Answer:
good luck :)
Step-by-step explanation:
I am a 3D object.
I have four triangular faces and four vertices.
What am I?
Answer:
It is a tetrahedron.
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
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
Can someone please help me solve this problem
Step-by-step explanation:
Step 1: After adding 875 to both sides of the original equation, you get
[tex]x^2+10x+\text{ ----- }=875[/tex]
Step 2: b is the coefficient of the x term, so b = 10. Divide in half (always half for completing the square!).
[tex]\frac{10}{2}=5[/tex]
Square that result to get 25. That's c, the amount to add to both sides of the equation.
Step 3: Adding c to both sides produces
[tex]x^2+10x+25=875+25[/tex]
Step 4: The result of Step 3 is [tex]x^2+10x+25=900[/tex], and the left side factors as a perfect square.
[tex](x+5)^2=900[/tex]
Step 5: After taking square roots of both sides, you get
[tex]x+5=\pm 30[/tex] which represents "two equations in one."
Separate them.
[tex]x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35[/tex]
The grocery store sells kumquats for $3.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $14.
Answer:
3.75k + 2.25p = 14
Step-by-step explanation:
The cost from the weights of kumquats can be represented by 3.75k.
The cost from the weights of Asian pears can be represented by 2.25p.
Using the standard form equation, Ax + By = C, replace Ax and By with these terms.
Then, plug in 14 as C:
Ax + By = C
3.75k + 2.25p = 14
So, the equation is 3.75k + 2.25p = 14
10x^3/5x^2 2/x. 2x 2 x/2
differentiate with product rule
Answer:
[tex]{ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx} + u \frac{dv}{dx} }}}[/tex]
u = ( x + 1 )
v = ( 2x + 5 )²
[tex]{ \tt{ \frac{dy}{dx} = {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ = { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\ = { \tt{ \frac{dy}{dx} = {(2x + 5)}^{3}(4x + 7) }}[/tex]
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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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
Solve for x. Round to the nearest tenth, if necessary. 1.8 & x
Answer:
x ≈ 1.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{x}{1.8}[/tex] ( multiply both sides by 1.8 )
1.8 × sin50° = x , then
x ≈ 1.4 ( to the nearest tenth )
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.
using the graph, determine the coordinates of the roots of the parabola
Answer:
x = 1, x = 7
Step-by-step explanation:
The roots are the values of x where the graph crosses the x- axis
The graph crosses the x- axis at 1 and 7 , then
the roots are x = 1, x = 7
Answer:
(1,0) and (7,0)
Step-by-step explanation:
Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.
NEED HELP ASAP I HAVE 3 MINS
Answer:
Step-by-step explanation:
System of a equation has no solution when both the lines are parallel.
In other words, if the equations of a system have equal slopes there will be no solution.
1). x + 4y = 23
4y = -x + 23
[tex]y=-\frac{1}{4}x+23[/tex] ------(1)
-3x = 12y + 1
12y = 3x - 1
[tex]y=\frac{1}{4}x-\frac{1}{12}[/tex] -------(2)
Since, both the equations have different slopes, system will have at least one solution.
2). 2x + 4y = 22 -----(1)
-x = 2y - 11
-x - 2y = -11
x + 2y = 11
2x + 4y = 22 ------(2)
Since, both the equations are same, there will be infinite number of solutions.
3). 2x + y = 15 ------(1)
x = 15 - 2y
x + 2y = 15 -----(2)
Both the equations are different, therefore system of equations will have at least one solution.
4). 2x + y = 17 ------(1)
-4x = 2y - 34
-4x - 2y = -34
2x + y = 17 -----(2)
Both the equations are different, therefore, system of equations will have infinite solutions.
5). 3y = 10 - x
x + 3y = 10
2x + 6y = 20 -------(1)
2x + 6y = 7 ---------(2)
Since, both the lines are parallel (Same slopes), system will have no solution.
6). y = 13 - 2x ------(1)
4x - y = -1
-y = -4x - 1
y = 1 + 4x --------(2)
Since, both the equations are different, system of equations will have at least one solution.
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
If anyone knows the answer plz tell me, thank you
Answer:
A
Step-by-step explanation:
plug it in
(-3)^2+(4)^2=9+16=25
Answer:
[tex]\text{A) }x^2+y^2=25[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h, k)[/tex] and radius [tex]r[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex].
We're given:
The circle's center is at the origin (0, 0)The point (-3, 4) is on the circleSince we're given the circle's center, we just need to find the radius. Because the center of the circle is at (0, 0), the radius will be equal to the distance from (-3, 4) and (0, 0).
For points [tex](x_1, x_2)[/tex] and [tex](x_2, y_2)[/tex], the distance between them is given by the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex](x_1, y_1)\implies (0, 0)\\(x_2, y_2)\implies (-3, 4)[/tex]
The distance between these two points must be:
[tex]d=\sqrt{(-3-0)^2+(4-0)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=5[/tex]
Therefore, the radius of the circle is 5 and the equation of the circle is:
[tex](x-0)^2+(y-0)^2=5^2,\\\boxed{x^2+y^2=25}[/tex]
i Needdd helppp with this??
Answer:
B I'm thinking, I have to answer any question so I might be wrong here, also eat some salad it's nasty I know
Answer:
option c. ±[tex] \sqrt{65} [/tex]
Step-by-step explanation:
In the given right angled triangle we can see that :-
hypotenuse is 9 adjacent is 4 opposite is xby Pythagoras theorem
hypotenuse² = adjacent ² + opposite ²
9² = 4² + x²
81 = 16 + x²
combining like terms
81 - 16 = x²
65 = x²
x = ±[tex] \sqrt{65} [/tex]
−5.8c+4.2−3.1+1.4c helppppppp
Answer:
its 4
Step-by-step explanation:
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.
what is the square root of 25
the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!
-2b^2-18b^2
Help me. Plz
Answer:
[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]
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
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
Calculate the range Data Set 1 = 2, 9, 10, 4, 8, 4, 12
Answer:
10
Step-by-step explanation:
2, 9, 10, 4, 8, 4, 12
Put the data from smallest to largest
2, 4 , 4, 8,9, 10 ,12
The range is the largest number minus the smallest number
12 - 2 = 10
Find the surface area of the solid given the net
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
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.
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).
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
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:
