In the expression 18 is 20% of 90, 18 is the

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

The answer to your question is 18, how 20\100x90=18

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Prove that sin20 sin40 sin60 sin80=3/16

xeze [42]

Sin 20° · sin 40° · sin 80° = 1/2 ( cos 20° - cos 60° ) · sin 80° =
= 1/2 ( cos 20° sin 80° - cos 60° sin 80° ) =
= 1/2 ( (sin 100° + sin 60°)/2 - 1/2 sin 80° )= ( sin 100° = sin 80° )
= 1/2 · ( 1/2 sin 60° ) = 1/4 sin 60° = √3 / 8
sin 60° = √ 3/2
√ 3 / 2 · √ 3 / 8 = 3/16 ( correct )

3 0

3 years ago

Which statement describes a process to solve sqrt b+20 - sqrt b=5?

babunello [35]

Answer:

Step-by-step explanation:

The equation is:

√b+20 - √b = 5

The first step is we will add √b to both sides:

√b+20 -√b +√b = 5 +√b

√b+20 = 5+√b

Now take square at both sides:

(√b+20)^2 = (5+√b)^2

b+20 = 25+10√b+b

Now combine the like terms:

b+20-25-b=10√b

-5 = 10√b

Divide both the terms by 10

-5/10 = 10√b/10

-1/2=√b

Take square at both sides:

(-1/2)^2 = (√b)^2

1/4 = b

So in this type of question we add radical terms to both sides and square both sides twice....

7 0

3 years ago

Which best describes the lateral faces of all prisms? parallelograms squares rhombi rectangles?

Murljashka [212]

Any face on a prism that is not a base is a lateral face (see the attached image). The prism in the picture has a hexagonal base (6 sided) and 6 lateral faces. The lateral faces meet each other at lateral edges, as well as meeting both bases. Each lateral face is a polygon with four sides. All edges of the laterals are the same size and parallel. This makes the lateral faces parallelograms, containing a 4-sided figure with opposite sides that are parallel.