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professor190 [17]
3 years ago
11

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

x=2

AB=8

BC=8

AC=16

Step-by-step explanation:

7x-6=12-2x

7x+2x=12+6

9x=18

x=2

AB=7x-6=7(2)-6=14-6=8

BC=12-2x-12-2(2)=12-4=9

AC=8+8=16

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A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1960 mailboxes t
MaRussiya [10]

Answer:

  7088 m²

Step-by-step explanation:

The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...

  A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²

The area of the bottom part of the box is the sum of its lateral area and its base area.

  lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²

  base area = lw = (0.8 m)(0.6 m) = 0.48 m²

The total area is then ...

  total area = half-cylinder area + lateral area + base area

  = 1.0362 m² +2.1 m² +0.48 m²

  = 3.6162 m²

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The area for 1960 mailboxes will be 1960 times this area, or ...

  area for week's production = 1960 × 3.6162 m² = 7087.752 m²

It will take about 7088 square meters of aluminum to make these mailboxes.

5 0
3 years ago
40% of the students on a field trip love the museum. If there are 20 students on the field trip, how many love the museum?
ss7ja [257]
If there's a total of 20 students and 40% love the museum. 20 * .40 = 8 students love the museum.
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2 years ago
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vagabundo [1.1K]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Find the slope of the line represented by the table. Show all work
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3 0
3 years ago
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poizon [28]

Answer:

Step-by-step explanation:

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4 0
3 years ago
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