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nasty-shy [4]
3 years ago
13

Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer: surface area = 313.2 cm²

Step-by-step explanation:

The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as

Surface area = 3ab + 3bs

Where

a represents the apotherm which is the distance from each side of the hexagon to the center.

b represents the base length

s represents the slant height of the hexagonal base.

From the information given,

a = 5.2 cm

b = 6 cm

s = 12.2 cm

Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²

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professor190 [17]

Answer:

9.108

You only need to look at the 10nths place to determine which number is larger

Step-by-step explanation:

6 0
3 years ago
Are these lines parallel perpendicular or neither
Natasha_Volkova [10]

Answer:

perpendicular

Step-by-step explanation:

start but putting each line into the standard line format

2x-y=-5

-y=-2x-5

y=2x+5

x+2y=-6

2y=-x-6

y=-(1/2)x-3

if lines are parallel the slopes would be the same. 2 is not equal to -1/2

if lines are perpendicular the slope of one would be the opposite inverse of the other.

negative inverse of 2 = - (1/2)

so the lines are perpendicular

8 0
3 years ago
Find the value of the given expression.<br> (see the image)
Andrews [41]

Answer:

d. 14

Step-by-step explanation:

  1. 3(2) = 3 × 2 = 6
  2. Plug 6 in: 12 + {10 ÷ [11 - 6]}
  3. 11 - 6 = 5
  4. Plug 5 in: 12 + {10 ÷ 5}
  5. 10 ÷ 5 = 2
  6. Plug 2 in: 12 + 2
  7. 12 + 2 = 14

I hope this helps!

7 0
3 years ago
Plsss hurrrry math test
Bezzdna [24]

Answer:

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Step-by-step explanation:

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Read 2 more answers
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
chubhunter [2.5K]

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

                                   = 10 × 6

                                   = 60 square units

Area of the semicircle = \frac{1}{2}\pi r^{2}

Here, r = radius of the semicircle

For the semicircle with radius = \frac{6}{2} = 3 units

Area = \frac{1}{2}\pi (3)^{2}

        = 4.5π

        = 14.14 units²

Total area of the composite figure = 60 + 14.14

                                                          = 74.14 square units                                                                                              ≈ 74.1 square units      

3 0
3 years ago
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