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3 years ago

Do u know what 42 ÷____= 0.042 is I need help

Mathematics

1 answer:

Bingel [31]3 years ago

3 0

Answer:

1000

Step-by-step explanation:

Doing this on a calculator yields 1000.

Alternatively, do part or all of the problem in your head:

Rewrite 42 ÷____= 0.042 as

------------

0.042

and move the decimal points 3 place to the right:

42 becomes 42000, and 0.042 becomes 42. Thus, we have:

42000

------------ = 1000

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Answer:

40 cm.

Step-by-step explanation:

Given,

height of the object = 10 cm

Distance of the object from the X-ray= 50 cm

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Height of the image, h = ?

Now,

$\tan \theta = \frac{P}{B}$

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Find the values of x and y

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You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

-------------------------------------------------------------------------------------------------

Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

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Answer:

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Step-by-step explanation:

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