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noname [10]
3 years ago
12

Whats the area of this shape

Mathematics
1 answer:
forsale [732]3 years ago
4 0
First cut the shape into a square, triangle and rectangle. Then add all 3 areas. Area of a quadrilateral is A= b x h So once square is 4 X 4= 16. The rectangle has a area of 4 x 2= 8. The triangle, using the formula 1/2bh has an area of 1/2 x 2 x 4 = 4. So the area of the shape is 16 + 8 + 4 = 28 units
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Suppose the coordinate of a is 0, ar = 5, and at =7. What are the possible coordinates of the midpoint of rt ?
77julia77 [94]

Here 'a' corresponds to 0.

Now there are two possibilities for 'r' & 't'

Case 1.

They are on the same side to the right of 'a'

In that case 'r'  corresponds to 5 & 't' corresponds to 7.

The midpoint of 'r' and 't' shall be \frac{5+7}{2} =6

Case 2.

Both are on the left of 'a'.

In that case 'r' corresponds to -5 & 't' corresponds to -7

The midpoint shall be \frac{-7-5}{2} =-6

Case 3.

'r' in on the right of 'a' and 't' is on the left of 'a'

So 'r' corresponds to 5 and 't' corresponds to -7

The midpoint shall be \frac{-7+5}{2}=-1

Case 4.

'r' is on the left of 'a' & 't' is on the right of 'a'.

'r' corresponds to -5 & 't' corresponds to 7

The midpoint shall be \frac{-5+7}{2}=1

The possible coordinates of the midpoints of rt are 6, -6, 1, -1.

4 0
4 years ago
WORTH 99 POINTS!
Ksivusya [100]
The general formula for the lateral surface area of a regular pyramid is:
A= \frac{1}{2} *p*l
Where:
p=perimeter of a base
l=slant height

a.
a=3ft
l=4ft
p=5*a=5*3=15ft
A= \frac{1}{2} *15*4=30 ft^{2}

b.
a=2.5ft
l=4ft
p=6*a=6*2.5=15ft
A= \frac{1}{2} *15*4=30 ft^{2}

c.
a=1.9ft
l=4ft
p=8*a=8*1.9=15.2ft
A= \frac{1}{2} *15.2*4=30.4 ft^{2}

d.
Based on a lateral surface area the blue umbrella is best choice. But, the best umbrella overall is the one with the greatest base area. General formula for regular polygon is:
A= \frac{1}{4} *n* a^{2}*cot( \frac{180}{n} )

For pentagon:
A=15.48ft^2
For hexagon:
A=16.24ft^2
For octagon:
A=17.43ft^2
Blue umbrella is still best choice.
8 0
3 years ago
Read 2 more answers
Approximately how far is it from new york city to london? 500 miles 1,000 miles 3,000 miles 10,000 miles
emmainna [20.7K]
New York City is around 3,000 miles away from London
6 0
3 years ago
A band expects to put 16 songs on their next CD. The band writes and records
777dan777 [17]

Answer:

14 songs on the final CD.

4 0
3 years ago
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x
Korvikt [17]
For the center of this circle the right choice will be choice B. (-21,-19)

and its radius sqrt849 = 849^(1/2) so choice B. is right for this too

hope this will help you 
8 0
3 years ago
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