Will give brainliest! please answer correctly!

Answer:

a.) 4 : 9

b.) 16 : 81

Explanation:

a.) Ratio of perimeter will still be

4 : 9

b.) The two similar triangles  ΔABC and ΔDEF as shown from the attached figures. That is

AB/DE = AC/DF = BC/EF

It is apparent that ΔAPB and ΔDEQ are also similar as all respective angles are equal. Hence,

AB/DE = AP/DQ = BP/EQ

Moreso ΔABC = 1/2 × BC × AP  and   ΔDEF = 1/2 × EF × DQ and

ΔAPB/ΔDEQ = BC/EF × AP/DQ

But 

AP/DQ = AB/DE = BC/EF

 and hence

ΔAPB/ΔDEQ = BC/EF × BC/EF

= BC^2/EF^2  and as

BC/EF = AC/DF = AB/DE

ΔAPB/ΔDEQ = AC^2/DF^2 = BC^2/EF^2

= AB^2/DE^2

Hence if sides of two similar triangles are in the ratio a:b, their areas are in the proportion a^2:b^2

As in given case sides are in the ratio of 4:9.

ratio of their areas is 4^2:9^2 or 16:81.

The ratio (smaller to larger) of the perimeters of this similar triangle is equal to 4:9 and 16:81 for their areas.

Given the following data:

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

Mathematically, the perimeter of a triangle is given by this formula:

[tex]P=A+B+C[/tex]

Where:

Scale factor can be defined as the ratio of two (2) corresponding length of sides in two similar geometric figures such as equilateral triangles.

In Geometry, if the scale factor of two (2) similar geometric figures is given as a:b, then;

In conclusion, the ratio (smaller to larger) of the perimeters of this similar triangle is equal to 4:9. Also, the ratio (smaller to larger) of their areas is equal to [tex]4^2 :9^2=[/tex] 16:81.

Read more on perimeter of a triangle here: https://brainly.com/question/24382052

Answer:

40 is the answer

Explanation:

As per the given details, we can expect that 40 of the 480 butterflies that visit Ellie's garden will be giant swallowtails.

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator.

Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.

The total number of butterflies observed in the last hour is:

32 + 56 + 8 = 96

This represents the fraction of the total butterflies that were observed, and we can set up a proportion to solve for the number of giant swallowtails in the total population:

8/96 = x/480

Multiplying both sides by 480, we get:

x = (8/96) * 480

x = 40

Therefore, we can expect that 40 of the 480 butterflies that visit Ellie's garden will be giant swallowtails.

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Explanation:

[tex]528m = 52800cm \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.528km[/tex]

Answer:

The total charge of Aaron after 3 nights:

C = 99.95 x (1 + 8/100) x 3 + 5 = 328.84 dollar

Hope this helps!

:)

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. Aaron’s total charge, in dollars, for staying 3 nights is 328.84 dollars.

Charge or payment is a given amount of money on which, in exchange, we get to use things or buy things. Hotels, restaurants, and café are the places that charge you money in exchange for using their resources.

Given, the hotel charges $99.95 per night

The tax applied is 8% for the room rate

An additional one-time charge is $5.00

The total charge in dollars is:

The total charge of Aaron after 3 nights:

C = $99.95 x (1 + 8 / 100) x 3 + $5 = 328.84 dollar

As, 8%, so 8 will be divided by 100 and all others are money in dollars.

Therefore, the total charge to Aaron after 3 nights is $328.84.

To learn more about charge, refer to the link:

https://brainly.com/question/16916769

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