1) (2 points) Imagine a 21-gonal prism. How many total faces does this prism have? Provide a clear
and detailed justification for your answer, using appropriate vocabulary, that does not rely on a
formula.

Answers

Answer 1

Answer:  There are 23 faces total.

Explanation:

This is because there are 21 lateral faces, each of which are a rectangle. Then there are the 2 base faces which are each 21-gons. A 21-gon is a 21 sided polygon. So we have 21+2 = 23 faces total.


Related Questions

if the water bill costs 487.75.and the electict bill costs 952.50.how much will be needed to pay for the bill?
1.what is asked?
2.what are given?
3.what operation will be used?
4.what is the number sentence?
5.what is the sulotion and answer?

Answers

1. it is asked to find how much will be needed to pay for the bill

2. 487.75 952.50

3. multiply

4. I don't know

5. 487.75 multiplied by 952.50 equals 464,581.875

write a word problem that can be modeled by the equation x + 5 = 12

Answers

Answer:

x=7

Step-by-step explanation:

x+5=12

 -5  -5

  x=7

It’s x=7 because you have to do 12-5 and that would equal to 7 so 7+5 would equal to 12

A principal of ​$7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded​ semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)

Answers

Answer:

$2,874.19

Step-by-step explanation:

Hope this helps

The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine last? Show your solution

Answers

Answer:

14 days

Step-by-step explanation:

14

The ladder of a fire truck extends 41 ft. to the top of the
building. If the distance between the wall and the base of the
ladder is 9ft. How tall is the building?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem a^2+b^2=c^2 or the sum of the squared sides is equal to the hypotenuse squared.

41^2=9^2+h^2

h^2=41^2-9^2

h^2=1600

h=40 ft

Which graph represents the solution to this inequality? 16x-80x<37+27

Answers

Answer:

The answer for this would be B.

F(x)=(x-7)^2-64
Please help

Answers

Answer:

x-intercepts/ roots= (-1,0), (15,0)

f(0)= -15 (y-intercept)

Axis of symmetry: x = 7

Vertex: (7, -64)

Domain: All real numbers

Range: [-64, infty)

this year a farmer planted 300 acres of corn. this was 1.5 times as many acres as he planted last year. how many acres did he plant this year?​

Answers

x • 1.5 = 300

So...

300/ 1.5 = 200

He planted 200 acres last year

HELP! have this assignment due in 30 mins and i dont know how to do this please help i have a D in this class
1 A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4 cm :
30 ft .What are the dimensions of Martina’s scale model?
A135 cm by 202.5 cm
B72 cm by 108 cm
C54 cm by 81 cm
D18 cm by 27 cm

Answers

Answer:

A

Step-by-step explanation:

there are 135 '4cm' segments in 540 feet;  540 ÷ 4

there are 202.5 '4cm' segments in 810 feet;  810 ÷ 4

I am not understanding this topic in math and I have a huge test tomorrow and I need to sleep, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️

Answers

Answer: (-3,-4)

Step-by-step explanation:

If the any x variable is repeated, it is not a function!

Can anyone help me please

Answers

Answer:

y = 120

Step-by-step explanation:

y = 4x (corresponding angles)

y + 2x = 180

substitute the value of y into the second equation

4x + 2x = 180

6x = 180

x = 30

now that we have the value of x, plug it into either equation and solve for y

y = 4 (30)

y = 120

1/8 and 9/5 common denominator and solve the problem ​

Answers

Answer:

Step-by-step explanation:

You haven't stated a problem. Do you want to add the fractions together? Subtract them?

Least common multiple of 8 and 5 is 40.

1/8 = 5/40

9/5 = 72/40

1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40

On a separate sheet of paper practice drawing a 10ft. Vertical line at three different scales using American system:
1) 1/2” = 1’;

2) 1/2” = 1’;

3)1/8” = 1’;

Draw also 12m. Vertical line at three different scales using the Metric System
4) 1/50 CM;

5) 1/100 CM;

6) 1/200 CM;

A street on a block plan is drawn at a scale of 1”=50’. When the drawing is measured with a ruler, the street is 1/2” wide. How wide is the actual street? Explain

Answer:


A street on a block plan is drawn at a scale of 1”=10’. When the drawing is measured with a ruler, the street is 5” wide. How wide is the actual street? Explain

Answer:


In your own words describe the three types of scale answer here:


En una Homs de paper separada, practique el dibujo de una linea vertical de 10 pies a tres escalate diferentes untilizando Sistema Americano:
1/2 “=1’;
1/2 “=1’;
1/8 “=1’;

Dibuja tamben una linea vertical de 12m. A tres escalas diferentes untilizando el Sistema Metrico:
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;

Una Calle en un plano de bloque se dibuja a una escala de 1 “=50 cuando el dibujo se mide con una regal, la calle tiene 1/2 “de ancho qué anchura real tiene la Calle? Explique


Una Calle en un Plano de bloque se dibuja a una escala de 1 “= 10 cuando el dibujo de mide con una regal, la Calle tiene 5 “ de ancho qué anchura real tiene la Calle? Explique


En sus palabras descibe las tres tipos de escala.


Escribe Aqui:
Help me

Answers

Answer:

Step-by-step explanation:ok

A srtuv
B srvut
C vrust
D rsvut

Answers

Answer:

B. srvut

Step-by-step explanation:

To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.

Hope this helps :)

Help
Help
Help
Help
Help

Answers

Answer:

1.92

Step-by-step explanation:

multipy 8 by .08 to get the sales tax amount

to find the total cost (if you need it) add the sales tax to the original cost

hope it helps

Answer:

1.92

Step-by-step explanation:   niueikieoewdn4u

AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.

Answers

Answer:

x = 54

Step-by-step explanation:

Since both triangles are similar, therefore,

[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]

[tex] \frac{77}{66} = \frac{63}{x} [/tex]

[tex] \frac{7}{6} = \frac{63}{x} [/tex]

Cross multiply

[tex] 7*x = 63*6 [/tex]

[tex] 7x = 378 [/tex]

Divide both sides by 7

x = 54

Help please someone

Answers

Answer:

60°

Step-by-step explanation:

the relationship between angle RST and its arc TR is:

2m∠(RST)=m(arcTR);

using this formula m∠(RST)=0.5*m(arcTR);

m∠(RST)=60°

Answer:

<S = 60

Step-by-step explanation:

The arc TR and the central angle (T to the center then to R ) are equal.

So the Central angle is 120o

S anywhere on the minor arc is 1/2 the central angle.

<S = 1/2 120

<S = 60

Please help!! Brainliest for right answer!!

Answers

Answer:

(f o g)(x) = 4x^2 - 8

Step-by-step explanation:

(f o g)(x) = f(g(x))

f(x) = x^2 - 8

g(x) = 2x

f(g(x))

f(2x) = (2x)^2 - 8

       = 4x^2 - 8

(f o g)(x) = 4x^2 - 8

A Ferris wheel has a radius of 37 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.

Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a.
f(a)=

Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
g(s)=


Answers

Answer:For the first one, it should be f(a)=37.8(1-cos(a))+.7. My dearest apologies because I do not know why. I just used context from the previous questions. I hope that helps..!

Step-by-step explanation:

The height of the given Ferris wheel can be described with the aid of a

sinusoidal function.

The height above the ground in terms of the angle turned, a, is

presented as follows;

[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]

The height above the ground in terms of the distance traveled, s, is

presented as follows;

[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]

Reason:

The general form of an equation of a Ferris wheel is presented as follows;

f(a) = A·sin(a + C) + D

Where, the amplitude, A = The radius = 37 ft.

D = The midline = Height above the ground + The amplitude

D = A + 0.6 = 37 + 0.6 = 37.6

The 6 O'clock is the lower most position, therefore, at the start, where, 'B·t + C' = 0, we have;

f(a) = A·sin(0 + C) + D

Therefore

f(a) = 37·sin(0 + C) + 37.6 = 0.6

f(a) = 37·sin(C) = 0.6 - 37.6 = -37

[tex]sin(C) = \dfrac{-37}{37} = -1[/tex]

C = sin⁻¹(-1) = [tex]-\dfrac{\pi}{2}[/tex]

The equation of Ferris wheel is presented as follows;

Which gives the equation of the height above the ground (in feet) in terms

of the number of radians, a, you have swept out from the 6 O'clock

position is given as follows; Ferris ;

[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]

Part 2

s = a·r = a·A

Therefore;

[tex]a = \dfrac{r}{s} = \dfrac{A}{s} = \dfrac{37}{s}[/tex]

Plugging the value of s into the above equation gives the function that

determines the height above the ground (in feet) in terms of the number of

feet traveled g(s) as follows;

[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]

Learn more here:

https://brainly.com/question/23844627

Can someone help me with this please?

Answers

Answer:3:7

Step-by-step explanation:

How to convert 2 years 4 months to years

Answers

Answer:

2 1/3 years

Step-by-step explanation:

4 months = 1/3 years

2 + 1/3 = 2 1/3 years

Answer:

2.25 years

Step-by-step explanation:

1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval

Answers

Step-by-step explanation:

1:the range

2:positive interval

3:increasing interval

4:maximum point

5:domain

6:decreasing intveral

7: negative interval

Answer:

As per the graph we have:

1: the range

[-4, +∞)

2: positive interval

(-∞, 1) ∪ (5, +∞)

3: increasing interval

(3, +∞)

4: maximum point

Undefined

5: domain

x = (-∞, +∞)

6: decreasing interval

(-∞, 3)

7:  negative interval

(1, 5)

The sum of the speeds of two trains is 718.4 miles per hour. If the speed of the first train is 3.6 mph faster than that of the second​ train, find the speeds of each

Answers

Answer:

the answer is 359.7

Step-by-step explanation:

Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.

Answers

Answer:

Mean=76

Median=72.5

Step-by-step explanation:

Mean= 70+71+72+73+74+96

                         456/6=76

Median = 70,71,72,73,74,96

               72+73=145/2=72.5

Mean= 76

Median= 72.5

The first step is to rearrange the numbers

70, 71, 72, 73, 74, 96

1. mean= sum of terms/number of terms

= 70+71+72+73+74+96/6

= 456/6

= 76

2. Median can be described as the middle number, the median can be calculated as follows

= 72+73/2

= 145/2

= 72.5

Hence the mean is 76 and the median is 72.5

Please see the link below for more information

https://brainly.com/question/12594842?referrer=searchResults

Each rectangle below has an area of 4 cm? Each square has an area of 2 cm?
If a rectangular box were made from the pattern, what would be the surface area?

Answers

Answer:

Literally any even number that’s not two or four

Step-by-step explanation:

I need a layout

Translate the verbal expression into an algebraic expression

Six more than the quotient of a number and 4.

Answers

Answer:

4x+6

Step-by-step explanation:

The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!

find the values of x and y

Answers

Answer:

x = 79 y = 22

Step-by-step explanation:

x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22

Shannon rode her bike 6 miles in 24 minutes. Find her average rate in miles per hour.

HELP!

Answers

Answer:

.25 Mph

Step-by-step explanation:

6 divided by 24

=

0.25

1/3 of 5/8 as a fraction

Answers

Answer: how are you doing this tho

Step-by-step explanation:

The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

1/3 of 5/8 as a fraction

Let x be the fraction:

x = 1/3 of 5/8

Or

x = (1/3)(5/8)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

After multiplication:

x = 5/24

Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

the ratio of the base to the leg of an isosceles triangle is 2:7. if the perimeter of the triangle is 304 feet, find the length of the base ​

Answers

Step-by-step explanation:

I hit a expected tomorrow:No for completion of a

The required base of the isosceles triangle is given as 38 feet.

What is the isosceles triangle?

A triangle with two sides and two congruent angles is called an isosceles triangle.

here,

For a given isosceles triangle,
side/base = 2 / 7
side = 2/7 base = 7 /2 sides

According to the question,
The perimeter of the triangle is 304 feet,
2 side + base = 304
2 [7/2 base] + base = 304
8 base = 304
base= 304 / 8
base = 38 feet

Thus, the required base of the isosceles triangle is given as 38 feet.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591
#SPJ5

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