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Dafna11 [192]
3 years ago
11

Find the missing variable for a parallelogram:

Mathematics
2 answers:
irakobra [83]3 years ago
4 0
Since the formula to find the area of a parallelogram is base times height (A=bh), and you have been given the area and base already, you can set up an equation. Let h=height in this formula. h x 3.4 = 25. Using this formula, to find the height, you would divide 25 by 3.4 and get approximately 7.35 inches. So, your height= 7.35in. Hope this helps!
Svetllana [295]3 years ago
3 0

Answer:

The missing variable for a parallelogram:

height (h) ≈ 7.35 in or

height(h) ≈ 18.67 cm

Explanation:

Area of parallelogram is base times the height.

i.,e A =b \times h where A is the area , b is the base and h is the height of the parallelogram respectively.

Given: Area (A) = 25 square in.  and breadth(b) = 3.4  in.

To find the height:

Apply parallelogram;

A = b \times h

Substitute the value of A and b in above formula;

25 = 3.4 \times h

Divide by 3.4 to both sides;

\frac{25}{3.4} = \frac{3.4}{3.4}h

Simplify:

7.35294118 in = h

or

h ≈ 7.35 in.

To find height in cm

Use 1 in = 2.54 cm

then, h =18.6764 ≈18.67 cm

Therefore, the height in inches is 7.35 in. (approx)

or the height in cm is; 18.67 cm (approx)


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Answer:

P (-1 , 0)

Step-by-step explanation:

M (-6 , 2)      N (9 , -4)     P (x , y)

horizontal distance of M and N = 9 - (-6) = 15

vertical distance of M and N = 2 - (-4) = 6

1/3 from x coordinate of M (-6): -6 + 15/3 = -1    This is x coordinate of point P

1/3 from y coordinate of M (2): 2 - 6/3 = 0    This is y coordinate of point P

P (x , y)  i.e P (-1 , 0)

check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385

distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77

MP / PN = 5.385 / 10.77 = 0.5 = 1/2

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-0.75-(-2/5)+0.4+(-3/4)
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-0.75-(-2/5)+0.4+(-3/4) =  -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

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9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

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11 - Then add -0.35 and 0.4.

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13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

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14 - We combine the numerators over the common denominator.

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15 - We simplify.

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16 - Then we divide -2.8 / 4

The final answer is -0.7

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