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vampirchik [111]
3 years ago
14

Find the H.C.F of the following expressions.

Mathematics
1 answer:
Art [367]3 years ago
5 0

Step-by-step explanation:

Hey there!

Please look your required answer in pictures.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

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Please provide an explanation for the last three questions.
zavuch27 [327]
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2 years ago
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A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0
3 years ago
Please help i really need it
Naya [18.7K]

Answer:

Oliver's living expenses- 520(.1)=$52

3 0
3 years ago
X + 9 = 7 <br> How do you move the constant to the right side and change it’s sign
Otrada [13]

Step-by-step explanation:

X + 9= 7

get x by itself you -9 on both sides

X + 9 = 7

- 9. -9

X = -2

8 0
2 years ago
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Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
Vinil7 [7]

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

6 0
3 years ago
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