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blsea [12.9K]
3 years ago
5

1. Which part of the angle is the vertex? A. Point C B. Point AB C. AB

Mathematics
1 answer:
sineoko [7]3 years ago
4 0

Answer:

a

Step-by-step explanation:

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In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. If the perimeter of MNPQ is 68 inches, t
Svetlanka [38]

Answer: NP = 9 inches

Step-by-step explanation:

In a parallelogram, the opposite sides are equal.

If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.

If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.

The perimeter is 2MN + 2NP

If the perimeter of MNPQ is 68 inches, it means that

2MN + 2NP = 68- - - - - - - - - - - -1

In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that

MN = 2NP + 7- - - - - - - - - - -2

Substituting equation 2 into equation 1, it becomes

2(2NP + 7) + 2NP = 68

4NP + 14 + 2NP = 68

4NP + 2NP = 68 - 14

6NP = 54

NP = 54/6

NP = 9 inches

6 0
3 years ago
According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi
Pepsi [2]
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
  V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
  dV/dx = 0 = -12x² +2dx
  0 = -2x(6x -d)
This has solutions
  x = 0, x = d/6

a) The largest possible volume is
  (d/6)²(d -4d/6) = 2(d/6)³
  = 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
  d/6 = 18 inches square by
  d -4d/6 = d/3 = 36 inches long

8 0
3 years ago
Dx+hy=j   what does x=
DerKrebs [107]
dx+hy=j\\\\dx=j-hy\ /:d\ \ \ \ and\ \ \ \ d \neq 0\\\\x= \frac{j-hy}{d}
3 0
3 years ago
Read 2 more answers
2 numbers whose product is 40 and sum is -13
lina2011 [118]

Answer:

1.  -5 and -8

2. -7 and -4

3. -15 and -1

4. 7 and -2

5. -5 and 1

6. 2 and -5

7. -8 and 9

8. 5 and -4

Step-by-step explanation:

7 0
2 years ago
Please help. I don't understand this.​
klio [65]

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

7 0
3 years ago
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