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Elina [12.6K]
2 years ago
7

Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952

. The number he chooses in the beginning was
I'M IN LOVE WITH A FAIRYTALE
EVEN THOUGH IT HURTS
CAUSE I DON'T CARE IF I LOOSE MY MIND
I'M ALREADY CURSED ​
Mathematics
1 answer:
Georgia [21]2 years ago
5 0

Answer:

888

Step-by-step explanation:

let the number be n then divide by 8 , that is \frac{n}{8}

now add 8 to this

\frac{n}{8} + 8 and finally multiply this by 8 and equate to 952

8(\frac{n}{8} + 8) = 952 ( divide both sides by 8 )

\frac{n}{8} + 8 = 119 ( subtract 8 from both sides )

\frac{n}{8} = 111 ( multiply both sides by 8 to clear the fraction )

n = 888

the number chosen was 888

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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
Kobotan [32]

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

8 0
3 years ago
A tree 12m high is broken by the wind in such a way that its top touches the ground and makes an angle 60° with the ground. at w
Katena32 [7]

The height of broken part of tree from ground is 5.569m.

Justification:

Let BD is a tree of height 12 m.

<u>Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A</u>.

i.e., CD = AC = h m

<u>Broken part makes 60° angle from ground</u>

So, ∠BAC = 60°

<u>Now, height of remaining part of tree</u> = (12 – h)m.

In right angled ∆ABC,

sin 60° = BC/AC

⇒ √3/2 = (12 - h)/h

⇒ √3h = 2(12 – h)

⇒ √3h = 24 – 2h

⇒ √3h + 2h = 24

⇒ h(√3 + 2) = 24

⇒ h(1.732 + 2) = 24

⇒ h(3.732) = 24

⇒ h = 24/3.732 = 6.4308 m

<u>Hence, height of broken tree from ground</u>

⇒ BC = 12 – h

⇒ 12 – 6.4308 = 5.569m

<u>Hence, tree is broken 5.569 m from ground</u>.

<u>Note</u>: See attached picture.

4 0
3 years ago
Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?
Natalija [7]

Answer:

she added 11 plus 10 wrong

Step-by-step explanation:

11 plus 10 = 21

6 0
4 years ago
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Answer:

44

Step-by-step explanation:

80% of 55=44

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Answer:

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Step-by-step explanation:

4 0
3 years ago
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