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3 years ago

What is the volume of this rectangular prism?

Mathematics

1 answer:

salantis [7]3 years ago

8 0

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

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one side of the right triangle is 12cm the long side of the triangle is 39 cm how long is the base of the triangle

VLD [36.1K]

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3 years ago

HELP <3 Match the expressions with their solutions.

densk [106]

Answer:

1 ) sin 165°

2 ) cos 330°

3 ) Tan 157.5°

4 ) $sin^2 157.5$

Step-by-step explanation:

1 )

Given expression is $\sqrt{\frac{1-cos330}{2} }$

We know that $cos2x=1-2sinx^{2}$

$sinx^{2}=\frac{1-cos2x}{2}$

$(sinx/2)^2=\frac{1-cosx}{2}$

So the first expression is sin (330/2)° =sin 165°

2 )

GIven expression is $1-2sin^2165$

We know that $cos2x=1-2sinx^{2}$

So the result is cos 330°

3 )

Given expression is $\frac{1-cos 315}{sin315}$

We know that $cos2x=1-2sinx^{2}$

Also we know that sin2x = 2sinxcosx

So The numerator becomes $2sin^2x/2$ . and the denominator becomes as $2sinx/2cosx/2$

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So the result is Tan 157.5°

4 )

Given expression is $\frac{1-cos 315}{2}$

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6 0

3 years ago

Triangle XYZ and EFG are given. ΔXYZ≅ΔEFG by SAS. If m∠EFG = 5p-2, YZ=2n-5 and GF=n+5 then which of the following statements are

VMariaS [17]

Answer:

A. ZY=15

Step-by-step explanation:

Insufficient information is given about angles to make any statement about the value of p or the measures of any angles. (Eliminates B,C,D,E)

Side YZ corresponds to side FG. Since they are congruent, their measures are the same. This means ...

2n -5 = n +5

n = 10 . . . . . . . . add 5-n

YZ = ZY = 2·10 -5 = 15 . . . . . . matches choice A

4 0

3 years ago