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Nataliya [291]
3 years ago
14

Find the area of the trapezoid. Answer options: 8sqrt2, 4sqrt3, 12.0, 16sqrt2

Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

=  8sqrt2

Step-by-step explanation:

Area of a trapezium is given by the formula;

1/2(a+b)h ;

Where a and b are the parallel sides and h is the perpendicular height.

a = 3 cm, b= 5 cm

To get; h, we use the Pythagoras theorem;

h² = 3² - 1²

   h² = 8

h = √8

  = √4√2

 = 2√2

Thus;

Area = 1/2(3 +5) 2√2

         = 1/2 ×8 × 2√2

       <u>  = 8√2 cm² or  8sqrt2 cm²</u>

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Solve the inequality for x.<br> 7x-26&lt;-5(2-3x)
Masja [62]

Answer:

x > 2

Step-by-step explanation:

7x-26<-5(2-3x)

first write out the equation

7x-26<-10 +15x

then solve the -5(2-3x)

by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x

7x-15x<-10+26

Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)

and because we put the (-26) into the otherside we do the same thing and change it into (+26)

-8x<16

Now we combine the same numbers so 7x-15x and -10+26

Next we divide both sides by (-8)

so (-8x÷-8) and (16÷-8)

and because we divided with a negative number (-8)

and we have an inequality( < ) we flip the sign from smaller than to greater than.

and so the final answer is x>2

or x is greater than 2

7 0
3 years ago
How many distinct permutations of the letters of the word BANANA
krok68 [10]

Answer:

Their would be 6

1-b, 3-a's, 2-n's

Hope this helps have a great day

7 0
3 years ago
April lost 5 pounds in her first week of college. Over the next three weeks she lost 3 pounds, gained 2 pounds, and then lost 1
Doss [256]

Change in April's weight is -7

<em><u>Solution:</u></em>

Let the initial weight be "x"

April lost 5 pounds in her first week of college

First week = lost 5 pounds

Therefore, x - 5

Over the next three weeks she lost 3 pounds, gained 2 pounds, and then lost 1 pound

<em><u>Next three week:</u></em>

Lost 3 pound

Gained 2 pound

Lost 1 pound

<em><u>Therefore, weight after 4 weeks is given as:</u></em>

x - 5 - 3 + 2 - 1 = x -7

After 4 week, the weight is x - 7

<em><u>The change in April weight is given as:</u></em>

Weight after 4 week - initial weight = x - 7 - x = -7

Thus change in April's weight is -7 (Negative sign represents loss in weight )

4 0
3 years ago
Solve the following equation?<br> 6x-9+5x+8=4x+9+7x-10
kaheart [24]
I’m not sure what you’re looking for but I got 11x - 1 = 11 x - 1 and the statement is true
6 0
3 years ago
Helpppppppppppppppppppppppp
svp [43]
The answer is A. 21.6 just add, 9.2+0.5+6+5.9=21.6

I hope this helps!
5 0
3 years ago
Read 2 more answers
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