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zlopas [31]
4 years ago
13

Rectangle ABCD and right triangle DCE have the same area. They are joined to form a trapezoid, as shown. What is DE?

Mathematics
1 answer:
vfiekz [6]4 years ago
6 0
Since the areas are the same  (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12.  (1/2 of  5 x 12 is also 30)

So now we use the Pythagorean theorem

a² + b² = c²   we have 5² + 12² = c²  or 25 + 144 = c²  or 169 = c²

The square root of 169 is 13 so side DE is 13 units.
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Y = 5- 2<br> 1-3x + y = -12<br><br> What is the value of x and y ?
zloy xaker [14]

Answer:

x=5.333

y=3

Step-by-step explanation:

given, y=5-2............(1)

1-3x+y=-12...............(2)

y=5-2=3

put y=3 in equ (2)

1-3x+3=-12

1+3+12=3x

3x=16

x=\frac{16}{3}

x=5.333

hence, x=5.333

           y=3               answer

7 0
3 years ago
Some one please help me with this math homework thank you. God bless you all.
Angelina_Jolie [31]
3/12 because it is an uneven # and because that is a simple as it will go hope this helps and god bless you ;)
6 0
3 years ago
The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis
natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

S=v\cdot t,

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.

8 0
4 years ago
Which of the following is not an example of a perfect square?<br> a. 9<br> b. 200<br> c. 4<br> d. 64
timurjin [86]

The answer is nine .nine is not a perfect square.

8 0
4 years ago
Read 2 more answers
A family travels, by plane, five hundred miles from their city to a beach town. Then they take a taxi from the airport to the ho
Juliette [100K]
To work out how many miles the distance from the airport to the beach, we can use 1km ≈ 0.62 miles
To get from 20km from 1km, we multiply by 20
If we do the same to 0.62
0.62 x 20 = 12.4 miles
Next step is to add this on to the 500 miles they travelled by plane
500 + 12.4 = 512.4 miles

4 0
3 years ago
Read 2 more answers
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