Which of the following is a type of face found on a Platonic solid? A. Parallelogram B. Square C. Quadrilateral D. Rectangle
Answers
Answer:
B. Square
Step-by-step explanation:
"In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent, regular, polygonal faces with the same number of faces meeting at each vertex."
A square is a type of face found on a Platonic solid.
Option B is the correct answer.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The Platonic solids are a group of five polyhedra that have certain properties, including the fact that they have regular polygonal faces.
Specifically, each face of a Platonic solid must be a regular polygon, meaning that all of its sides and angles are congruent.
Square, because a square is a type of regular polygon with four congruent sides and angles, and it is one of the types of faces found on a Platonic solid.
The other regular polygons that can be faces of Platonic solids are equilateral triangles, regular pentagons, regular hexagons, and regular dodecagons.
Thus,
A square is a type of face found on a Platonic solid.
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Related Questions
Please help me I keep getting long and I do not know what I’m doing
Answers
Answer:
-2
Step-by-step explanation:
Trial and error with multiples of 5.
The first one Tried was 15 and
I got kJ and kl= 15. But that’s not right as they are equal now.
Note that the numbers we are trying are the difference between j and k and not where k is,yet
So, I tried 25
K = -27 + 25 = -2
K from l = 3-5(because ratio was five to one) =-2
Hope this helps
find the area of the circle
Answers
Answer:
113.04
Step-by-step explanation:
Since the diameter of a circle is twice the radius, the radius of this circle must be 12/2=6ft. Using the area formula:
[tex]A=\pi r^2 =3.14 \cdot 6^2=113.04 \text{ ft}^2[/tex]
Hope this helps!
Answer:
113.04
Step-by-step explanation:
area = (pi)r^2
r = radius = diameter/2
r = 12 ft/2 = 6 ft
area = 3.14 * (6 ft)^2
area = 3.14 * 36 ft^2
area = 113.04 ft^2
Which facts could be applied to simplify this expression? Check all that apply. 5 x + 3 y + (negative x) + 6 z To add like terms, add the coefficients, not the variables. First add 5x + x. The simplified expression is 4 x + 3 y + 6 z. Only combine terms which contain the same variable. The simplified expression is 5 x + 3 y + 6 z.
Answers
Answer:
A. To add like terms, add the coefficients, not the variables.
C. The simplified expression is 4 x + 3 y + 6 z.
D. Only combine terms which contain the same variable.
Facts could be applied to simplify the expression to add like terms, add the coefficients, not the variables.
We have to determine the steps involved to simplify the expression.
What is the expression?An expression is a set of terms combined using the operations addition, subtraction, multiplication, and division.
For simplifying the expression this expression.
A. To add like terms, add the coefficients, not the variables.
C. The simplified expression is 4 x + 3 y + 6 z.
D. Only combine terms which contain the same variable.
Therefore by applying the above steps we can simplify the given expression.
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A study of the effect of seatbelt use in head-on car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less that a 0.0001 chance of getting these results. The probability shows that the sample results ____(could or could not) have occurred by chance. It appears that there _______ (is or is not) sufficient evidence to conclude that seatbelts do have an effect on survival rate.
Answers
Answer:
The correct option are;
1) Could not
2) Is
Step-by-step explanation:
The parameters given are;
The survival rate of drivers using seat-belt = 67%
The survival rate of drivers not using seat-belt = 41.5%
The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001
Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;
The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.
A cell phone company orders 400 new phones from a manufacturer. If the probability of a phone being defective is 2.1%, predict how many of the phones are likely to be defective.
Answers
Answer: there would be 8 defective phones.
Step-by-step explanation: assuming that only 2 percent is defective and the other 98 are not, every hundred phones ordered, two would be defective.
PLZZZZZZZZZ HLPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEE
Answers
Answer:
[tex]y<-4x+3[/tex]
Step-by-Step Explanation:
We want to find the slope-intercept inequality for the graph shown.
First, we will need to determine the equation of the line. We are given two points: (1, -1) and (2, -5). Let’s use the two to determine the slope. The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (1, -1) be (x₁, y₁) and let (2, -5) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{-5-(-1)}{2-1}=\frac{-4}{1}=-4[/tex]
So, our slope is -4.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute -4 for m. For consistency, we will let (1, -1) be (x₁, y₁). Hence:
[tex]\displaystyle y-(-1)=-4(x-1)[/tex]
Distribute:
[tex]y+1=-4x+4[/tex]
Subtract 1 from both sides:
[tex]y=-4x+3[/tex]
Finally, we can determine our sign.
Notice that our line is dotted. Therefore, we do not have “or equal to.”
Also, notice that the area shaded is below our line. Therefore, our y is less than our equation .
So, our symbol should be ”less than.”
Therefore, our equation is:
[tex]y<-4x+3[/tex]
=============================================================
We need to find the equation for the boundary line. It goes through the two points (1,-1) and (2,-5)
Find the slope of the line through (x1,y1) = (1,-1) and (x2,y2) = (2,-5)
m = (y2 - y1)/(x2 - x1)
m = (-5 - (-1))/(2 - 1)
m = (-5 + 1)/(2 - 1)
m = -4/1
m = -4 is the slope
Plug m = -4 and (x1,y1) = (1,-1) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-1) = -4(x - 1)
y + 1 = -4(x - 1)
y + 1 = -4x + 4 ... distributing
y + 1 - 1 = -4x + 4 - 1 ... subtracting 1 from both sides
y = -4x + 3 is the equation of the boundary line
The blue shaded region tells us to consider all points below this boundary line as solutions. So we will use a "less than" sign to indicate this
We go from y = -4x+3 to y < -4x+3 which is the answer we want.
We do not have a line under the inequality sign. Simply because the boundary is a dashed line, so we exclude points on the boundary line as solutions. If we had [tex]y \le -4x+3[/tex], then the boundary line would be solid and it would tell the reader "points on the boundary line are part of the solution set".
PLEASE HELP ASAP!!!!!!!!
Answers
Answer:
a)f(o)=12
f(1)=0
f(12)=1320
c)x=1
Step-by-step explanation:
Complete the work to solve for y
?(3y+5) – 5 = Ży-1+ toy
1
Distributive property
- 1 +
10
2. Combine like terms:
=
3
5
3. Subtraction property of equality
11
Addition property of equality
2
5 Y
Division property of equality
What is the value for y?
Answers
Answer:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Joan waters her plants each day with gallons of water. With a new irrigation system in place, she uses gallons of water each day. How many gallons of water does she save in a 30-day period with the irrigation system?
Answers
Answer:
[tex]172\frac{1}{2}[/tex] gallons
Step-by-step explanation:
Considering she waters her plants with 25 1/2 gallons i.e 51/2
and with the new system, she does it with 19 3/4 i.e 79/4
taking the difference:
[tex]\frac{51}{2} - \frac{70}{4}[/tex] = [tex]\frac{23}{4}[/tex] gallons per day
For 30 days:
30 x [tex]\frac{23}{4}[/tex] = 172.5 or [tex]172\frac{1}{2}[/tex] gallons
The train to San Fernando travels 120 miles per hour. How long will or trip take if San Fernando is 750 miles away? A. 6 hours 15 minutes B. 6 hours C. 5 hours 30 minutes D. 5 hours 15 minutes
Answers
Answer: A 6 hours 15 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 750 / 120
Time = 6.25
Answer:
A. 6 hours and 15 minutes
Step-by-step explanation:
=> 120 miles = 1 hour
=> 1 mile = 1/120 hour
Multiplying both sides by 750
=> 750 miles = hours
=> 750 miles = 6.25 hours
=> 750 miles = 6 hours 15 minutes
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models
the function?
Graphing
Answers
Answer:
The graph that best fits this model of profit and price per unit is attached to this solution.
Step-by-step explanation:
A couple of graphs are missing from the question. According to the full question as obtained online, there are a number of graph options, and we are expected to pick the best option. I would not add all the other graphs to limit the chances of deletion due to violating community guidelines.
The function is to model the profits of a new pet-monitoring system, so, if the profits are y and x is the price per unit, y = f(x)
The profits vary as the price per unit varies, there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit.
This description of the curve shows that y is negative at values of x less than $95, then the profits increase when x varies between $95 and $140. The profits reach a maximum at $140 and then the profits start to decline as x increases again, the profits go to 0 at x = $185.
This description shows that the function is a quadratic function with a graph that is n-shaped, peaking at x=185 and the graph crosses the x-axis at x=95 and x=185.
The most fitting graph for this model is attached to this solution provided.
From the graph, all the descriptions above are evident.
Hope this Helps!!!
Answer:
Graph A!
Step-by-step explanation:
just passed on edge 2020
Find the measure of angle C of a triangle ABC, if: m∠A = α, m∠B = 2α Find m∠C
Answers
Answer:
180°- 3α
Step-by-step explanation:
By angle sum postulate of a triangle.
[tex] m \angle \: A+ m \angle \: B + m \angle \: C = 180 \degree \\ \alpha + 2 \alpha + m \angle \: C = 180 \degree \\ 3 \alpha + m \angle \: C = 180 \degree \\ \huge \red{ \boxed{\angle \: C = 180 \degree - 3 \alpha}} \\ [/tex]
In a triangle [tex]ABC[/tex] the measure of angle [tex]C[/tex] is equals to [tex](180 - 3\alpha )\°[/tex].
What is triangle?" Triangle is defined as the two dimensional geometrical shape with three sides , three vertices and three angles enclosed in it.Sum of all the interior angles in a triangle is equals to [tex]180\°[/tex]. "
According to the question,
In a triangle [tex]ABC[/tex],
Given measure of angles,
[tex]m\angle A = \alpha \\\\m\angle B = 2\alpha[/tex]
Sum of all the interior angles in a triangle is equals to [tex]180\°[/tex].
Therefore,
[tex]m\angle A + m\angle B + m\angle C = 180\°[/tex] ________[tex](1)[/tex]
Substitute the value of [tex]m\angle A , m\angle B[/tex] in [tex](1)[/tex] we get,
[tex]\alpha + 2 \alpha + m \angle C = 180\°\\\\\implies 3\alpha + m \angle C = 180\°\\\\\implies m \angle C = 180\°- 3\alpha[/tex]
Hence , in a triangle [tex]ABC[/tex] the measure of angle [tex]C[/tex] is equals to [tex](180 - 3\alpha )\°[/tex].
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Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?
1. Whereon the lineaments of that dead face
2. Are graven, till the characters be grown
3. Into itself, and thought no more can trace;
4. 'Tis the melodious hue of beauty thrown
A:Tis the melodious hue of beauty thrown
B:into itself,and thought no more can trace
C: Are graven,till the characters be grown
D: Whereon the linements of that dead face
explain answer this question is English
Answers
Answer:
A: Tis the melodious hue of beauty thrown .
Explanation:
An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.
In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".
Thus, the correct answer is option A.
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the library. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle. A triangle has points labeled Library, Mall, and Home The largest angle formed during his trip is _______. At his home at the mall between the mall and the library between his home and the library
Answers
Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
D
Step-by-step explanation:
Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answers
Answer:
Earth's circumference is approximately 25,120 miles because if you plug in 8,000 and 3.14 into the formula C = πd, C = 25,120.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6
Answers
Start by setting up your two sets of parenthses.
X² breaks down into x and x.
What we are looking for is factors of the constant term
that add to the coefficient of the middle term.
The question is, what is the coefficient of the middle term
in this problem if there is nothing written in front of the x.
Well if there is nothing written there,
the coefficient is understood to be 1.
So what we are looking for are factors of -12 that add to -1.
Factors of -12
+12 · -1
-12 · +1
+6 · -2
-6 · +2
+4 · -3
-4 · + 3
We can see that -4 and +3 add to -1.
So they go in the second position of each binomial.
This gives us (x - 4)(x + 3) as our answer.
i need a graph of y=3x−1
Answers
Ah, simple!
It's important to identify what each part of your equation, which is in slope intercept form.
Let's break it down:
3x = Slope (in this case, it would be [tex]\frac{3}{1}[/tex], which means to go to the up three units, and right one unit)
-1 = Y-intercept (where your line begins)
If there's any confusion, feel free to leave a comment.
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
Answers
That is the x coordinate
You then need to add 2 and -4 together to get -2 and divide by 2 to get -1
This is the y coordinate
(2.5,-1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
The standard equation of a circle is:
(x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius of the circle.
Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:
[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]
Hence the center of the circle is at (2.5, -1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
Una compañía fabricó tres tipos de muebles: sillas, mecedoras y
sofás. Para la fabricación una silla, se necesitan 1 unidad de madera, 1
de plástico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1
de plástico y 3 de aluminio, mientras que para un sofá se precisa
utilizar 1 unidad de madera 2 unidades de plástico y 5 unidades de
aluminio. La compañía disponía de 400 unidades de madera, 600 de
plástico y 1500 de aluminio. Sabiendo que utilizó todas sus existencias
de materiales, ¿cuántos muebles de cada tipo fabricó (sillas, mecedoras,
sofás)? sistema de ecuación 3*3 método cramer
Answers
Answer:
neuf mille
je ne suis pas sûr
Step-by-step explanation:
If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
Answers
Answer:
6 matches
Step-by-step explanation:
Let’s call the teams A B C D
A will play B C D = 3 matches
B will play only C and D as it already played A, making 2 matches
C will play D, making 1 match
D has already played all
Total number of matches is thus 3 + 2 + 1 = 6 matches
What is the value of the product (3 - 2i) (3 +2i)?
O 5
9 + 4;
9 – 4;
Answers
Answer:
9-4i²
Step-by-step explanation:
(3-2i)(3+2i)
Use the FOIL method for this.
First: 9
Outer: 6i
Inner: -6i
Last: -4i²
9+6i-6i-4i²=
9-4i²
Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
Answers
Answer:
1 pound
Step-by-step explanation:
Given the cost function of two domestic courier services.
y=4x+1y=3x+2We want to determine the weight (x) at which the costs (y) will be the same.
Since y=4x+1 and y=3x+2, then:
4x+1=3x+2
4x-3x=2-1
x=1 pound
When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.
Solve for y 2y=24-4y
Answers
Answer:
y = 4
Step-by-step explanation:
2y=24-4y
Add 4y to both sides
2y+4y=24-4y+4y
6y=24
Divide both sides by 6
6y÷6=24÷6
y=4
Please help there’s a picture
60°
60
Y=?
Answers
Answer:
Pretty sure it's 90 degrees
Step-by-step explanation:
I hoped it helps
Circle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB
Answers
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
line AB
midpoint
Step-by-step explanation:
a two digit number is such tht product is 15 . When 18 is added to the numberthe digits interchange .Find the numbers?
Answers
Answer:
35
What are the factors of 15?
1,15
3,5
It is a two digit number so it has to be 35 or 53
Add 18 to both numbers
35 + 18 = 53
53 + 18 = 71
35 became 53 so 35 is the answer
Hope this helps
Step-by-step explanation:
Multiply the following complex numbers:
(7-3i)(8 + 4i)
Answers
Answer:
A
Step-by-step explanation:
Noting that i² = - 1
Given
(7 - 3i)(8 + 4i) ← expand factors using FOIL
= 56 + 28i - 24i - 12i²
= 56 + 4i - 12(- 1)
= 56 + 4i + 12
= 68 + 4i → A
Answer:
A. A. A. A. A. A. A. A. A.
Step-by-step explanation:
$3000 is deposited in an account
that pays 5% interest,
compounded quarterly, for 10
years. How much more would be
in the account if the interest were
compounded continuously rather
than quarterly?
Answers
Answer:
$15.30
Step-by-step explanation:
The formula for the account balance with continuous compounding is ...
A = Pe^(rt)
For the given values, this is ...
A = $3000·e^(0.05·10)
A ≈ $4946.16 . . . . balance with continuous compounding
__
The amount with quarterly compounding is ...
A = P(1 +r/n)^(nt)
A = $3000(1 +.05/4)^(4·10)
A ≈ $4930.86 . . . . balance with quarterly compounding
__
The difference is ...
$4946.16 -4930.86 = $15.30
The continuously compounded account would earn $15.30 more in 10 years.
Which sets of values belong to the domain and range of a relation?
output values
Domain
Range
values for the independent variable
input values
values for the dependent variable
Answers
Answer:
see below
Step-by-step explanation:
The domain is the input values which is the independent variable
The range is the output values which is the dependent variable
Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qual polinômio apresenta a área dessa sala após a ampliação? *
a) x² + 4x + 8
b) x² + 6x + 8
c) x² + 2x + 8
d) x² + 8
e) 2x + 6
Answers
Answer:
b) [tex]x^2 + 6x + 8[/tex]
Step-by-step explanation:
Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.
Deje que la longitud y el ancho de la habitación antes de la expansión sean x.
La nueva longitud de la sala es (x + 4).
El nuevo ancho de la sala es (x + 2).
La nueva área de la sala será:
[tex](x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\[/tex]
Esa es la nueva área de la habitación.