Find the volume, in cubic centimeters, of the rectangular prism pictured below.
3 cm
| 21 cm
2 cm
(Your answer must be entered as a mixed number with a simplified fraction)
HURRY

The length of the side labeled x is Option B.  [tex]\sqrt{21}[/tex].

Pythagorean theorem is a basic principle to be applied when determining the unknown side of a given right triangle when the values of two sides are given. The theorem states that;

/Hyp/^2 = /Adj/^2 + /Opp/^2

From the triangle given, we have;

/Hyp/^2 = /Adj/^2 + /Opp/^2

x^2 = 4^2 + ((5)^1/2)^2

      = 16 + 5

      = 21

x = 21^1/2

  = [tex]\sqrt{21}[/tex]

The length of the side labeled x is [tex]\sqrt{21}[/tex]. Option B.

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Answer:

{x | x ≠ -1, 2, 4}

Step-by-step explanation:

Domain: input values (x-values)

Asymptote: a line which the curve gets infinitely close to, but never touches.

Hole: a point on the graph where the function is not defined.

From inspection of the graph:

As vertical asymptotes and holes restrict the domain of a rational function, the domain is  {x | x ≠ -1, 2, 4}

Answer:

50 minutes

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Monday:} \ \dfrac{2}{3} \times \text{Hour}\\\\\bullet \ \text{Wednesday:} \ \dfrac{1}{2} \times \text{Hour}[/tex]

Since Emily only practiced on Monday and Wednesday, the sum of time on both days is the time Emily practiced on the piano for a week.

[tex]\implies \text{Monday + Wednesday = Total time practiced on piano for a week}[/tex]

Substitute the times in the equation

[tex]\implies (\dfrac{2}{3} \times \text{Hour}) + (\dfrac{1}{2} \times \text{Hour}) = \text{Total time practiced on piano for a week}[/tex]

Simplify the equation

[tex]\implies (\dfrac{2}{3} \times 60 \ \text{minutes}) + (\dfrac{1}{2} \times 60 \ \text{minutes}) = \text{Total time practiced on piano for a week}[/tex]

[tex]\implies (20 \ \text{minutes}) + (30 \ \text{minutes}) = \text{Total time practiced on piano for a week}[/tex]

[tex]\implies \boxed{50 \ \text{minutes} = \text{Total time practiced on piano for a week}}[/tex]

Answer:

145°

Step-by-step explanation:

35+(5x+5)° = 180° (opposite angles sum up to 180°)

35+5x+5 = 180

40+5x = 180

5x= 180- 40

5x = 140

x = 28

therefore, the missing angle = (5x+5)°

= (5×28+5)= 140+5= 145°

Hawaii

hope it helps...!!!

hope this helps

The figure below shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 20 to positive 20 in increments of 4 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 16, 4, and 0, 0, and 16, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, 2 labeled as A, one leg is from 0, 0 to negative 8, 0, and the second leg is from negative 8, 0 to negative 8, 2. Another shaded right triangle is formed with the hypotenuse from negative 8, 2 to negative 12, 3 labeled as B, one leg is from negative 8, 2 to negative 12, 2, and the second leg is from negative 12, 2 to negative 12, 3.

Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.

The slope from point O to point A is 4 times the slope of the line from point A to point B.

It is fraction negative 1 over 4 throughout the line.

It is −4 throughout the line

Step-by-step explanation:

not my answer found it on a different page but it should help.

Answer:

C≈263.89 cm

Step-by-step explanation:

Let's start the sum as follows:

x³ = 8

X × X × X = 8

This means there are 3 number which after Multiplication gives answer 8.

If 2 is multtiplied 3 times it will give you 8

Thus the answer of x is 2

x = 2.

x^3 = -8

The cube root of 8 is 2 = 2 x 2 x 2 is 8.

But, the answer is negative, which means that the cube root of -8 must be -2.

-2 x -2 x -2 = -8

x = -2

Hope this helps!

Answer:

Step-by-step explanation:

I have no idea

Answer:

3(x+3)^2=12

Step-by-step explanation:

3x^2-18x+15

(3x^2+18x)+15

3(x^2+6x)+15

3(x^2+6x+9)+15-27

3(x+3)^2-12

3(x+3)^2=12

Hope this helps!

Please mark as brainliest! Thanks!

Answer:

there are 20 students in mr.clarks fourth grade class there are 5 times as as many students in the entire fourth grade class as there are in mr.clacks. which equation can be used to determine the number of students,n, in the entire fourth grade?

n= 20(5)

100 kids in the fourth grade

or

there are 140 kids in the 4 th grade

Step-by-step explanation:

the equation is n=20(5)

because 20(5) is the same as 20×5 so that 8s the equation

Answer:

B) 2/9

Step-by-step explanation:

2 + 3 + 5 = 10 marbles altogether

One blue is taken out, so it's now 2 and 9 (10-1).

Answer:

Attach the graph options so i can help...

Step-by-step explanation:

Answer:

48 (rounded to 10).....

The product of the expression [tex]\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\[/tex] is [tex]\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex].

In mathematics, the term 'product' refers to the answer to a multiplication problem.

The product of the given expression is determined in the following steps given below.

[tex]\rm =\dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\=\dfrac{2y}{y-3}\times \dfrac{2y+6}{4y-12}\\\\= \dfrac{2y \times 2y + 2y \times 6}{y(4y-12)-3(4y-12)}\\\\=\dfrac{4y^2+12y}{4y^2-12y-12y+36}\\\\=\dfrac{4y^2+12y}{4y^2-24y+36}\\\\=\dfrac{4(y^2+3y)}{4(y^2-6y+9)}\\\\ =\dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex]

Hence, the product of the expression [tex]\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\[/tex] is [tex]\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex].

To know more about the product click the link given below.

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Answer:

3

Step-by-step explanation:

D on edge 2022

Answer:

Final answer -

[tex]length = 6 \: cm \\ breadth = 6 + 2 = 8 \: cm[/tex]

hope helpful :D

Answer:

The student would need to save $9.17 more per month

Step-by-step explanation:

350 = 12(x+20)

350 = 12x + 240

12x = 110

x = 110/12

x = $9.17

Lamont should sample only registered voters to predict who will be elected mayor

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics

Since Lamont is trying to predict who will be elected, surveying people that are not registered to vote will not give him an accurate prediction.  If someone is not registered to vote, they cannot vote for any candidate.

To get more accurate results, Lamont should only sample people that are registered voters.

To know more about the survey follow

https://brainly.com/question/25257437

Answer:

b

Step-by-step explanation:

edge test

Answer:

Step-by-step explanation:

In the question we are given ,

And , we have to find the height of cylinder .

We know that ,

[tex]

\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow[/tex]

Our solution starts from here :

[tex] \longmapsto \: \pi \: r {}^{2} h = 225\pi[/tex]

Step 1 : Cancelling π with π :

[tex] \longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}[/tex]

Step 2 : Substituting value of radius which is 5 cm in the formula :

[tex] \longmapsto \: (5) {}^{2} \times h = 225[/tex]

[tex] \longmapsto \: 25h = 225[/tex]

Step 3 : Transposing 25 to right hand side :

[tex] \longmapsto \: h = \frac{225}{25} [/tex]

Step 4 : Cancelling 225 by 25 :

[tex] \longmapsto \: \red{\boxed{h = 9 \: cm}}[/tex]

Answer:

The mode would not increase or decrease.

Step-by-step explanation:

I say this because the mode is the value(s) in the data set that occur most frequently. 30 is the mode before adding 80 because 30 is in the set 3 times, more than the other values. Because 80 would be the only 80 in the set it would not become the mode once added. I hope this explained my reasoning and helped!

Answer:

3 or 4, I am confused

Step-by-step explanation:

I'll assume that f(x) = x2 – 2x + 8 is meant to be f(x) = x^2 – 2x + 8

Find the value of f(x) for x = 2:

f(x) = x^2 – 2x + 8

f(2) = (2)^2 – 2*(2) + 8

f(2) = 4 - 4 + 8

f(2) = 8

=============

From the graph, we can find that g(2) = 11

The differece between g(2) and f(2) is thus:

   11 - 8 = 3

3 is not an option, so I wonder if the question is asking for the difference between the absolute maximum of g(x) and f(2).  If so, the maximum for g(x) is 12, at x = 3.  

This would lead to a difference of 12 - 8, or 4.  This is still not an option, so I'm confused.  Perhaps you can find my error and find the ciorrect answer, or at least one that appears in the options.

Given:

Angle 6 = 25 degrees

To Find:

The value of Angle 7

Solution:

We know that,

the value of Angle 6 is equal to 25 Degrees

Since Angle 6 and Angle 7 together comprise of a Straight Line, this means that they are Supplementary Angles.

Therefore,

Angle 6 + Angle 7 = 180 degrees

This implies that,

25 degrees + Angle 7 = 180 degrees.     (since Angle 6 = 25 Degrees)  

Angle 7 = (180-25) degrees

Thus ,

Angle 7 = 155 degrees

Hence, Angle 7 is  155 degrees (Option 1)

Answer:

3rd Table

Explanation:

Answer:

$820

Step-by-step explanation:

Total = Equipment + Props

T = 369 + 0.55T

0.45T = 369

T = 820

I hope this helps!

Answer:

A, 2/5

Step-by-step explanation:

8 + 10 + 9 + 6 + 7 = 40

9 + 7 = 16

16/40

divide both sides by 8 (common factor)

2/5

The true statement for f(x)=b^x is the function is always decreasing function.

We have given,

f(x)=b^x where 0<b<1

Domain is all possible values of x for which any function is defined

We can select any values of x for which function

It will be defined for all real x

So, the domain is [tex](-\infty,\infty)[/tex]

The range is all possible values of y for which x is defined

we are given that b is positive

The value of the function will always be positive

So, the range is  [tex](0,\infty)[/tex]

y>0

The x-intercept:

Set f(x)=0 and then we can solve for x

f(x)=b^x=0

x is undefined

The x-intercept does not exist

Increasing or decreasing:

Since, 0<b<1

The b is a positive value less than 1

As we increase the value of, [tex]b^x[/tex] will keep decreasing

This is decreasing function

To learn more about the function visit:

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Answer:

45

Step-by-step explanation:

Slant height = √(altitude)² - (1/2 base)²

Apologies as my previous response was incorrect.

Answer:

A. 16 seconds.

Step-by-step explanation:

Well, it would take him 4 seconds to get 4/16 of the way, or 1/4. So just multply that by 4 and boom, 16 seconds. (yes ik my technique is weird)

[tex]y = - x - 1[/tex]

[tex]y = - 5x - 13[/tex]

[tex]y = - x - 1[/tex]

[tex] - y = 5x + 13[/tex]

[tex]0 = 4x + 12[/tex]

[tex]4x = - 12[/tex]

[tex]x = \frac{ - 12}{4} = - 3[/tex]

[tex]y = - x - 1[/tex]

[tex]y = - ( - 3) - 1[/tex]

[tex]y = 3 - 1 = 2[/tex]