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Viktor [21]
3 years ago
10

Find the area of the polygon shown. Enter the number into the box. ft? 1 ft 4 ft 4 ft

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2

Therefore, the area of the trapezium is 18 ft²

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A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 types of cups, 4 types of bowls, and 2 types o
Slav-nsk [51]

Answer:

40.

Step-by-step explanation:

That is 5 * 4 * 2

= 40 combinations of a set of bowl, cup and spoon.

6 0
4 years ago
Kathy wants to buy a camera with an original price of $389. The camera is on sale with a 33% discount. What is the amount of dis
Verizon [17]

Answer:

$128.37

Step-by-step explanation:

Find 33% of 389:

389(0.33) = 128.37

The amount of the discount is $128.37

6 0
3 years ago
Solve please <br> - 4 + 5x = 11<br> x=____
kondaur [170]

Step-by-step explanation:

Given

- 4x + 5x = 11

or 5x = 11 + 4

or 5x = 15

or x = 15 /5

Therefore x = 3.

Hope it will help :)❤

5 0
3 years ago
Read 2 more answers
20 PTS! Please Help!!!! Will Give Brainliest!! This is a Khan Academy Problem!!!
klemol [59]

Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:

34.4 units.

<h3>What is the perimeter of a figure?</h3>

The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.

In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of segment AB is:

AB = \sqrt{(6 - 0)^2+(0 - 7)^2} = 9.2

The length of segment BC is:

BC = \sqrt{(6 - 3)^2+(0 + 4)^2} = 5

The length of segment CD is:

CD = \sqrt{(-3 -3)^2+(-4 + 4)^2} = 6

The length of segment DE is:

DE = \sqrt{(-6 + 3)^2+(0 + 4)^2} = 5

The length of segment EA is:

EA = \sqrt{(-6 +0)^2+(0 - 7)^2} = 9.2

Hence the perimeter is:

P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.

More can be learned about the perimeter of a figure at brainly.com/question/18610622

#SPJ1

3 0
2 years ago
How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.
Neko [114]
A=P(1+ \frac{r}{n})^{nt}
A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years

so
P=200
r=0.06
n=1
t=6

evaluate to find A
A=200(1+ \frac{0.06}{1})^{(1)(6)}
A=200P(1.06)^{6}
A=283.704
round
A=$283.70
6 0
3 years ago
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