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givi [52]
2 years ago
14

Please help, been stuck on this for ages!

Mathematics
1 answer:
marishachu [46]2 years ago
8 0

Answer:

\boxed {192 cm^{2}}

Step-by-step explanation:

<u>Find the volume of separate cuboids</u> :

<u>Volume (top cuboid)</u> :

⇒ V = 2 x 6 x (10 - 2)

⇒ V = 12 x 8

⇒ V = 96 cm²

<u>Volume (lower cuboid)</u> :

⇒ V = 8 x 6 x 2

⇒ V = 48 x 2

⇒ V = 96 cm²

<u>Volume (prism)</u> :

⇒ 96 + 96

⇒ 192 cm²

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The clock has a diameter of 18 inches. At 8 o'clock, what is the area of the sector formed by the two hands of the clock? Round
Drupady [299]

Answer:

The area of the sector is 84.8 in.² to the nearest tenth

Step-by-step explanation:

∵ the clock is a circle

∴ The measure of angles between each two hours = 360° ÷ 12 = 30°

∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12

∴ There are 4 angles between the two hands

∴ The central angle subtended by the arc = 4 × 30° = 120°

∵ The Area of the sector = \frac{x}{360} \pi r^{2} where x is the central angle subtended by this arc

∴ Area sector = \frac{120}{360} × π × (18/2)²

∴ Area sector = \frac{1}{3} × π ×81 = 27π = 84.8 in² to the nearest tenth

8 0
3 years ago
Which expression is equivalent to Cube root of 216 x Superscript 27 ?
Gala2k [10]

Answer:

72x3 or 6x9 sorry if wong

Step-by-step explanation:

8 0
3 years ago
Four balls of wills will make 8 knitted caps. How many balls of wills will Malcom need if he wants to make 6 caps ?
Fittoniya [83]
<span>We know that 4 balls will make 8 caps. Than x balls will make 6 caps. We will use the proportion: 4 / 8 = x / 6. After that we will cross multiply: 8 x = 6 * 4, 8 x = 24, x = 24 : 8, x = 3. Answer: 3 balls of wills will make 6 knitted caps. I hope that my answer is helpful! Let me know if you need something more :)</span>
8 0
3 years ago
If you can help it would mean a lot
irina [24]

Answer:

z=66

Step-by-step explanation:

Since VX is a mid-segment of UWY:

\frac{z - 33}{z}  =  \frac{1}{2}

z = 2z - 66 \\  - z =  - 66 \\ z = 66

8 0
3 years ago
Can you explain with work please
kari74 [83]
So what is happening is you need to find out the unknown length. Because the side EH is similar to side AD ( its similar because the shape has been rotated) you can put them over one another. Now you need to have another equal side to complete the problem so you use the other set  of sides.  To make this problem easier we should make the side EH into a variable. to make it AD over X. now the problem is BC over FG is = to AD over X. The next step is to simplify into numbers because it is hard to just work with letters. So now the problem is 12 over 30 = 16 over X. The next step is to cross multiply so the problem is 12X = 30 x 16. Now we can simplify this equation to 12X= 480. the next thing you want to do is to divide 240/12 because you need to get X by its self. Resulting in (Remember X stands for EH)  EH = 40in.                                                  
5 0
3 years ago
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