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3 years ago

What is the volume of a rectangular prism? 9 in by 3 in by 2 in

Mathematics

2 answers:

telo118 [61]3 years ago

6 0

Answer:

Step-by-step explanation:

9x3=27

27 x 2 = 54

sladkih [1.3K]3 years ago

4 0

Answer: 54 in cubed

Step-by-step explanation: Length x Width x Height

You might be interested in

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

Evaluating expressions for the value of x 4.5x-12 x=2

Svetradugi [14.3K]

X = 2

4.5(2) -12

9 -12

= -3

Answer is -3

4 0

3 years ago

I NEED HELP ASAP

SVEN [57.7K]

Alright, lets get started.

If the polygon measures 45 degree exterior angle and we are asked to find number of sides, there is a formula for that.

$\frac{360}{n}$ = value of exterior angle

Where n is number of sides of ploygon

$\frac{360}{n} = 45$

Multiplying n into both sides

$\frac{360}{n} * n = 45 n$

$360 = 45 n$

Now divide 45 in both sides

$\frac{360}{45} = \frac{45n}{n} = n = 8$

n = 8

Means number of sides of polygon is 8, hence its Octagon. Answer

Now we have given 45 exterior angle hence interior angle would be

180 - 45 = 135°

So, sum of all interior angles would be = number of sides * interior angle

sum of all interior angles would be = $8 * 135 = 1080$

Hence sum of all interior angles would be 1080°. Answer

Hope it will help :)

7 0

3 years ago

What is 30% as a fraction

krok68 [10]

= 30%

= 0.3

= 3/10

Hope this helps.

4 0

3 years ago

Read 2 more answers

Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax an

Fofino [41]

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

4 0

2 years ago