Answer:
plotting the (x,y) coordinates in graph
Write a formula that connects the number of sides of the end face,
S
, with the number of vertices,
V
.
Hence, find the number of vertices of a prism whose cross-section is a 30-sided polygon.
Answer:
56
Step-by-step explanation:
Euler theorem is a theorem used to show the relationship between the face, vertices and edge of a three dimensional shape (polyhedron)
Euler theorem is given as:
Face + vertex = Edge + 2
We can prove this theorem using the table attached.
For triangular prism: 5 + 6 = 9 + 2
For rectangular prism: 6 + 8 = 12 + 2
For pentagon prism: 7+ 10 = 15 + 2
For hexagonal prism: 8 + 12 = 18 + 2
The relationship between the vertex and face is:
vertex = face + (face - 4)
Therefore, for a prism with 30 sides, that is 30 faces, we have:
vertices = 30 + (30 - 4) = 30 + 26 = 56
Roma swims at a rate of 54 metre per minute. At this rate how long does she take to swim 270 metre ?
Answer:
Step-by-step explanation:
54 times 270 = 14580
Subtract the second equation from the first.
Answer:
2y = 8
Step-by-step explanation:
4x+3y = 17
- ( 4x+y = 9)
----------------------
Distribute the minus sign
4x+3y = 17
- 4x -y =- 9
----------------------
0x +2y = 8
Answer:
2y = 8
Step-by-step explanation:
4x+3y=17
-4x-y=9
_______
0+2y=8
2y=8
I am a 3D object.
I have four triangular faces and four vertices.
What am I?
Answer:
It is a tetrahedron.
On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.
Answer:
27
Step-by-step explanation:
you have to break it down into 5 parts separating the middle part by itself being 3x3=9+ the 4 other parts that is 1.5x3=4.5x4=18 add them together and it's 27
A 12oz box of cereal costs $3.50. An 18oz box of cereal costs $5.40 Set up eqautions to determine which is the better buy?
Answer:
12 oz
Step-by-step explanation:
3.50/12 = $.29 5.40/18 =$ .30
First one gram equals 1000 grams, so a 39 kilogram equals 39000 grams. Then, 1000 pillows times 300 equals a 39 kilogram sofa. Is my answer correct?
Answer:
No
Step-by-step explanation:
Kilogram is the unit of weight. Kilogram is the measure of how much matter or the mass an object has in it. Kilogram is the bigger unit of measurement while gram and milligram are the smaller units to measure the weight of any object.
We know,
1 kilogram = 1000 gram x 1
So, 1000 gram is equal to 1 kilogram
That means, 39,000 gram is equal to 39 kilogram.
In the question it is asked whether 1000 pillows times 300 is equal to 39 kilogram sofa or not.
The answer is not correct, because we do not know the weight of the 1000 pillows.
And also, 1000 x 300 will give you 300,000 and not 39 kilogram or 39,000 grams.
10x^3/5x^2 2/x. 2x 2 x/2
Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sandboxes at each of the schools. He estimates that he will need 3 tons of sand for this project. How many 50-pound bags of sand should he order for each school?
Answer: 5 bags of sand
Step-by-step explanation:
Given
There are 8 elementary schools
3 Tons of sand is needed
It is contained in a 50- Pound bag
1 ton is equivalent to 2000 Pound
No of 50- Pound bag required is
[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]
These 40 bags will be required in 8 schools. So, each school requires
[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]
Answer:
The number of bags required for each school is 16.53
Step-by-step explanation:
Number of schools = 8
Total sand required = 3 tons
mass of each bag = 50 pounds
Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg
1 pound = 0.454 kg
1 kg = 2.205 pounds
So, 375 kg = 826.7 pounds
So, the number of bags required for each school = 826.7/50 = 16.53 bags
What coordinates for point c would make pqt simular to abc
Answer:
A. (7, -5)
Step-by-step explanation:
The given coordinates of the vertices of ΔPQT are;
P(-2, 5), Q(-2, 1) and T(-5, 1)
The length of the side TQ = 3 units
The length of the side PQ = 4 units
Therefore, the length of the side PT = √(3² + 4²) = 5
The coordinates of the line segment AB = A(1, 3), B(1, -5)
Therefore, using a scale factor of 2, where the sides PQ and AB are corresponding sides, we have;
Where BC is the corresponding side to the TQ on ΔPQT, we have;
The length of BC = 2 × The length of TQ = 2 × 3 units = 6 units (distant from B along the x-axis)
Therefore, the possible points for the point C are;
C(1 - 6, -5) or C(1 + 6, -5)
C(-5, -5) or C(7, -5)
Therefore, the correct option is option A. C(7, -5).
Find the volume of this object.
Use 3 for i.
Volume of a Cone
V=7r2h
3
Volume of a
Rectangular Prism
V = (wh
cmi
5 cm
6 cm
1 cm
V~ [?]cm3
12 cm
Enter
Which equation represents the standard form of the equation y = (x + 3)^2 - 4?
It is a quadratic equation.
Expand the equation to find the general form
y = (x + 3)^2 - 4
y = (x + 3)(x + 3) - 4
y = x^2 + 6x + 9 - 4
y = x^2 + 6x + 5
Answer:
y = x^2 + 6x + 5
Step-by-step explanation:
Here we want to rewrite y = (x + 3)^2 - 4 in standard form, which is:
y = ax^2 + bx + c
First, expand y = (x + 3)^2 - 4:
y = x^2 + 6x + 9 - 4
Combining like terms, we get:
y = x^2 + 6x + 5 which is in standard form.
This simplifies to:
y =
HELP PLS
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x + 7).
Which statement describes how the graph of h is different from the graph of g?
Answer:
C
Step-by-step explanation:
Consider f(x) = x^3 and g(x) = (x+1).
Every point is then shifted to the left. Why?
We can plug in some points, let's say x=0.
For f(x), we get 0, for for g(x), we get 1.
Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.
On a number line 8.2 would be located where
Answer:
Step-by-step explanation:
8.2 comes between 8 and 9
8.2 = [tex]8\frac{2}{10}[/tex].
As you know, the interval between 8 and 9 is divided into 10 equal parts and each part is 1/10 or 0.1.
vPatty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.
Which choice represents the sample space, S, for this event?
S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}
the list S describes all possible outcomes of the event.
the fourth option
two will get choosen, and the order matters.
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cost of the camera, exclusive of the sales tax?
Divide the amount of tax by the rate of tax.
3.20 / 0.02 = 160
The cost of the camera is $160
If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.
What is sales tax?Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.
How to find cost?We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.
Sales tax=tax percentage*total price
3.20=2/100*total price
Total price=3.20*100/2
=$160
Price excluding sales tax=total price - sales tax
=160-3.20
=157.80
Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.
Learn more about sales tax at https://brainly.com/question/9437038
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Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include common errors to watch out for when using each of these methods.
Answer:
Overall vertical is visually better, if done correctly
it forces you to "line up" all the common exponents.
The disadvantage is that it usually requires re-writing the problem, and it takes up space.
most problems are presented horizontally, that becomes the issue to locate the common exponents.
in both cases the biggest issue is people forget
that when subtracting "subtracting a negative is like adding a positive"
-5x - (-8x) = 3x [that is a positive 3x]
or:
-7x
- - 10x
-------------
3x
everyone misses those eventually so you have to watch out for that in both methods
Step-by-step explanation:
HELP PLEASE ITS TIMED!!!
Answer:
[tex]y=\sqrt[3]{-x}[/tex] and [tex]y=-\sqrt[3]{x}[/tex]
Step-by-step explanation:
The 4th and last one
please help with math properties I need 5 and 8 :)
Answer:
Step-by-step explanation:
Statements Reasons
1. m∠A = 6x - 10 1. Given
2. m∠B = 2x 2. Given
3. m∠C = 8x - 2 3. Given
4. m∠A + m∠B + m∠C = 180° 4. Triangle sum theorem
5. (6x - 10) + (2x) + (8x - 2) = 180° 5. Substitution
6. 16x - 12 = 180 6. Algebra
7. 6x = 192 7. Addition property of equality
8. x = 12 8. Division property of equality
A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale
Answer:
65 and 25
Step-by-step explanation:
90=(5x+10)+(6x-41)
121=11x
11=x
Going back to the angles:
5(11)+10
=55+10
=65 this is the first angle
6(11)-41
=66-41
25 this is the second angle
HELPPPPPPPPPPPPPPPPPPPPPP
The answer is 0
Step-by-step explanation:
2(0)=0
6(0)=0
0+0=0
Answer:
0
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
For the x-values 1, 2, 3, and so on, the y-values of a function form
an arithmetic sequence that decreases in value. What type of
function is it?
A. Decreasing linear
ОО
B. Exponential growth
C. Exponential decay
d
D. Increasing linear
Answer:
A. Decreasing linear
Step-by-step explanation:
Find BC please help ASAP!!
A. 31.4km
B. 26.6km
C. 25km
D. 30.7km
Answer:
The choose (c)
C. 25km
Step-by-step explanation:
21²+14²=BC²
441+196=BC²
637=BC²
BC=25.2
BC=25 Km
Answer both please
Brainliest for correct
Answer:
28 centimeters a year, 5.5 years until 344 centimeters
Step-by-step explanation:
I did the calculations, forgive me if I am wrong.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
For 25) it's option C. -1/2
For 26) it's option D. 7π/6, 11π/6
Step-by-step explanation:
If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.
Answer:
-1/2
7π/6, 11π/6
Step-by-step explanation:
First problem:
31π/6 = 31/6 π = 5 1/6 π
A full circle is 2π radians. π radians = 180°
Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.
You end up at π radians, or 180°, or the negative x axis.
Now go π/6 radians more counterclockwise.
You end up at 7π/6 or 210°.
Read the y-coordinate of the point on the unit circle.
Answer: -1/2
Second problem:
Look in the figure of the first problem.
The sine corresponds to the y-coordinate.
Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.
They correspond to 7π/6 and 11π/6
PLEASE HELP ASAP
Find the length of the arc.
Answer Options:
A. 9π/2 km
B. 9π/3 km
C. 539π/12 km
D. 18π km
Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
Whitch number line represents all the values of x^2 = 64
Answer:
B
Step-by-step explanation:
8^2=64. -8^2 also =64.
Find LN given the mid-segment?
Answer:
LN=4
Step-by-step explanation:
Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. [tex]2*2=4[/tex]
Evaluate 16x if x = - 3.
Answer:
16×-3
-48
I hope it's helps you
Answer:
-48
Step-by-step explanation:
16(-3) = -48
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of Z3?
1/2
4/3
5/6 = 75°
7 8
Answer:
105
Step-by-step explanation:
angle 6 and 2 are equal
angle 2 lies on a 180 line with angle 3
180-angle 2 =angle 3
180-75=105
