What’s the least number of faces a polyhedron can have? And why?

Answers

Answer 1

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).


Related Questions

Suzanne was making lemonade for the school carnival. She had bought 12 1/5 pounds of sugar to use for the lemonade. When she was finished making lemonade, she had 4 4/5 pounds of sugar left over. How much sugar did she use for the lemonade?

Answers

Answer:

[tex]7\frac{2}{5}[/tex]

Step-by-step explanation:

According to the Question,

Given, Suzanne was making lemonade for the school carnival. She had bought [tex]12\frac{1}{5}[/tex] pounds of sugar to use for the lemonade & When she was finished making lemonade, she had [tex]4\frac{4}{5}[/tex] pounds of sugar left over.

Thus, the sugar did she use for the lemonade is [tex]12\frac{1}{5} - 4\frac{4}{5}[/tex] .

[tex]\frac{61}{5} - \frac{24}{5}[/tex]  ⇒  [tex]\frac{37}{5}[/tex] or [tex]7\frac{2}{5}[/tex] Pounds .

Answer:

7 2/5

Step-by-step explanation:

What is an equation of a line that passes through the points (1,8) and (-1, -2)

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

Y = mx + b

find the rise/run

in this case [tex]\frac{10}{2}[/tex] or 5

find b or the y intercept

in this case 3

Hope this helps!

Multiply (3n + 8) by (4n + 2) using double distribution.

Answers

Answer:

12n² + 38n + 16

Step-by-step explanation:

(3n + 8)(4n + 2)

12n² + 6n + 32n + 16

12n² + 38n + 16

2^x=1/32 write down the value of x

Answers

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] )  {take both the sides}

[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )

[tex]x=\frac{log(1/32)}{log (2)}[/tex]

[tex]x=-5[/tex]

hope this helps....

whats 3 plus 4 times 3?

Answers

Answer:

3+(4*3)=15.....................

Answer:

21

Step-by-step explanation:

3+4=7

7×3=21

you are going to add 3 and 4.

After adding, you multiply 7by 3

giving yout 21

What is the probability of student liking music given they already like

Answers

Answer:

So so so easy its 1 because all of them like music

Use the drop-down menu to complete the statement. What is 3 ÷ 2 5? To find the quotient, jump groups of

Answers

Answer:

2/5

Step-by-step explanation:

Answer:2/5

Step-by-step explanation:

right on edge

For what value of x is
896Z15
225 25
11
XV14z? Assume z+0.

Answers

Answer: Value of x is, 8

Step-by-step explanation:  

Given:   ,.....[1]

To find the value of x:

Using exponent rules:

Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by  we get;

Simplify:

or

Simplify:

x = 8

Therefore, the value of x is, 8

help!!
find the area of the figure below

Answers

Answer:

395.5917959

Step-by-step explanation:

parallelogram area is 15 x 12

one half circle is 9^2[tex]\pi[/tex]/2

the other is 7.5^2[tex]\pi[/tex]/2

add all together

Can someone please tell me what the equation would be and how I would show it

Answers

Answer:

Step-by-step explanation:

3x-4y-15=0

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x-4y-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000

y-intercept = 15/-4  = -3.75000

Calculate the X-Intercept :

When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000

x-intercept = 15/3  =  5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Hope This Helps!!!

What is the value of x in the following equation? 11^4x+1= 11^3x-7

Answers

Answer:

-8

Step-by-step explanation:

well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:

4x+1 = 3x -7

subtract one from both sides

4x = 3x - 8

subtract 3x from both sides

x = - 8

Answer:

x=  -8

Step-by-step explanation:

A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.

Answers

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

Which expression is equivalent
10’4 x 40
45

A.10’4 x 4’5
B.4’9
C.40’9
D.10’4 x ‘15

Answers

Answer:

b

Step-by-step explanation:

Please help and thank you. Brainliest!

Answers

The answer is B.$22 for 4 pounds of cashews

Answer:

B) $22 for 4 pounds of cashews.

Step-by-step explanation:

[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]

Help plz I dont get it

Answers

Roxanne finished more of her to do list because if you take 5/6 and turn it into a decimal you get 0.83, while Quinn finished least because 7/9 is 0.77

rectangle what shape

Answers

Square

_________________

Need help on this question I’m taking this!!

Answers

Answer:

A) y=4+x

Step-by-step explanation:

Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.

700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.

Answers

The standard deviation of the data is 100 if round to the nearest whole number.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

The list represents the approximate number of megabytes of data Grace used each month as shown in the table.

To find the standard deviation first we will find the mean:

The sum of the all data given = 9380

The mean X' = 9380/12    (total number of observation = 12)

Now subtract the mean from each sample value such as (X-X') and square it.

Find the sum of it.

The formula for the standard deviation is given:

[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]

Put the ∑(X-X')² = 120866.67 and n = 12

[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]

SD = 100.36 ≈ 100

Thus, the standard deviation of the data is 100 if round to the nearest whole number.

Learn more about the standard deviation here:

brainly.com/question/12402189

Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it take him to earn the rest of what he needs?

Answers

Answer:

it will take him 9 weeks to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get 9.

The probability that Sam will win the 50-yard dash is 85%. What is the probability that Sam will not win the 50-yard dash?

Answers

Answer:

15%

Step-by-step explanation:

100 % - 85 % = 15 %

Triangle ABC has angle measrures as shown




(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work

Answers

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Please help me with this

Answers

Answer:

zero product property of multiplication

Step-by-step explanation:

step 2 is valid, because for the main expression in step 1 to be true, only one of the 2 factors need to be 0, as

0 × something is always 0.

therefore, it is sufficient to find the values of x that renders the expression of one factor to 0.

- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?

- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?

Please help me with these two. I will mark you as brainly

Answers

I’m not surevhcxjjbvcvhhccc

Help with this?
find the surface area​

Answers

Answer:

49.

7×7=49.

Step-by-step explanation:

i did this. hope it helps

Which is equivalent to the expression
(2x = 3x) + (3x + 2x + 3)?

Answers

Answer:

add and the take the parathesis out and there you have ur answer

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

I'm going to asume the = was a typo and you intended

(2x + 3x) + (3x + 2x + 3)

Combine like terms

8x + 3

15 POINTS FOR WHO WILL ANSWER


You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV

Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank



Which car is faster? And use the graph

Answers

Answer:

The 24,003 is the fastest

SUV would be faster

Write the standard equation of a circle with center (1, 3) and radius 2
units.

Answers

Step-by-step explanation:

The distance between the point anywhere in the circumference of the circle and the centre of the circle is 2,

[tex] \sqrt{(1 - x {)}^{2} + {(3 - y)}^{2} } = 2 \\ 1 - 2x + {x}^{2} + 9 - 6y + {y}^{2} = 2 \\ [/tex]

Therefore the equation of circle is:

[tex] {x}^{2} + {y}^{2} - 2x - 6y + 8 = 0[/tex]

5.(03.05)
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes. (1 point)
OFW - ****
O Rw) -- to ***
O
f(x) -
x + 10
o
f(x) = -

Answers

Answer:

f(x)=10-x/4

Step-by-step explanation:

this is the answer

Answer:

he runs for 39 min in 10 kilometres

Step-by-step explanation:

if he runs 10 kilometres

u add 4 10 times add if and u will find 39 min for 10 kilometres running

What is the measurement for b ??

Answers

Answer: 37 degrees

Explanation:
180 degrees is the measure of a line

180-143= 37 degrees

How can you tell that −10 and −20 are solutions to this inequality, but 10 is not? 3n − 40 < −5n + 8

Answers

Step-by-step explanation:

-10 or -20 satisfies the equation.

But when you substitute 10 in:

30-40<-50+8

-10<-42(wrong)

it's wrong

The solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question as:

3n − 40 < −5n + 8

Rearrange the terms in the above inequality

3n + 5n < 8 + 40

Apply the addition operation in the terms

8n < 48

Divided by 8 into both sides of the inequality

n < 6  ....(i)

Substitute the value of n = 10 in inequality (i),

10 < 6

This is not true, so 10 is not the solution to the given inequality.

Therefore, the solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ5

Other Questions
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction? Which statement reflects a theme that is developed in thepassage?A. People are frequently abandoned by those they love.B. Individuals are unable to control their fate.C. Physical beauty makes people take risks.D. Meaningful relationships are rewarding. Find ALL the supporting details, please. =/_\= Please select the word from the list that best fits the definitionone nation controls the government or economy of another nation The energy of an electromagnetic wave changes proportionally to whichother property?O A SpeedO B. ShiftO c. WavelengthO D. Frequency Do you think Henrys audience was more likely to listen to him after he said this? No man thinks more highly than I do of the patriotism, as well as abilities, of the worthy gentleman who have just addressed the house and L Pretest Unit 7Question 13 of 20Andrew is trying to identify an unknown element. The element is shiny, but itshatters when hammered and cannot be hammered into different shapes.Where on the periodic table is this element most likely found?A. On the left sideB. In one of the series below the main body of the tableC. On the right sideD. Along the metalloid stairstep lineSURMIT What is the Voltage of a circuit that has a resistance of 50 and a current of 2 A?A 25 VB. 107C. 2.5 VD. 0.4V Given the effects of precession, will this still be the case in 13,000 years? Explain your answer. Draw a diagram to illustrate this process. !NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,which expression represents how much money Bennett had left after x months. f(x) = x , g(x) = x+1 find gof (2) , fog (2) This processes is controlled by A. RNAB. DNA Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ABC EDF, what is the measure of DF?pls help me Sue wants 1 / 3 of a rectangular pan of cornbread. Dena wants 1 / 2 of the same pan of cornbread. How should you cut the cornbread so that each of the girls gets the size portion she wants? A company produce 6400 text book. The company packed 400 into each carton how many carton did they fill ? HELP PLEASE giving out brainilest What index of y make value 1/y^2 In the Webster-Hayne debates, who described the United States as a league of independent states? When finding the length of the hypotenuse of a right triangle, why might you approximate the answer? I NEED THIS ASAP I AM TIMED solve the equation:xyxy+y=0