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Drupady [299]
3 years ago
7

Factor completely :x^3-8y^3

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0
X^3-(2y)^3

( x-2y)(x^2+x * 2y+4y^2)

final answer ( x-2y)(x^2+2xy+4y^2) 

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Find the height of the triangle by applying formulas for the area of a triangle and
lina2011 [118]

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm  ; c = 18 mm

s = (a + b+c)/2

=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\

s -a =  18 -  12 = 6 mm

s  -b = 18 - 16 = 2 mm

s  -c = 18 - 8 = 10 mm

area = \sqrt{s(s -a)(s-b)(s-c)}

       = \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\

\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\

  = 5.75

Height = 5.8 mm

8 0
2 years ago
Read 2 more answers
QUICKLY PLEASE
KengaRu [80]

Answer:

1 and 5.  First and the last one

Step-by-step explanation:

i just took the ed test.

6 0
3 years ago
Read 2 more answers
Given a 5 liter jar and a 3 liter jar and a unlimited supply of water, how do you measure out 4 liter exactly
andre [41]

Answer:

Given:

5 liter Jar

3 liter jar

Unlimited supply of water.

To measure out 4 liters exactly.

Steps to be carries out to measure out 4 liters of water exactly.

Water content: 3 liter jar = Empty , 5 liter jar = Empty

1) Fill the 3 liter jar completely with water.

3 liter jar = 3 liter , 5 liter jar = Empty

2) Empty the filled 3 liter jar of water by pouring it out into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 3 liter

3) Again fill the empty 3 liter jar completely.

Water content: 3 liter jar = 3 liter , 5 liter jar = 3 liter

4) Pour water from 3 liter jar into 5 liter jar until it is completely filled.

Water content: 3 liter jar = 1 liter , 5 liter jar = 5 liter

5)  Empty the 5 liter jar completely.

Water content: 3 liter jar = 1 liter , 5 liter jar = Empty

6) Empty the 3 liter jar by pouring the water into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 1 liter

7) Fill the 3 liter jar completely with water.

Water content: 3 liter jar = 3 liter , 5 liter jar = 1 liter

8) Empty the 3 liter jar by pouring it into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 4 liter

Now, we have exactly 4 liters of water in the 5 liter jar.

7 0
3 years ago
Figure ABCD is a parallelogram. What is the value of n?
Zigmanuir [339]

Answer

Find out the what is the value of n.

To prove

By using the parallelogram property .

In parallelogram opposite angels are congruent .

As shown in the figure .

∠B = ∠ D

As given

∠B = (2n + 32)°

∠D = (4n - 2)°

(2n + 32) =  (4n - 2)

solving the above

4n -2n = 32 +2

2n = 34

n = \frac{34}{2}

n = 17

Therefore the value of n is 17 .


5 0
3 years ago
Read 2 more answers
Absolute value of 13
natima [27]

Answer:

13.

Step-by-step explanation: the absolute value is the distance away from 0 a number is. 13 is 13 numbers away from 0. the absolute value of negative 5 would simply be 5 since it is still 5 units away from zero, even though it is a negative number.

6 0
3 years ago
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