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3 years ago

Solve the proportions

Mathematics

2 answers:

Marysya12 [62]3 years ago

7 0

Hey there! I'm happy to help!

NUMBER 1

This is a trick to solve any proportion.

Multiply the diagonal numbers.

5(16)=80

Divide by the number that isn't the one you want to find.

90/8=10

And you are left with the number you haven't touched. We haven't touched x, so x=10.

NUMBER 2

Cross multiply.

45(-50)=-2250

Divide.

-2250/3=-750

So x=-750.

QUESTION 3

4(27)=108

108/12=9

So x+3=9, subtract 3 from both sides x=6.

Have a wonderful day! :D

sasho [114]3 years ago

5 0

Answer:

1.x = 80/8= 10

Step-by-step explanation:

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3 years ago

Read 2 more answers

A plate of glass with parallel faces having a refractive index of 1.57 is resting on the surface of water in a tank. A ray of li

frutty [35]

Answer:

$27.26^{\circ}$

Step-by-step explanation:

We are given that

$n_g=1.57$

$n_w=1.33$

Angle of incidence,i=37.5 degree

We have to find the angle of refraction into the water made by ray wit the normal to the surface.

Refractive index of water, $n_a=1$

By Snell's law

$\frac{n_g}{n_a}=\frac{sin i}{sin r}$

$sin r=\frac{n_a sini}{n_g}=\frac{1\times sin37.5}{1.57}$

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$r=sin^{-1}(0.388)=22.83^{\circ}$

Again for glass water surface

Using Snell's law

Angle of incidence,i'=22.83 degree

$\frac{n_w}{n_g}=\frac{sin i}{sin r}$

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$sin r'=\frac{1.57sin(22.83)}{1.33}=0.458$

$r'=sin^{-1}(0.458)=27.26^{\circ}$

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Answer:

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Answer:

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3 years ago