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3 years ago

Pls help Brainelist if correct

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

Answer:

2.5 is the scale factor

Step-by-step explanation:

<u>Skills needed: Identifying the Scale Factor, Division</u>

1) First, we need to understand what the scale factor is.

A scale factor is the value being multiplied by one side of a figure to form another figure that is bigger or smaller. For example:

Let's say you are given a triangle with side lengths 3 cm, 4 cm, and 5 cm and you are supposed to find the side lengths of a new triangle when the scale factor being used is 2.
Here, you would multiply all the sides by the value 2. So, the 3 sides are:

3 x 2, 4 x 2, and 5 x 2 ---> 6 cm, 8 cm, 10 cm.

2) So to find the scale factor in a problem, you would do the side of one triangle divided the corresponding side of the other triangle.

So to find the scale factor in the above problem (if we were only given side lengths 3 cm, 4 cm, and 5cm & also 6 cm, 8 cm, and 10 cm), you would do:

$\frac{6}{3}$ or $\frac{8}{4}$ or $\frac{10}{5}$ , all of which equal 2.

3) So in this problem, you would simply do $\frac{10}{4}$ , since 10 and 4 are corresponding sides of dilated triangles.

This is $\frac{5}{2}$ when simplified, or 2.5 as a decimal, since scale factors are usually expressed as decimals.

<em>Hope this helps and have a nice day!! :) :] :D</em>

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Perform the operation indicated, then place the answer in the proper location on the grid. The perimeter of a triangle is 7a - 1

vlada-n [284]

Answer: 4 a - 3 b

Step-by-step explanation:

Since, the perimeter of the triangle = sum of all the three side of the triangle.

Here, two sides of the triangle are 2a + b and a - 9b,

And, the perimeter of the triangle = 7 a - 11

Let third side = x

Therefore, 2 a + b + a - 9 b + x = 7 a - 11 b

⇒ 3 a - 8 b + x = 7 a - 11 b

⇒ x = 7 a - 11 b - 3 a + 8 b

⇒ x = 4 a - 3 b ( by operating like terms)

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What is 3/4 the distance from 7

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5.099

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3 years ago

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that

Marat540 [252]

A dilation can elongate or diminish a figure. It can create an image the same as the original by using a scale factor. The scale factor of a dilation is the ratio of corresponding side lengths. To dilate a polygon, multiply the coordinates of each vertex by the scale factor k and connect the vertices.

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3 years ago

Read 2 more answers

6. Geographic Trends Janice has been offered

Scilla [17]

The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

<h3>What is the total cost?</h3>

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

$S=\dfrac{100+20}{100}\times30000\\S=36000$

He gets 6000 thousand extra after increment. Her annual income is,

$S=36000\times12\\S=432000$

Before accepting the position, Janice wants to understand her potential cost of living.

She estimates that rent will be $1,500 per month. Thus, the

She will have to take the train to and from work, which will be $3.50 round trip daily.
Her food cost will be $75 per week.

Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

$S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190$

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

Learn more about the total cost here;

brainly.com/question/25109150

#SPJ1

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2 years ago

Please help me with these

Alex Ar [27]

When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
$\lim_{x \to 0} (\frac{sinx}{x}) = 1$
$\lim_{x \to 0} (\frac{tanx}{x}) = 1$
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) $\lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}$

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
$\frac{\sqrt{0} - 5}{0 - 25}$
$= \frac{-5}{-25}$
$= \frac{1}{5}$

<em>Method 2: Rearranging the function
</em>
We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

$\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}$
$= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}$
$= \frac{1}{5}$

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.

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3 years ago