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oksano4ka [1.4K]
3 years ago
5

Find the surface area of each figure. Round to the nearest 10th

Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

The surface area of the figure is 352 cm².

Step-by-step explanation:

Given:

Length(l) = 12 cm.

Width(w) = 4 cm.

Height(h) = 8 cm.

Now, to find the surface area.

By putting the formula to get the surface area:

Surface area = 2(l×w+w×h+h×l)

Surface\ area =2(12\times 4+4\times 8+8\times 12)

Surface\ area =2(48+32+96)

Surface\ area =2\times 176

Surface\ area =352 cm^2.

Therefore, the surface area of the figure is 352 cm².

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natka813 [3]

Answer:

1,200

Step-by-step explanation:

20 X 12 X 5 = 1,200

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3 years ago
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Solve 8z + 12 = 5z − 21
Mekhanik [1.2K]
z = -11

Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
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Hope this helps you! (:
-Hamilton1757
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3 years ago
Which answers describe the shape below? Check all that apply.
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Answer:

F

Step-by-step explanation:

Because it has a different length and width .

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3 geometry questions, 30 points!
polet [3.4K]

Answer:

A ) The value of x for  the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082

Step-by-step explanation:

Given two figures :

<u>For Figure first  </u>

A circle with center y ,  having two chords FM and NM

FM = 5 x

MN = 2 x + 25

Now from theorem of circle ,

Chords equidistant from center of circle are equal in length

I.e distance of chord MN from center y  and distance of FM from center y are equal

So, FM = MN

Or, 5 x = 2 x + 25

Or, 5 x - 2 x = 25

Or, 3 x = 25

∴       x = \frac{25}{3} = 8.33

<u>For figure second</u>

The length of two adjacent chords of circle is 1.2 cm and 0.5 cm

Let the center of circle = O

Length of chord AB = 1.2 cm

Length of chord BC = 0.5 cm

As both chords are at 90° to each other

So The Length of diameter of circle AC = \sqrt{AB^{2}+BC^{2}}

Or, The Length of diameter of circle AC = \sqrt{1.2^{2}+0.5^{2}}

Or, The Length of diameter of circle AC = \sqrt{1.44+0.25}}

Or, The Length of diameter of circle AC = \sqrt{1.69}

∴ The Length of diameter of circle AC = 1.3 cm

So, Circumference of circle = \pi d

Or, Circumference of circle = 3.14 × 1.3

∴ Circumference of circle = 4.082 cm

Hence,

A ) The value of x for  the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer

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