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bija089 [108]
3 years ago
12

pls help! easy and will give brainlyest. which of the following statements about the Pythagorean Theorem and its convers are tru

e

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

C: A and B are true

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Please help i put a picture below
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

5 0
3 years ago
You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $
Minchanka [31]
There are 2 parts to this question.  1. One would be to calculate the interest based on your balance and 2. then to add the late fee.  Use the formula i = prt to calculate your simple interest. <em>i</em> represents the interest you will pay, <em>p</em> stands for the principal (balance on your credit card), and <em>t</em> stands for the period of time (related to a period of a year/annual percentage rate).  The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14.  So, $1998 + $24.14 + $37 = $2059.14 balance.  

7 0
3 years ago
Read 2 more answers
A gardener uses 1/3 of a liter of water to water 2/7 of a garden.
Serjik [45]

the gardener would need (1 + 1/6) liters of water to water the whole garden.

<h3>How much water would the gardener need to water the whole garden?</h3>

Here we know that the gardener needs 1/3 of a liter of water to water 2/7 of a garden.

Then we have the relation:

1/3 L = 2/7 of a garden.

Now, we want to get a "1 garden" in the right side of the equation, then we can multiply both sides by (7/2), so we get:

(7/2)*(1/3) L = (7/2)*(2/7) of a garden

(7/6)L = 1 garden.

(1 + 1/6) L = 1 garden

This means that the gardener would need (1 + 1/6) liters of water to water the whole garden.

If you want to learn more about fractions:

brainly.com/question/11562149

#SPJ1

5 0
1 year ago
The following is a data set of five quiz scores.
Daniel [21]

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation:

4 0
2 years ago
four spheres of radius 6cm fit into a cylinder with a height of 12cm. calculate the volume inside the cylinder that is empty. le
butalik [34]

Answer:

V = 432pi cm^3

Step-by-step explanation:

Pi x r^2 x h

Pi x 6^2 x 12 cm = 432 pi cm^3

7 0
3 years ago
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