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defon
3 years ago
9

What is the volume of the box if it is scaled down by a factor of 1/10?

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

8.4in²

Step-by-step explanation:

We are given the dimensions of a box as :

7in = Height

6in = Length

2in = Width

The volume of a box = Length × Width × Height

Volume of a box = 7in × 6in × 2in

= 84in²

We are also told in the question to find the volume of the box if it is scaled down by a factor of 1/10

Hence,the new volume = 84in² × 1/10

= 8.4in²

Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 8.4in²

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Solve the following problems:
lorasvet [3.4K]

Answer:

The measure of side MO is 8 unit

Step-by-step explanation:

Given as :

In the Triangle ΔMOP ,

∠P = 90°

∠M = 60°

The perimeter of  ΔMOP = 12 + 4√3

Now, From figure , in Triangle ΔMOP

∠O = 180° - ( ∠P + ∠M )

or, ∠O = 180° - ( 90° + 60° )

or,  ∠O = 180° - 150°

∴ ∠O = 30°

<u>Now, from Triangle</u>

Sin 90° = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

Or, Sin 90° = \dfrac{\textrm OP}{\textrm OM}

Or,  \dfrac{\textrm OP}{\textrm OM} = 1

Again

Sin 60° = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

Or, Sin 60° = \dfrac{\textrm OP}{\textrm OM}

Or,  \dfrac{\textrm OP}{\textrm OM} = \dfrac{\sqrt{3} }{2}

Similarly

Sin 30° = \dfrac{\textrm base}{\textrm hypotenuse}

Or, Sin 30° = \dfrac{\textrm PM}{\textrm OM}

Or,  \dfrac{\textrm PM}{\textrm OM} = \frac{1}{2}

So, The ratio of the sides as

PM : MO : OP = 1 : 2 : \sqrt{3}

Let  PM = x

MO = 2 x

OP = x\sqrt{3}

Now, from question

The perimeter of triangle ΔMOP = 12 + 4√3

I.e, The sum of sides of triangle ΔMOP = 12 + 4√3

or, PM + MO + OP = 12 + 4√3

or, x + 2 x +  x\sqrt{3} = 12 + 4√3

or, 3 x  +  x\sqrt{3} = 12 + 4√3

Or, x ( 3 +\sqrt{3} ) = 4 ( 3 +\sqrt{3} )

Now, equating both side we get

x = 4

So, The measure of side MO = 2 x

I.e The measure of side MO = 2 × 4 = 8 unit

Hence The measure of side MO is 8 unit   Answer

5 0
3 years ago
What is the probability of getting a head with the flip of a coin?
Nana76 [90]

Answer:

1/2

Step-by-step explanation:

there is two side of a coin, so there is a 1/2 chance that you will head heads.

6 0
3 years ago
Read 2 more answers
If a=3/6 and b=-3/-5 find -3a+4b
Fiesta28 [93]

Answer:

Step-by-step explanation:

-3(3/6) + 4(3/5)

-3(1/2) + 4(3/5)

-3/2 + 12/5

-15/10 + 24/10

9/10

7 0
3 years ago
Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below
guajiro [1.7K]

Answer:

The coordinates of P' are (4.8,-4.8).

Step-by-step explanation:

The rule of dilation D_{o,2.4}(x,y) represent the dilation with scale factor 2.4 and center at origin.

If the scale factor of the dilation is k and the center is (0,0), then

(x,y)\rightarrow (kx,ky)

Since the scale factor is 2.4, therefore

(x,y)\rightarrow (2.4x,2.4y)

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are

P(2,-2)\rightarrow P'(2.4(2),2.4(-2))

P(2,-2)\rightarrow P'(4.8,-4.8)

Therefore the coordinates of P' are (4.8,-4.8).

3 0
3 years ago
Show the tens fact you used. Write the difference.
Mars2501 [29]
What exactly do you mean? Is there answer's to the problem or more to the problem?
7 0
3 years ago
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