Explain the relationship between the shape of the base of a prism and the number of lateral faces. Use examples to justify your answer.

Answers

Answer 1

Answer:

This is the exact answer

Sample response: A triangular prism has a 3-sided base and 3 lateral faces. A rectangular prism has a 4-sided base and 4 lateral faces. The number of sides of the base of a prism is equal to the number of lateral faces of the prism.

Step-by-step explanation:

Answer 2

Answer:

A triangular prism has a 3-sided base and 3 lateral faces. A rectangular prism has a 4-sided base and 4 lateral faces. The number of sides of the base of a prism is equal to the number of lateral faces of the prism.

Step-by-step explanation:

creds to the other person


Related Questions

The linear equation x = -2 will be parallel to the x-axis.

True
False

Answers

Answer:

False

Step-by-step explanation:

The equation x = c represents the equation of a vertical line parallel to the y- axis.

The equation y = c represents the equation of a horizontal line parallel to the x- axis

In both cases c is a constant

Hence x = - 2 is not parallel to the x- axis

Need help please?):!!

Answers

It’s located in Quadrant III

need help fast!!!!!!!!!!!!!!!

Answers

k(3)=13(3)-2

k(3)= 39-2

Answer is k(3)= 37

ANSWER

[tex]k(3) = 37[/tex]

EXPLANATION

The given expression is

[tex]k(t) = 13t - 2[/tex]

We want to find k(3).

We substitute t=3 into the expression to get:

[tex]k(3) = 13(3) - 2[/tex]

We multiply out to get,

[tex]k(3) = 39- 2[/tex]

Simplify to get,

[tex]k(3) = 37[/tex]

Solve for x in the triangle
A 25.6
B 27.8
C 45.6
D 64.4

Answers

Answer:

The measure of angle x is [tex]64.4\°[/tex]

Step-by-step explanation:

To find the measure of angle X, apply the law of cosines

The law of cosines states that

[tex]c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)[/tex]

In  this problem we have

[tex]a=19\ cm[/tex]

[tex]b=25\ cm[/tex]

[tex]c=24\ cm[/tex]

[tex]C=x\°[/tex]

substitute

[tex]24^{2}=19^{2}+25^{2}-2(19)(25)cos(C)[/tex]

[tex]576=986-950cos(C)[/tex]

[tex]cos(C)=(986-576)/950[/tex]

[tex]C=arccos[(986-576)/950]=64.4\°[/tex]

Therefore

The measure of angle x is [tex]64.4\°[/tex]

A set of data with a mean 56 and a standard deviation 3.3 is normally distributed. find 2 standard deviations from the mean

Answers

Answer:

To the right we have 62.6 while to the left we have 49.4

Step-by-step explanation:

A normal distribution is usually symmetric with respect to the mean. The mean of the distribution is also the mode as well as the median.

The general formula for points that lie n standard deviations away from the mean on either sides of the mean is given by the formula;

mean ± n(σ)

where σ is the standard deviation of the distribution;

Two standards deviations from the mean imply that n = 2;

56 ± 2(3.3)

56 ± 6.6

To the right we have 62.6 while to the left we have 49.4

Please help. I am a little torn with this one

Answers

Answer:

A.

Rotational symmetry is when things look the same rotated.

Answer:

A

Step-by-step explanation:

It has buttons which are on the top but not on the other faces

Find (f*f)(3)

f(x)=x^2-x

A. 30
B. 6
C. 33
D. -6

Answers

Answer:

A. 30

Step-by-step explanation:

[tex](f\circ f)(x)=f\bigg(f(x)\bigg)\\\\f\bigg(f(3)\bigg)\\\\\text{Calculate}\ f(3):\\\\f(3)=3^2-3=9-3=6\\\\f\bigg(f(3)\bigg)=f(6)=6^2-6=36-6=30[/tex]

select the best definition for congruent (A same size) (B same shape but not necessarily the same size) (C same size not necessarily same shape) (D same size and same shape)​

Answers

Answer:

(D same size and same shape)​

Step-by-step explanation:

Congruent means the same size and shape.

Similar means the same shape, but not necessarily the same size

Answer:

The answer is : (D same size and same shape)​

Step-by-step explanation:

Two shapes or figures are called congruent, when they are identical. When the angles are equal in degrees, they are called congruent angles and when sides are congruent, this means they have the same length.Two polygons are congruent if they have the same size and shape or if their corresponding sides and angles are equal.

Therefore, option D is correct.

Find an equation, in slope-intercept form, that passes through point (-5, 6) with slope -2.
Select one:
a. y = -2x + 3
b. y = -2x - 4
c. y = 2x - 4
d. y = 2x + 3

Answers

Answer:

The desired equation is y = -2x - 4

Step-by-step explanation:

The general slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Starting from that, substitute the given values for m, x and y and calculate b:

6 = -2(-5) + b.  Then 6 = 10 + b, and b = -4.

The desired equation is y = -2x - 4.

Write a polynomial function in standard form with zeros at 0,1 and 2.
PLEASE HELP!!!

A. F(x)=x(x+1)(x+2)
B. F(x)=x(x-1)(x-2)
C. F(x)=x^3+3x^2+2x
D. F(x)=X^3-3x^2+2x

Answers

The answer is B, if you substitute x with 0 1 or 2 the result will always be 0

ANSWER

[tex]f(x) ={x}^{3} - 3 {x}^{2} + 2x[/tex]

EXPLANATION

If the polynomial function has zeros at 0,1 and 2

Then the polynomial can be written in factored form as:

F(x)=x(x-1)(x-2)

We expand to get,

[tex]f(x) =x({x}^{2} - 3x + 2)[/tex]

Expand further to obtain:

[tex]f(x) ={x}^{3} - 3 {x}^{2} + 2x[/tex]

The polynomial in descending powers of x is said to be in standard form .

The last choice is correct.

Determine the intercepts of the line that correspond to the following table of values.

Answers

Answer:

Part 1) The x-intercept is the point (-5,0)

Par 2) The y-intercept is the point (0,-17.5)

Step-by-step explanation:

step 1

Find the x-intercept

we know that

The x-intercept is the value of x when the value of y is equal to zero

Observing the table

For x=-5, y=0

therefore

The x-intercept is the point (-5,0)

step 2

Find the equation of the line

Find the slope m

we have

(-7,7) and (-5,0)

[tex]m=(0-7)/(-5+7)\\ m=-3.5[/tex]

Find the equation of the line into point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-3.5[/tex]

point (-5,0)

substitute

[tex]y-0=-3.5(x+5)[/tex]

[tex]y=-3.5(x+5)[/tex]

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

[tex]y=-3.5(0+5)[/tex]

[tex]y=-17.5[/tex]

therefore

The y-intercept is the point (0,-17.5)

Use a net to find the surface area of the prism please help

Answers

Finding rectangle surface areas(RSA) are: 2(14×7)+2(14×5)=336

R.S.A+side surface areas: 336+2(7×5)=406

Ans:406

Final answer:

To find the surface area of a prism using a net, you simply calculate the area of each individual shape in the net and then add those areas together. The sum of these areas is the prism's surface area.

Explanation:

To find the surface area of the prism using a net, you need to first understand what a net of a prism is. A net of a prism is essentially a 'flat' version of the shape. It's what you would get if you cut along the edges of the prism and flattened it out.

For a rectangular prism, for instance, the net would consist of 2 rectangles (the bases) and 3 or 4 rectangles (the sides), depending on whether the prism is a right prism or an oblique prism.

To find the surface area, calculate the area of each individual shape in the net and then add all those areas together. The sum of these areas is the surface area of the prism.

As an example, suppose we have a rectangular prism with length 4 cm, width 3 cm, and height 2 cm. The areas of the two bases are each 4*3=12 square cm. The areas of the four sides are two of 4*2=8 square cm and two of 3*2=6 square cm. So the total surface area is 2*12+2*8+2*6=48 square cm.

Learn more about Surface Area here:

https://brainly.com/question/35439753

#SPJ2

find the correct trigonometry formula to solve for X.

Answers

Answer:

The correct answer is  last option

Cos(55) = 11/x

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = opposite side/Adjacent side

From the figure we can see a right angled triangle, with one angle is 55 degree, one side is 11 and hypotenuse is x

To find the correct trigonometric formula

Here we have adjacent side of angle 55

Cos 55 = Adjacent side/Hypotenuse

Cos 55 = 11/x

Therefore the correct answer is last option

A grocery, a cafe, a boutique, and a dance studio have the addresses 500 Elm, 524 Elm, 538 Elm, and 544 Elm, but not necessarily in that order. The boutique is between the cafe and the studio. The studio has the highest address. The grocery is between the cafe and boutique.

Answers

Answer:

500 Elm: Cafe

524 Elm: Grocery

538 Elm: Boutique

544 Elm: Dance studio

Step-by-step explanation:

We know that the dance studio has the highest address, so 544.

For the others let's examine the possibilities.

The boutique is between the cafe and the studio, that means the following are possible:

Boutique can be at either 524 or 538, cannot be at 500 (since cafe has to be on the its left.

Cafe can be 500 or 524, cannot be 538 since boutique has to be between cafe and studio.

The grocery is between the cafe and boutique. Meaning the grocery cannot be 500 nor 538, since it has to be in the middle of the 3 remaining businesses.  So, grocery is at 524.

Meaning the Cage is at 500 and the boutique is at 538.

Answer:

B

Step-by-step explanation:

On edge

Item Prompt
Segment MP is a diameter of circle O.
150°
What is the measure of arc MN?
B
I
U
S
x, x
=:
.

Answers

Answer:

30°

Step-by-step explanation:

Segment MP is the diameter of the circle, hence angle MOP has the measure of 180°.

Angles MON and NOP are supplementary angles (add up to 180°). Thus,

m∠MON+m∠NOP=180°

m∠MON=180°-m∠NOP

m∠MON=180°-150°=30°.

Angle MON is the central angle subtended on the arc MN. Thus, the measure of the arc MN is 30°.

Answer:

Arc MN is 30°

Step-by-step explanation:

It's important to know that the whole arc of a circle is 360°.

So, if MP is a diameter, that means it divides the circle in two equal parts of 180° each.

Now, one half of this arc is formed by MN and 150°, so we can formulate the expression

[tex]MN+150\° = 180\° \\MN= 30\°[/tex]

Therefore, the arc MN is 30°.

Which of the following numbers have an absolute value of 5? Select all that apply.

-5
5
0
1/5
-1/5

Answers

Answer: -5, and 5

Step-by-step explanation: an absolute value can only be positive. So -5 and 5 are the only answers that will give you 5.

Answer:

B and D.

Step-by-step explanation:

–15

–5

0

5

15

Absolute Value  Assignment

Finding Absolute Value

Find the distance between the points given. (2, 2) and (5, 5) 3

Answers

For this case we have that by definition, the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}\\(x_ {1}, y_ {1}) :( 2,2)\\(x_ {2}, y_ {2}) :( 5,5)[/tex]

Substituting the points:

[tex]d = \sqrt {(5-2) ^ 2 + (5-2) ^ 2}\\d = \sqrt {(3) ^ 2 + (3) ^ 2}\\d = \sqrt {9 + 9}\\d = \sqrt {18}\\d = 3 \sqrt {2}[/tex]

ANswer:

[tex]d = 3 \sqrt {2}[/tex]

What is 7.04 trillion in scientific notation​

Answers

Answer:

7.04 trillion = 7.04 x 10¹²

Step-by-step explanation:

Answer: 7.04 x 10^12

Step-by-step explanation:

Just took the test :)

If m=3 = what is the value of 3m?​

Answers

Answer: 9

Step-by-step explanation:

M=3 and the equation is 3m so your going to multiply. So the equation would be 3*3 and 3*3=9 so that's your answer

The playlist consists of 21 songs by The Working Mamas, 12 songs
by Chef Mo Cheese, 36 songs by The Snippers, 54 by Lucy and
The Jungle Cats, and 27 by Nuestra Paradise.
What's the probability of Chef Mo Cheese playing?
Write the answer as a percent.
artist.

Answers

Answer:

8%

Step-by-step explanation:

in 18 days, 20 workers can build a school. How many days would it take if there were only 12 workers?​

Answers

To build a school;

20 workers -> 18 days.

So 1 worker -> 18/20 days.

So; 12 workers -> (12×18)/20 days.

-> (12×9)/10 days

->10.8 days.

so 10.8 days is your answer.

Hope it helps...

Regards;

Leukonov/Olegion

☯ Appropriate Question -:

If 20 workers can build a school in 18 days, how many days will it take 12 workers to build the same school?

☯ Explanation -:

In this question we are provided that 20 workers can build a school in 18 days. We are asked to calculate how many days will 12 workers will take to do the same work.

We can solve this question using two methods :

Unitary MethodMethod of proportion

[tex] \small\bf{ Unitary \: Method}[/tex]

20 workers can build a school in 18 days

1 worker can build a school in 20 × 18 days

12 workers can build a school in [tex]\dfrac{20 × 18 }{12}[/tex] = 30 days.

Hence the required number of days is 30.

[tex] {{\rule{40mm}{4pt}}}[/tex]

[tex] \small\bf{ Method \: of \: proportion }[/tex]

Let us assume that 12 workers can finish the work in x days.

[tex]\begin{array}{c|c} \bf{Number \: of \: workers }& \bf{Number \: of \: days}\\ 20 & 18 \\ 12 & x\end{array}[/tex]

Ratio of workers = Inverse ratio of days

[tex] \small\sf{ 20 : 12 :: x : 18}[/tex]

Product of mean = Product of extreme

[tex] \small\rm{ 12 \times x = 20 \times 18}[/tex]

[tex] \small \rm{ \dfrac{20 \times 18}{12} = 30 \: days}[/tex]

Hence the required number of days is 30.

[tex] \rule{72mm}{5pt}[/tex]

What is the value of x?

Please answer ASAP

Answers

Answer:

x = 5

Step-by-step explanation:

You have a right triangle, so you can use the Pythagorean Theorem.

a^2 + b^2 = c^2

x^2 + 12^2 = 13^2

x^2 + 144 = 169

x^2 = 25

x = 5

Answer: x = 5

Answer:

just do 13 time 12

Step-by-step explanation:

Joyce wants to buy a house for 129,500 with a 20% down payment. How much will her down payment be?

Answers

Answer: 29,500.

Step-by-step explanation: percentagecalculator.com

What is the equation of the line?

Answers

y=0 because no matter what x value you have, y will always be 0

Y=0 because the y-axis of the line is 0

This seems complicated please help me !!!!!!!

Answers

Answer:

The second answer is correct.

Step-by-step explanation:

the concession stand sells hot dogs for $3 and burger for $4. at last weeks football game, the stand sold 10 more hot dogs than burgers and made $184. write a system of equation to represent the situation​

Answers

The system of equations to represent the concession stand sales situation is 3H + 4B = 184 for the total sales, and H = B + 10 for the quantity relationship, where H is the number of hot dogs sold, and B is the number of burgers sold.

To represent this situation with a system of equations, let's denote the number of hot dogs sold as H and the number of burgers sold as B. According to the problem, hot dogs are sold at $3 each and burgers at $4 each, and the stand made $184 in total. Also, we are told that 10 more hot dogs than burgers were sold at the game.

We can create two equations to represent this scenario:

The total sales equation: 3H + 4B = 184The quantity relationship equation: H = B + 10

These two equations form the system that can be solved to find the number of hot dogs and burgers sold.

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
(5 +1)3

Answers

Distributive property means that you must multiply the number directly outside the parentheses to all the numbers inside the parentheses

Look at the image below for the work!

Hope this helped!

Using the Distributive Property to expand and evaluate an expression.

Given expression: (5 + 1)3

Step 1: Apply the Distributive Property to expand the expression:  (5 + 1)3 = 5 x 3 + 1 x 3

Step 2: Evaluate the expression: (5 + 1)3 = 15 + 3 = 18

The table below shows the function f.


Determine the average rate of change of the given function.
A.

B.

C.

D.

Answers

Answer:

the average rate of change is -1/6 per unit increase in x

Step-by-step explanation:

Looking at the table, we see that for each unit change in x, y decreases by 1/6.  Thus, the average rate of change is -1/6 per unit increase in x.

Answer with explanation:

Average rate of Change

             [tex]=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}\\\\=\frac{\frac{25}{3}-\frac{17}{2}}{4-3}\\\\=\frac{50-51}{6*1}\\\\=\frac{-1}{6}[/tex]

You can find average rate of change by taking any two distinct points on the curve.

Option B      

Will you help me?
A square banner had 4 feet added its width and 2 feet subtracted from its height. The banner then had an area of 91 square feet. How long was a side of the original square banner?

Answers

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

[tex]91=(x+4)(x-2)[/tex]

Solve for x

[tex]91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0[/tex]

Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

Final answer:

To determine the length of the original square banner, we can set up an equation using the given information and solve for the side length.

Explanation:

To solve this problem, let's first represent the length of the original square banner as x. According to the question, 4 feet is added to the width, so the width becomes x + 4. Also, 2 feet is subtracted from the height, so the height becomes x - 2. The area of a square is calculated by multiplying the side lengths, so we have (x + 4)(x - 2) = 91.

Expanding the equation, we get x² + 2x - 8 = 91. Rearranging the equation, we have x² + 2x - 99 = 0. This is a quadratic equation that can be solved by factoring, completing the square, or using the quadratic formula.

By factoring, we find (x + 11)(x - 9) = 0. So, x = -11 or x = 9. Since we cannot have a negative length for a banner side, we discard x = -11. Therefore, the length of the side of the original square banner is 9 feet.

Learn more about the Length of the original square banner here:

https://brainly.com/question/14510781

#SPJ3

3/12 = _/4
Fill in the blank to make the fractions equivalent.

Answers

Answer:

1/4

Step-by-step explanation:

because if you use the process of breaking down the numbers they will end up going down to simplest form.

Answer:

3/12 = 1/4

Step-by-step explanation:

If we know 12 is equal to a fraction with the denominator of 4, we can divide 12 by 4 and get 3. This means we must also divide the numerator by 3 to get 3/3 = 1. Another way to solve this is to cross multiply. If 3/12 = _/4, we multiply the numerator of the first fraction by the denominator of the second fraction. Then, we get 12. Divide the 12 by the denominator of the first fraction to get 12/12. This will give you an answer of 1 as well.

Other Questions
A rectangle has a length of (6x+1) units and a width of (3x+1 units. Express the area of the rectangle as trinomial. Please I really need help and my tutor didnt help. Please explain the work u did Ken can walk 40 dogs in 8 hours how many dogs can ken walk in 12 hours The small currents in axons corresponding to nerve impulses produce measurable magnetic fields. A typical axon carries a peak current of 0.040 ?A.What is the strength of the field at a distance of 1.6 mm ? This is a photograph of the Sandal reliquary of Saint Andrew. Explain what a reliquary is as well as its importance to the Catholic Church? Given that point X is the incenter of ABCD, what can you conclude about line segments XY, XA, and yz?A.they are all congruentB.only XY and XA are congruentC.only XA an XZ are congruentD.None of them are congruent Write the decimals from the least to the greatest on the ladders. Start at the bottom.8.357, 8.35, 8.361, 8.3612.310, 12.301, 12.013, 12.13029.Frank Crhoffor Dichlinntinne Inn Which prefix would appear in the IUPAC name for a covalent compound that has four atoms of a single element?tri-di-tetra-mono- The ducal court was not noted for the strictness of its morals; the Duke was a man of gallantry, and it was rumoured that the Duchess followed her husband's example. What is implied in this sentence, without being directly stated? What is the volume of this solid?A. 1104B. 132C. 96D. 276 Solve the proportion r/72= 3/9 A 10-cm-diameter parallel-plate capacitor has a 1.0 mm spacing. the electric field between the plates is increasing at the rate 1.0 * 106 v/m s. what is the magnetic field strength (a) on the axis, (b) 3.0 cm from the axis, and (c) 7.0 cm from the axis? The equation for the position of an object at time t is represented by the equation f(t)=4t^2-2t. Which equation represents the instantaneous velocity at any given time, t? A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 hours away. Model Susie's situation with a system of inequalities A limestone rock is found in an Arizona desert. The limestone is gray and has a fish fossil. What can scientists learn from the limestone? A)There was once a lake in the area. B)Some fish lived on land many years ago. C)Many years ago there were dinosaurs in the area. D)There were many trees and plants in the area at one time Compare and contrast Merlin and the Dragons with Sir Gawain and the Loathly Lady. What is the theme of Sir Gawain and the Loathly Lady? Is the theme similar to or different from the theme of Merlin and the Dragons? Explain. Your response must include at least five sentences. If you answer this correctly and not a stupid answer I will give you directions on how to get more points from me. I will give you AT LEAST 20 points for this question plus I will mark you brainliest, say thanks and give you a 5 star rating. The table below compares the economies of two countries. Country ACountry BPrimary exports are steel, electronics, lumber, and food productsPrimary exports are natural gas and wheatWhich statement is accurate based on the information in the table? Country A's economy is more diversified than country B's economy Country B's economy is more diversified than country A's economy The economies of both countries are equal in level of diversification The economies of both countries can be described as single resource write in y = mx + b form (1) -x-5y = 21. (2) -2x - 5y = 25 What is the author's purpose for including this portion of "How to Eat an Ice Cream Cone"? Why was Florence the artistic center of renaissance? Please help me out please Steam Workshop Downloader