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professor190 [17]
3 years ago
8

X22abab tobThe diagianKn showsrectangle. The shadeFind x.​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

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frutty [35]

x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.

Step-by-step explanation:

Given,

Number of banana breads and nut breads to bake = at most 30

At most 30 means the amount cannot exceed 30.

Selling price of each banana bread = $2.50

Selling price of each nut bread = $2.75

Amount to make = $44 at least

At least 44 means that the amount cannot be less than 44.

Let,

x represent the number of loaves of banana bread to be sold

y represent the number of loaves of nut bread to be sold

x+y≤30

2.50x+2.75y≥44

x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

  • brainly.com/question/4793866
  • brainly.com/question/4824362

#LearnwithBrainly

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3 years ago
M is the midpoint of AB. A is at (-5, 1) and M is (-1,4). Find the coordinates of B. Select one: O a (-3.2.5) O b.(-1.4) O c. (2
coldgirl [10]

Answer:

A (-3, 2.5)

Step-by-step explanation:

Midpoint formula is m=(x1 + x2/2), (y1 + y2/2)

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Then divide them by 2

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4 0
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M^2 = 49
M^2 = 7^2
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