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n200080 [17]
3 years ago
13

A rectangular prism has a length of 11 centimeters, a width of 9 centimeters, and a height of 3 centimeters. What is the cubic c

entimeters equal?
Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0
11 x 9 x 3 = 297
so the volume is 297cm³
egoroff_w [7]3 years ago
5 0

Answer: 297 cubic centimeters

Step-by-step explanation:

Given:  The length of the  rectangular prism = 11 centimeters

The width of the  rectangular prism= 9 centimeters

The height of  rectangular prism = 3 centimeters

We know that the volume of rectangular prism is given by :-

\text{Volume}=length*width*height\\\\\Rightarraow\ \text{Volume}=11\times9\times3\\\\\Rightarraow\ \text{Volume}=297\text{ cubic centimeters}

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How much will each person get if 4 people share 1/2 pound of grapes equally
dsp73
Divide amount of grapes by number of people.

= 1/2 lb ÷ 4 people

to divide a fraction, multiply by the reciprocal (inverse)

= 1/2 * 1/4
= (1*1)/(2*4)
= 1/8 pound

ANSWER: Each of the 4 people will get 1/8 pound of grapes.

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
A certain manufactured item is visually inspected by two different inspectors. When a defective item comes through the line, the
andreev551 [17]

The fraction of a defective item getting by both inspectors is \frac{5}{100} = \frac{1}{20}

Step-by-step explanation:

Step 1; Assume that the probability of the first inspector missing a defective part is P(A) and the probability of the second inspector missing those that do get past the first inspector is P(B).

Step 2; It is given that P(A) = 0.1, we convert this into a fraction so that the final probability will be a fraction and not a decimal.

P(A) = 0.1 = \frac{1}{10}.

It is given that the second inspector misses 5 out of 10 that get past the first inspector, so P(B) = \frac{5}{10}.

Step 3; To calculate the probability of both inspectors missing a defective part, we multiply both the probabilities.

P(A and B happening) = P(A) × P(B) = \frac{1}{10} × \frac{5}{10} = \frac{5}{100} = \frac{1}{20} = 0.05%. So there is a 0.05% chance of both inspectors missing a defective part.

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20-%20%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%20%20%5Csqrt%7B%20%7B6%7D
strojnjashka [21]

Answer:

x = 0

Step-by-step explanation:

{2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\  \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\  \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\  \\ {2}^{x} -  \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\  \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\  \\  {( {2}^{x} )}^{2}  =  {(\sqrt{ {6}^{x} })}^{2}  \\  \\  {2}^{2x}  =  {6}^{x}  \\  \\   {2}^{2x}  =  {(2 \times 3)}^{x}  \\  \\   {2}^{2x}  =  {2 ^{x}  \times 3}^{x}  \\  \\  \frac{ {2}^{2x}  }{ {2}^{x}  } =  3^{x}  \\  \\   {2}^{2x - x}  =  {3}^{x}  \\  \\  {2}^{x}  =  {3}^{x}  \\  \\   \frac{ {2}^{x} }{ {3}^{x} }  = 1 \\  \\  \bigg(  \frac{2}{3} \bigg)^{x}  = 1 \\  \\  \implies \: x = 0 \\  \\  \because \: for \: x = 0 \\  \\ \bigg(  \frac{2}{3} \bigg)^{0}  = 1

5 0
3 years ago
Which of the following have both 2 and -5 as solutions.
Stella [2.4K]
x_1=2;\ x_2=-5\\\\(x-2)(x-(-5))=(x-2)(x+5)=x^2+5x-2x-10=x^2+3x-10\\\\Answer:a.
3 0
3 years ago
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A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio
Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

brainly.com/question/16450098

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3 0
2 years ago
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