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Andrei [34K]
4 years ago
10

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the

Mathematics
1 answer:
Annette [7]4 years ago
8 0

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

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PLZ HELP I WILL GIVE YOU BRAINLY!!!
Juli2301 [7.4K]

Answer:

5.9

Step-by-step explanation:

tan30 = DB/14

DB = 14tan30

tan45 = AB/14

AB = 14tan45

AD = AB-DB =14tan45 -14tan40 = 5.91709

5 0
3 years ago
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Please help asap ill give brainlest
snow_tiger [21]

Answer:

1.- If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.

2.- The square root of a number is that number which when multiplied by itself two times gives us that number.

Example:

Let us use the square root of 64.

√64 = x , so that (x)(x) = 64

We know that, (8)(8) = 64

∴ √64 = 8

The cube root of a number is that number which when multiplied by itself three times gives us that number.

Example:

Let us use the square root of 64

∛64 = x , so that (x)(x)(x) = 64 ,

We know that, 4 x 4 x 4 = 64

∴ ∛64 = 4

6 0
3 years ago
A-Plus Printers charges a one-time fee of $26 plus $.12 per flyer to print and deliver
Lena [83]

for 201 onwards we will see that the cost in A-Plus Printers less than the cost at Print-and-More

<h3>For how many flyers is the cost at A-Plus Printers less than the cost at Print-and-More?</h3>

A-Plus Printers charges $26 plus $0.12 per flyer, so if you print x flyers, the total cost is:

f(x) = $26 + $0.12*x

For Print-and-More, they charge only $0.25 per flyer, so here the equation is:

g(x) = $0.25*x

Here we need to see for which value of x the costs are the same:

f(x) = g(x)

$26 + $0.12*x =  $0.25*x

Now we can solve that linear equation for x:

$26 = $0.25*x - $0.12*x

$26 = $0.13*x

$26/$0.13 = 200

This means that for 200 flyers, the cost is the same in both places, then for 201 onwards we will see that the cost in A-Plus Printers less than the cost at Print-and-More.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

8 0
2 years ago
I need help with this proof.<br>​
mylen [45]

Answer:

My proof is in the explanation.  

Step-by-step explanation:

This is a two-column proof.

One column for statements and the other for the reason for that statement.

Hopefully it shows up well on your screen. Let me know if it doesn't.

Statement                                          |        Reason

1) CD is the perpendicular                   1) Given

bisector of AB

2) AD=DB                                              2) Definition of bisector

3) CD=CD                                              3) Reflexive property

4) mAngleCDA=90                               4) Definition of perpendicular

5) mAngleCDB=90                               5) Definition of perpendicular

6) mAngleCDA=mAngleCDB               6) Substitution property

7) Corresponding parts of each           7)  SAS

triangle are congruent                                (side-angle-side)

8) AC=CB                                               8) The two triangles are ............................................................................congruent so

                                                                   the corresponding parts ............................................................................are

                                                                   congruent.

4 0
3 years ago
945 times 134 is equal to what
allochka39001 [22]

945*134=126630

if you line them up and then multiply like that it makes it easier or just use a calculator i guess

8 0
3 years ago
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