A company that manufactures toy trains is making a new box car. To fit on the track, the smallest dimensions of the toy box car must be 2 inches. What should the length and the height of the toy if the company wants the toy box car to be geometrically similar to an actual box car with the dimensions shown?

PLEASE HELP!!!

Answer:

BC or n=72

Step-by-step explanation:

ABC≈DEF

[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]

[tex]\frac{54}{9} =\frac{n}{12}[/tex]

[tex]9n=54*12[/tex]

[tex]9n=648[/tex]  (then divide both sides by 9.)

[tex]n=72[/tex]

to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(

hope this helps

Answer:

18.85

Step-by-step explanation:

The area of a circle is A= pi × r² (r being the radius)

The radius is half the diamter so the radius would be 6

Plug 6 into the equation for the radius

A = pi × 6²

A = pi ×36

A= 18.85

Answer:

idk

Step-by-step explanation:

So the right answer is 7.

Look at the attached picture

Hope it will help you..

good luck on your assignment

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

Answer:  2.3

Step-by-step explanation:

9.2 is divided  by 4 is 2.3 so the last quarter is 2.3

Answer:

m-mn

Step-by-step explanation:

Answer:

m-mn

Step-by-step explanation:

The product would be multiplacation.

m*n=mn

And you are subtracting that from m.

So, the answer would be m-mn.

Hope this helped.

Answer:

A.8X-8

Step-by-step explanation:

because you cannot subtract a variable from a non variable hope this helps

Answer

8 * -8

Step-by-step explanation:

Hope this helps have a wonderful day

Answer:

4 1/2

Step-by-step explanation:

Answer:

We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.

Step-by-step explanation:

We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.

A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.

Let [tex]\mu[/tex] = mean number of movies watched by college students last month.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies      {means that college students watch higher or equal movies a month than high school students}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies     {means that college students watch fewer movies a month than high school students}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                          T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1

            σ = population standard deviation = 0.9

            n = sample of college students = 39

So, the test statistics  =  [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]

                                       =  -3.47

The value of z test statistics is -3.47.

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that college students watch fewer movies a month than high school students.

Find the value of the expression when p equals 9.

So to solve the expression: 6p + 5

We have to plug in the 9 for p

6p + 5 = ?

6(9) + 5 = ?

Then, we multiply solve.

6 x 9 = 54

54 + 5 = 59

Thus, the final value of the expression is 59.

The value of the expression when p is equal to 9 is 59.

Given that,

Expression; [tex]\rm 6p+5[/tex]

We have to determine,

The value of p when p is equal to 9?

According to the question,

Expression; [tex]\rm 6p+5[/tex]

To determine the value of p the calculation must be done in following steps following all the steps given below.

                   [tex]= 6p+5\\\\= 6 \times 9 + 5\\[/tex]

                    [tex]= 6 \times 9 + 5\\\\= 54 +5\\\\=59[/tex]

Hence, The required value of the expression when p is equal to 9 is 59.

For more details refer to the link given below.

https://brainly.com/question/18334317

Answer:

[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is  [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]

1. Calculate h and k. The hyperbola is symmetric about the origin, so  

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  

3. For 'b': The equation for the asymptote with the positive slope is  

[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]

Thus,  asymptote has the slope of

[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]

4.  The equation of the hyperbola is

[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

Answer: c

Step-by-step explanation: edge 23

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

Answer:

I will prefer the cone having volume 21.21 cubic inches.

Step-by-step explanation:

A cup of ice cream holds ice cream = 21.21 cubic inches

Since volume of a cone = Capacity of the cone to hold the ice cream

Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,

         V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]

           = [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]

           = 7.069

           ≈ 7.07 cubic inches

Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³

Answer:

Step-by-step explanation:

The given function is

[tex]f(c)=7c[/tex]

Where [tex]c[/tex] represents cars. This function models the profits they make.

Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.

The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.

Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

(Notice that we specify that the independent valur can only use whole positive numbers only).

The result follows directly from properties of modular arithmetic:

[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]

That is,

[tex]b\equiv5\pmod{12}[/tex]

means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then

[tex]7b=7(12n+5)=12(7n)+35[/tex]

and taken mod 12, the first term goes away, so

[tex]7b\equiv35\pmod{12}[/tex]

etc

Answer:

  point (-1, 2)

Step-by-step explanation:

Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)

The point-slope form is ...

  y -k = m(x -h)

Comparing this to your given equation ...

  y -2 = (-2/3)(x -(-1))

we see that ...

  k = 2, m = -2/3, h = -1

The point on the graph is (h, k) = (-1, 2).

Answer:

point (-1,2)

Step-by-step explanation:

Answer:

The second option ,$ 352.95  is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21  

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54  

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95  which is the second option

Answer:

6.)66 degrees

7.)20 degrees

Step-by-step explanation:

Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees

If you subtract 114 from 180 you get 66 degrees

Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees

If you subtract 70 from 90 you get 20

Answer:

By splitting two entries, a logical number can be generated.

Step-by-step explanation:

By splitting two entries, a logical number can be generated.

Answer above.

Example: 0, 1, 1/2, 22/7, 12345/67

Hope this helps.

Answer:

Rational numbers are numbers that can turn into fractions.

[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]

All whole numbers and integers are rational.

For decimals, they have to be repeating or non-terminating.  

Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.

Answer:

0.4

Step-by-step explanation:

Round 0.600 - 0.200 = 0.4

Answer:

it’s a

Step-by-step explanation:

Answer:

First answer is -16, second answer is 10

Step-by-step explanation:

Just did it on Edge

Answer:

0.512xx

Step-by-step explanation:

100% - 36% = 64%

64% = 0.64

thus after 1st yr, she is left with the value of 0.64xx

100% - 20% = 80%

80% = 0.8

thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx

Answer:

11/46

Step-by-step explanation:

Given that there are 24 cards numbered 1 - 24

Even Cards = 2,4,6,8,10,12,14,16,18,20,22,24

Odd Cards = 1,3,5,7,9,11,13,15,17,19,21,23

We can see above that in the beginning, we have:

12 odd and 12 even cards (total of 24 cards)

If we draw the first card and it is even,

P(even number on first draw) = 12/24 = 1/2

If the card is not replaced, now we have:

12 odd cards and 11 even cards (total of 23 cards)

If we draw the 2nd card and it is even,

P(even number on second draw) = 11/23

Hence probabliliy of drawing the first even card, not replacing and then drawing another even card

= (1/2) x (11/23)

= 11/46

Answer:

11/46

Step-by-step explanation:

between 1  and 24 there are 12 even numbers.

the probability of selecting an even number the first time is 12/24 = 1/2

the probability of the second one being an even number without replacement is 11/23

the probability of both being even numbers without replacement is:

1/2 * 11/23

= 11/46

Answer:

27 m² (blue fabric)

9 m² (brown fabric)

Step-by-step explanation:

Area of a triangle = 1/2*base *height

Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)

Area of a square = side² = 3² = 9 m² (brown fabric)

Answer:

x < -36

Step-by-step explanation:

Subtract 14 from both sides:

14 + x < -22

-14         - 14

___________

x < -36