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Radda [10]
3 years ago
15

TOO Roberto 05.03 MC)What is the area, in square units, of the polygon shown here?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0
To answer this item, we may divide the given figure into two: (1) upper portion and (2) lower portion.

We solve first for the area of the lower portion figure, that is a rectangle with height equal to 1 unit and length of 5 units. 

The area of a rectangle is calculated by multiplying its dimensions as shown in the formula below.
                        Area = Height x Length
Substituting,
                       Area = (1 unit) x (5 units) = 5 unit squared

Next, we have the second figure, upper portion. The length of this figure is given to be 2 units. The height is equal to 5 units - 1 unit because the 1 unit was already covered in the first figure. Thus, the height is equal to 4 units.

Solving for the area,
                       Area = (4 units)(2 units) = 8 units squared

Then, adding up both areas,
                 total area = (5 unit squared) + (8 unit squared) = 13 units squared

<em>ANSWER: 13 unit squared</em>

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The length of a rectangle is 13 centimeters less than three times its width. Its area is 56 square centimeters. Find the dimensi
tatuchka [14]

Answer:

Area = length  x width

Area = (3width - 13) x width

Area = 3 width^2 -13width

56 = 3width^2 -13 width

Width = 7

Length = (3 *7) -13 = 8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greate
makkiz [27]
P=2(L+W)
l=x+7
w=x
P=2(x+7+x)
P=2(2x+7)
P=4x+14

hast to be greater than 154

P>154
4x+14>154
minus 14 both sides
4x>140
divide 4
x>35


4 0
4 years ago
Triangle A″B″C″ is formed by a reflection over y = −3 and dilation by a scale factor of 2 from the origin. Which equation shows
TiliK225 [7]

Answer:

The correct answer is C if the answers are the same as the picture attached.

 

6 0
3 years ago
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2. In 2010, the population of a town is 8500. The population decreases by 4.5% each year.
Korvikt [17]
This exponential growth/decay (in this case decay because r<1) of the form:

f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.

Since the population decreases by 4.5% each year the common ratio is:

r=(100-4.5)/100=0.955 so we can say

P(t)=8500(0.955^t)  

....

7000=8500(0.955^t)

14/17=(955/1000)^t  taking the natural log of both sides

ln(14/17)=t ln(955/1000)

t=ln(14/17)/ln(955/1000)

t≈4.22 years (to nearest hundredth of a year)

Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
5 0
3 years ago
For an oblique rectangular prism, find the volume if the height is divided up into 30 sections, with a total height of h = 60cm,
ladessa [460]

Answer:

Volume of a prism =BH

(length ×width)×height  

(10×20)×60

=12000cm3

Step-by-step explanation:

7 0
3 years ago
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