measuring 90 degrees. To be a square, a shape must be all these things:

A plane figure

A closed shape

A regular polygon

A quadrilateral

Answer:

The first one

Step-by-step explanation:

Answer:

Its the first one.

Step-by-step explanation:

Answer:

Hi and have a great day!

Step-by-step explanation:

The solution for y in the equation 48/y = 12 is y = 4 .

To solve for y in the equation 48/y = 12, we can multiply both sides of the equation by y to eliminate the denominator:

48/y * y = 12 * y

On the left side, the y in the denominator cancels out:

48 = 12 * y

Next, divide both sides of the equation by 12 to isolate y :

48/12 = y

Simplifying, we get:

4 = y

Therefore, the solution for y in the equation 48/y = 12 is y = 4 .

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As it is a parallelogram opposite sides are same

[tex]\\ \sf\longmapsto <B=<D[/tex]

[tex]\\ \sf\longmapsto <A=<C[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

Answer:

a=3; (3,5) and (4,0) for the graph  

Step-by-step explanation:

ax-y=4

x=3, y=5 so...

a(3)-5=4

3a-5=4

+5 +5

3a=9

/3 .  /3

a=3

For the graph, use (3,5) and substitute x and y for anything:

ax-y=4

if x=0...

a(0)-y=4

-y=4

y=4

a=3; (3,5) and (4,0) for the graph!