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nadezda [96]
4 years ago
12

The triangle shown below has an area of 22 units. Find the missing side.

Mathematics
1 answer:
emmasim [6.3K]4 years ago
5 0

Answer:

11

Step-by-step explanation:

the formula for the area of a triangle is base times height divide by two. 22 is half of 44 so the base would have to be 11.

11 (base) times 4 (height) equals 44 divide by 2 equals final answer of 11

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In how many ways can 5 boys and 4 girls be seated on a bench so that the girls and the boys occupy alternate seats?​
Ne4ueva [31]

Answer:

2880 ways

Step-by-step explanation:

There can be only one arrangement in which boys and girls can sit.

G-B-G-B-G-B-G-B-G

but position of individual boy and girls can be changed.

So, there are 5 girls and 5 slots for them that means they can be arranged in 5! ways,

similarly boys have 4 slots, so they can be arranged in 4! ways.

now, one more thing to consider is that out of 5! arrangements of girls, with each arrangement boys can be arranged in 4! different positions.

so to get the total number of boys and girls arrangements together we would need to multiply the arrangements of both boys and girls.

so the desired answer would be: 5!*4! = 120*24 = 2880 ways.

3 0
3 years ago
(x²-1)³ with Identities how much it is and also explain plzzzz​
4vir4ik [10]

Answer:

use identity (a - b) ^3 = a^3 - b^3 - 3ab (a - b)

here, a = x ^2

b = -1

= (x^2)^3 - (-1)^3 - 3 * x ^2 * -1 ( x^2 - (-1) )

x^6+ 3 x^2 ( x ^2 + 1)

I think this is the answer

8 0
3 years ago
Read 2 more answers
I’m not to sure what one it is
DENIUS [597]

(6,5) is the only pair that you will find in the table.  

4 0
3 years ago
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Please help me I really need help with this
Kobotan [32]

Answer: B, Each of the sums is 180 degrees.

Step-by-step explanation:

Since a 180 degree angle is always a flat line, and that is the case for this,

Each of the sums is 180 degrees.

6 0
3 years ago
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How do you solve ? <br>2(x−(3+2x)+9)=3x−8
PIT_PIT [208]

Hey there!!

Given equation :

... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8

Using the distributive property.

... 2 ( x - 3 - 2x + 9 ) = 3x - 8

... 2 ( -x + 6 ) = 3x - 8

Using the distributive property.

... -2x + 12 = 3x - 8

Subtracting 12 on both sides.

... -2x = 3x - 8 - 12

... -2x = 3x - 20

Subtracting 3x on both sides.

... -2x - 3x = -20

... -5x = -20

Dividing by -5 on both sides.

... x = -20 / -5

... x = 4

<em>Hence, the answer is 4. </em>

Hope my answer helps!

6 0
3 years ago
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