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3 years ago

How can you use ratios to determine if two figures are similar?

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .

Step-by-step explanation:

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Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

8 0

3 years ago

A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. What is the area of the pool?

Tomtit [17]

You just need to multiply them together the. You'll get 2275/6 or 379 1/6 sq feet

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3 years ago

Help give thanks stars

Lilit [14]

0.5a - 1.9b = -1.4 b

3 0

3 years ago

A well of diameter 4m is dug 14m deep. The earth taken out is spread evenly all around the well to form a 40cm high embankment.

dimulka [17.4K]

Answer:

82.72m

Step-by-step explanation:

Volume = πr2h

= 3.142*7*7*14

= 2,155.41m³

Now that we hav the volume of earth, we go on to find the raduis of the spread

2155.41m³ = 3.142*r²*0.4

2155.41m³ = 1.26r²

r² = 1,710.64

r = 41.36m

Width = diameter = 2r = 82.72m

8 0

3 years ago

Please help!! Will get brainliest! Zoom if can’t see. Correct answer only!!

8090 [49]

Domain = Set of all real numbers, which is choice B
Range = Choice C) $y \le 3$

The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.

The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex.
The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore $y \le 3$ where y is a real number

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3 years ago