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Ksenya-84 [330]
3 years ago
13

Split 294x306, which identity is used to solve it?

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

identity :- ( a + b ) ( a - b ) = a² - b ²

Answer :- 89,694

Step-by-step explanation:

Given : 294 × 306

split 294 × 306

294 × 306 = ( 300 - 6 ) × ( 300 + 6 )

Using Identity, ( a + b ) ( a - b ) = a² - b ² :

= ( 300 )² - ( 6 )²

= 90000 - 36

= 89,964

Hence, 294 × 306 = 89,694

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The height of the isosceles triangle is twice the length of its base what are the coordinates of the undefined vertex ?
gayaneshka [121]

<u>Answer-</u>

<em>The coordinate of the vertex is </em><em>(7, 12)</em>

<u>Solution-</u>

The coordinates of two end points of the base are, (4, 0), (10, 0)

As the triangle is an isosceles triangle, so the other vertex will be on the perpendicular bisector of the base.

The mid-point of the base is,

=(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2})

=(\dfrac{4+10}{2},\ \dfrac{0+0}{2})

=(\dfrac{14}{2},\ \dfrac{0}{2})

=(7,\ 0)

As given that the length of the height is twice that of the base,

Length of the base is,

=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

=\sqrt{(10-4)^2+(0-0)^2}

=\sqrt{(6)^2}

=6

Length of the height will be =6\times 2=12

So the vertex is 12 units vertically up from the mid-point (7, 0). Then the coordinate of the point will be (7, 12)

7 0
3 years ago
12 (X + 2) - 4x = 4( 2X + 11 ) -20<br><br>Solve for X ​
liberstina [14]

Answer:

Step-by-step explanation:

12 (x + 2) - 4x = 4 (2x + 11) - 20

12 + 24 - 4x = 8x + 44 - 20

36 - 4x = 8x + 24

36 - 24 = 8x - 4x

12 = 4x

----   ----

 4     4

3 = x

-x = -3

x = 3

5 0
2 years ago
What is the total perimeter of this figure? Express your answer in feet.
bezimeni [28]

Answer:

i need to see the figure

Step-by-step explanation:

7 0
3 years ago
List 5 fractions that are between 1/3 and 4/5
koban [17]

9514 1404 393

Answer:

  2/5, 7/15, 8/15, 3/5, 2/3

Step-by-step explanation:

If these fractions are expressed with a common denominator, that would be 3×5 = 15. Then the given fractions are 1/3 = 5/15, and 4/5 = 12/15. The numerators 5 and 12 differ by 7, so we can easily choose 5 fractions in that range:

  6/15 = 2/5

  7/15

  8/15

  9/15 = 3/5

  10/15 = 2/3

_____

<em>Alternate solutions</em>

There is no requirement for the fractions to be written any particular way or with any particular spacing. The limits in decimal are 1/3 = 0.3333...(repeating) and 4/5 = 0.8. We could choose the decimal fractions ...

  0.34, 0.40, 0.50, 0.60, 0.70

or

  0.41, 0.52, 0.63, 0.74, 0.79

7 0
3 years ago
Your delivery runs took 7 hours 12 minutes on Monday,6 hours 46 minutes on Wednesday and 6 hours 53 minutes on Friday. What was
blagie [28]
7 hours + 6 hours + 6 hours
=19 hours
12 minutes + 46 minutes + 53 minutes
=111 minutes
=1 hour 51 minutes

19 hours + 1 hour and 51 minutes is 20 hours and 51 minutes. This is the total time.

Average time = total time/number of deliveries

(20 and 51/60) divided by 3
=6.95 hours
= 6 hours and 57 minutes
5 0
3 years ago
Read 2 more answers
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