Answers
======================
Explanation:
Each face is a polygon representing a wall, ceiling or floor of the 3D structure. If we rotated the figure so that one triangle is flat on the ground we would have...
2 triangles for the floor and ceiling3 rectangles for the wallsThat's 2+3 = 5 faces total.
-----------
The edges connect adjacent faces. For instance, two neighboring walls are connected with an edge. There are 3 edges that connect adjacent walls. There are 3+3 = 6 more edges that connect a wall to either the ceiling or the floor.
That's 3+6 = 9 edges total.
-------------
Vertices are corner points. They are endpoints of segment edges.
The triangular floor provides 3 vertices. The triangular ceiling provides the other 3.
That's 3+3 = 6 vertices total
-------------
Extra info:
Euler's polyhedron formula is
F+V-E = 2
where
V = number of verticesF = number of facesE = number of edgesLet's use that formula for
F = 5 facesV = 6 verticesE = 9 edgesSo,
F+V-E = 2
5+6-9 = 2
11-9 = 2
2 = 2
The formula works for this polyhedron and any other polyhedron. So if you know two of the three items (say the value of F and V), you can use the formula to determine the missing third piece.
Related Questions
Select all of the terms that apply to the shape. // 50 points :) // ANSWER ASAP PLEASE!!
Answers
Answer:
Ok
Step-by-step explanation:
hexagon
regular polygon
Pentagon
Answer:
hexagon
Pentagon
Step-by-step explanation: :/
help ty..:)))))))))............................................
Answers
Answer:
3 times more
Step-by-step explanation:
mangos: m = 108
portugals: p
oranges: o = 3p
108 + p + 3p = 540
108 + 4p = 540
4p = 540-108 = 432
p = 432/4 = 108
o = 3p = 3(108) = 324
324/108 = 3 there are 3 times more oranges than portugals
Answer:
1620
Step-by-step explanation:
540 X 3 = 1620
Help me pls brainliest if right
Answers
Answer:20
Step-by-step explanation:
solve for y:
y=180-125
Y=55
Solve for x:
x=180-(105+55)
x=20
Answer:
All 3 angles ultimately have to equal 180.
We have 1 angle known which is 105.
The other number given is 125 and the angle right next to it added with 125 should also equal 180.
180-125=55
Second angle is 55
Add the two angles known,
55+105=160
180-160= 20
x= 20
Check:
105+55+20=180 so its true
Step-by-step explanation:
Brainliest pls^^
Alyssa plants 1/5 of a row in her garden every 2/3 of an hour.
How many rows does Alyssa plant per hour?
A-- 3 1/3
B-- 2/15
C-- 7 1/2
D-- 3/10
A certain brand of coffee costs $6.99 for 24.2 ounces. What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$____ per oz.
Answers
Answer:
B for alyssa : $0.29 per oz, or 29 cents per oz.
Step-by-step explanation:
find common denominator
1x3=3 5x3=15 so 3/15
2x5=10 3x5=15 so 10/15
To find a unit rate, divide the numerator AND denominator by the denominator. The rate is $6.99/24.2 ounces. We will divide $6.99 by 24.2, and 24.2 ounces by 24.2. The answer will be $0.288843/1 ounce. If we round, it will be $0.29/1 ounce.
B for Alyssa: $0.29 per oz or 29 cents per oz
I have a math test tomorrow about Quadratics and Translations. Can somebody give me an easy-to-understand summary of these key topics?
Transformations with quadratic equations (shift left, right, up, down, reflections, etc.), how to find the axis of symmetry and vertex by the equation, how to find domain and range from a graph, telling if its a quadratic equation by 1st and 2nd difference and anything else related. Also please help me because when creating tables with the equation, the negatives I struggle with for example: y=x^2-4x-6 and substituting -2 it gets super confusing. I WOULD GIVE OUT MORE POINTS but sometimes ppl put bad responses SO PLEASE HELP ME CORRECTLY!! THANK YOU SO MUCH!
Answers
Quadratic equations are polynomial equations of degree 2. They can be written in the form ax² + bx + c = 0, where a, b, and c are constants. The graph of a quadratic equation is a parabola.
Transformations involve shifting or reflecting the graph of a quadratic equation. The most common transformations are shifting the graph left or right (by adding or subtracting a constant from x), shifting the graph up or down (by adding or subtracting a constant from y), and reflecting the graph across the x-axis or y-axis.
How to explain the mathematical termsThe axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. The equation of the axis of symmetry for a quadratic equation of the form y = ax² + bx + c is x = -b/2a.
The vertex is the point on the parabola where it reaches its maximum or minimum value. The vertex of a quadratic equation of the form y = ax^2 + bx + c is (-b/2a, c - b²/4a).
The domain of a quadratic equation is the set of all real numbers for which the equation is defined. The range is the set of all possible y-values that the equation can take. You can find the domain and range of a quadratic equation by looking at its graph.
In recognizing quadratic equations, you can tell if an equation is quadratic by looking at the powers of the variables. A quadratic equation will always have a variable raised to the power of 2.
When substituting negative numbers into a quadratic equation, it can be helpful to use parentheses to avoid confusion. For example, to evaluate y = x² - 4x - 6 at x = -2, you would write y = (-2)² - 4(-2) - 6 = 16 + 8 - 6 = 18.
Learn more about quadratic on
https://brainly.com/question/1214333
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Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use? (3 points)
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)
Answers
Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
Could someone please help?
Answers
Answer:
25 gallons35 gallonsStep-by-step explanation:
You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.
SetupLet x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.
25(60 -x) +40x = 2025 . . . . total miles driven
SolutionSimplify the equation:
1500 +15x = 2025
15x = 525 . . . . . . . . . . subtract 1500
x = 35 . . . . . . . . . . divide by 15
60-x = 25 . . . . . gallons used by car 1
The first car used 25 gallons; the second car used 35 gallons.
__
Additional comment
The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.
Calculate the volume of a cone with a height of 6 inches and a diameter of 6 inches.
Leave your answer in terms of PI
Answers
Answer: Volume ≈ 56.55
Step-by-step explanation:
56.54867 is the answer, but I rounded it. I hope this helped! :)
Answer:
18π cubic inches
Step-by-step explanation:
First, we need to find the radius of the cone, which is half of the diameter.
radius = diameter/2 = 6/2 = 3 inches
The formula for the volume of a cone is:
V = 1/3 × π × r^2 × h
where r is the radius of the base of the cone, and h is the height of the cone.
Substituting the values we get:
V = 1/3 × π × 3^2 × 6
V = 1/3 × π × 9 × 6
V = π × 18
Please help
What is angle 2?
Answers
Answer: 145
Step-by-step explanation: 180 is a staight line so 180-35=145 would make sense
We can tell they are supplementary because they both make up one straight line.
35° + Angle 2 = 180°
Subtract 35° on both sides.
Angle 2 = 145°
A triangular prism is shown below.
What is the surface area of the triangular prism?
A 580 square ft
B 640 square ft
C 840 square ft
D 960 square ft
Answers
Mathematics 20 points!
Please Say A) B) C) D) as your answer
Answers
8*3*5= 120
6*2*10= 120
Answer:
Its B
Step-by-step explanation:
8x3x5 = 120
10x2x6= 120
Btw someone please answer my question
Find the volume of the triangular prism; do not round.
Answers
Answer:
[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]
[tex]\large\underline{\textsf{What is Volume?}}[/tex]
[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]
[tex]\large\underline{\textsf{We are Given;}}[/tex]
[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]
[tex]\textsf{between 2 bases.}[/tex]
[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]
[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]
[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]
[tex]\mathtt{Volume=(Base) \times Height}[/tex]
[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]
[tex]\large\underline{\textsf{For this Problem;}}[/tex]
[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]
[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]
[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]
[tex]\textsf{Find the area of the base first.}[/tex]
[tex]\large\underline{\textsf{Substitute;}}[/tex]
[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]
[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]
[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]
[tex]\large\underline{\textsf{Substitute;}}[/tex]
[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]
[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]
[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]
[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]
[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]
[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]
[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]
[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]
[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]
[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]
[tex]\mathsf{volume = 33.55}[/tex]
[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]
[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
which number line shows the solution to the inequality?
Answers
Answer:
3rd point see explanation
Step-by-step explanation:
y-2<-5
y-2+2<-5+2
y<-3
50 POINTS NO FAKE ANSWERS!!!!!!!!!!
Answers
Shakes are 2,8,24 mice are 5,20,60
the equivalente are 2:5, 8:20 and 24:60
Solve for r.
–142 = r − 953
r =
Answers
Answer:
811
explanation.
142=−953−142+953=−953+953
**URGENT**
Bobby has $5b dollars in his pocket. He goes to the mall and spends $23b on a new shirt, $16 on a hat, and $8 on lunch. How much money does Bobby have left?
I NEED the expression and the answer
Answers
Answer:this question does not make sense to fix it and ask again
Step-by-step explanation:
PLEASE HURRYYY!!!! I WILL MARK BRAINLIEST IF IT'S RIGHT!!!
Simplify.
y⁵ · y³ ÷ y²
Answers
Step-by-step explanation:
Y^5 * Y^3 / Y^2 = Y ^(5+3 -2) = Y^6
Rewrite the division as a fraction.
[tex]\dfrac{y^5\times y^3}{y^2}[/tex]
Multiply y⁵ by y³ by adding the exponents.
[tex]\dfrac{y^8}{y^2}[/tex]
Cancel the common factor of y⁸ and y²
[tex]\bold{y^6}[/tex]
The variables x and y have a proportional relationship, and y=5 when x=8
Which equation represents this relationship
A- y=8/5x
B- y=13x
C- y=5/8x
D- y=40x
Answers
Answer:
C y = 5/8 x
Step-by-step explanation:
y = kx
5 = k × 8
k = 5/8
y = (5/8)x
A florist orders roses and carnations. The roses cost $16 per dozen, and the carnations cost $9 per dozen. The florist orders a total of 18 dozens of roses and carnations for a total cost of $218.
How many dozens of roses does the florist order?
A. 6 dozen
B. 8 dozen
C. 10 dozen
D. 12 dozen
Answers
Answer:
B. 8 dozen
Step-by-step explanation:
Let r = number of dozens of roses.
Let c = number of dozens of carnations.
c + r = 18
9c + 16r = 218
-9c - 9r = -162
9c + 16r = 218
7r = 56
r = 8
Answer: B. 8 dozen
Answer: Its 8 dozen
Step-by-step explanation: 1. you multiply 8 times 16 and you get $128
2. you then multiply the remaining carnations by 9. 9 times 10 is $90
3. $128 + $90 is $218
Heather spent $12.50 for tickets to the school play. The equation below can be used to find x, the number of tickets that Heather bought. 2.50 � = 12.50 2.50x=12.50 How many tickets did Heather buy? Show your work or explain your answer.
Answers
Hello,
It's easy, you can use the multiply, so you must have 5 tickets for getting $12.50 so here's the equation : 2.50 x 5 = 12.50.
PS : Sorry about my english, don't hesitate to ask me again.
nathan buys 2 baseball tickets for 15 dollars each and 2 lunches for 3.50 how much money does he spend all together
Answers
Answer:
2*30=15+2*3.5=37%
Step-by-step explanation:
Answer:
He spends $37 each.
Step-by-step explanation:
If you add together the spent money then you get $37:
$30 + $7 = $37
A road crew can repave 1/30 miles of road each hour. They must repave a road that is 2/5 miles long. How long will it take the crew to repave the road?
Write your answer in simplest form.
Answers
Total length of road: 2miles/5
Amount repaved per hour: 1/30
Solving using the unitary method:
For the following, use the information given by the inequality to describe the relative position of the numbers on a horizontal number line.
Answers
Answer:
duh
Step-by-step explanation:
-0.1 is greater than -0.2
Answer:-0.2 > -0.1
Step-by-step explanation:-0.2 > -0.1
1.) 25 - 3x = 88
2.) -11 = 7 - x
3.) 95 = -4 + 33x
Answers
Answer: hope this helps ♡
1.) x = -21
2.) x = 18
3.) x = 3
Step-by-step explanation:
(minus&minus = plus) (minus&plus = minus) (plus&minus = minus)
1.) 25 - 3x = 88
25 - 25 - 3x = 88 - 25
-3x = 63
-3x ÷ 3 = 63 ÷ 3
-x = 21 → x = -21
2.) -11 = 7 - x
-11 - 7 = 7 -7 -x
-18 = -x
18 = x → x = 18
3.) 95 = -4 + 33x
95 + 4 = -4 + 4 + 33x
99 = 33x
99 ÷ 33 = 33x ÷ 33
3 = x → x = 3
[tex] \text{1 ] 25 - 3x = 88 }[/tex]
[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]
[tex] \: [/tex]
_________
[tex] \text{2 ] -11 = 7 - x }[/tex]
[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]
[tex] \: [/tex]
_________
[tex] \text { 3 ] 95 = -4 + 33x }[/tex]
[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]
[tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps:)
Please help me ! i need this done now!
Answers
Answer is 10 (B)
please help me fast to please and if you get it right I will mark you as brainlyst and plut 15 poing please I beg you fast
Answers
Answer:1.5
Step-by-step explanation:
please help. i dont understand
Answers
Answer: Look at the key, count all of the shapes on the top by matching them with the key. Then look at the key again and the answers and find what matches.
HELP PLEASEE!!
What is the sum of -2x³ + x-3 and x³- 3x - 4?
(a) Show your work.
(b) Is the sum of -2x³ + x-3 and x³-3x - 4 equal to the sum of x³ - 3x - 4 and
-2x³ + x-3? Explain your answer.
Answers
Answer:
a) the result is -X³-2x -7
b) no
Rewrite each expression using the distributive property.then combine like terms if possible
2(x+3)-6(x+3)
Answers
Answer:
2x+6-6x-18
-4x-12
Step-by-step explanation:
Your first distributing then your combining like terms,finally you cannot evaluate the answer anymore.
Which is a correct classification for this triangle?
Responses
acute triangle
equiangular triangle
right triangle
obtuse triangle