Answers
Answer:
For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula
Step-by-step explanation:
The great pyramid of Cheops is a square based pyramid therefore we have;
V + F = E + 2
Where:
V = Vertices
F = Faces
E = Edges
Hence, we have for a square pyramid;
V = 5 vertices (One at the peak, and four at the base edges)
F = 5 faces (The four lateral or side faces and the base)
E = 8 edges ( The four lateral edges and the four base edges)
Hence;
5 + 5 = 8 + 2 which proves Euler-Descartes formula.
Related Questions
please respond with the format showed on the picture so use . after the letter and display the answer (summarized: answer with one of the answers on the picture
Answers
Answer:
B. 19
Step-by-step explanation:
35-16=19
write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST
Answers
Answer:
y = (3/2)x + 3
Step-by-step explanation:
slope is rise over run so 3 up and, 2 right
y-intercept is at (3,0)
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Answers
Answer:
[tex]\frac{7\pi}{4}[/tex].
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector = [tex]56\pi\text{ cm}^2[/tex]
Formula for area of sector is
[tex]A=\dfrac{1}{2}\theta r^2[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.
[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]
[tex]56\pi=\dfrac{64}{2}\theta[/tex]
[tex]56\pi=32\theta[/tex]
[tex]\dfrac{56\pi}{32}=\theta[/tex]
[tex]\dfrac{7\pi}{4}=\theta[/tex]
Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].
Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?
Answers
Answer:
4
Step-by-step explanation:
3,186/22= 144
144/36= 4
30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.
Answers
what is the answer to -12= -2x-4x
Answers
Answer:
x = 2
Step-by-step explanation:
-12 = -2x - 4x
-12 = - 6x
x = -12/(-6) = 2
Answer:
Step-by-step explanation:
What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4
Answers
Answer:
y ≤1
Step-by-step explanation:
The range is the output values
It has a max at 1 and can be any value below 1
y ≤1
Answer:
f(x) < 1
Step-by-step explanation:
Max y value on the graph is y = 1, hence the range is f(x)《 1
From the given options,
f(x) < 1
PLEASE HELP! Drag each tile to the correct box.
The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.
Answers
Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
The volume of a cylinder is 40 ft which expression represents the volume of O.C. one with the same base and height as the cylinder
Answers
The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?
3(40) ft³
3(1/40) ft³
1/3(40)ft³
1/3(40²) ft³
Answer:
The expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
Step-by-step explanation:
To find the expression that represents the volume of a cone with the same height and base as the cylinder, we will follow the steps below:
First write down the formula for calculating volume of a cone and volume of a cylinder
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
volume of a cylinder = πr²h
If the base are the same, this implies they have the same radius, and from the question, it states that they have the same height, hence;
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
from the question, the volume of the cylinder is 40 ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
= [tex]\frac{1}{3}[/tex] (40) ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (40) ft³
Therefore the expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
Solve the quadratic equation.
2x2 − 11x − 21 = 0
A) −
3
2
and 7
B)
3
2
and −7
C) −
2
3
and
1
7
D)
2
3
and −
1
7
Answers
Answer:
A) -3/2 and 7
Step-by-step explanation:
this equation factors to (2x+3)(x-7)
the goal is to solve for 0
if 2x+3=0 then x=-3/2
if x-7=0 then x=7
15)
Which expression is a PRODUCT?
A)
8(6+ 3)
B)
8
(6 + 3)
5(2) + 2(6 x 3)
D)
5(2 + 3) - 4(8 + 1)
Answers
Step-by-step explanation:
the answer is
A,72
B,739
D,-11
please help im having trouble with these problems
Answers
Answer:
B I think
Step-by-step explanation:
Subtract.
(5x-1)-(3xy+c)
Answers
Answer:
5 x − 1 − 3 x y − c
The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
The given expression is (5x-1)-(3xy+c)
The subtraction between them is
5x - 1 - 3xy - c
Thus, the subtraction would be 5x - 1 - 3xy - c.
Learn more about linear equations;
https://brainly.com/question/11897796
What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.
Answers
Answer:
The y-coordinate of the solution is -5.
Step-by-step explanation:
I graphed the equations on the graph below to find the solution of the system.
If this answer is correct, please make me Brainliest!
can someone explain the Pythagorean Theorem to me
Answers
Answer:
The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').
Step-by-step explanation:
What is a less than 16
Answers
Answer:
15 is a less than 16
Step-by-step explanation:
Answer:
What are the choices??
Step-by-step explanation:
what kind of polynomial is 2x^4-4x^2
Answers
Answer:
Binomial
Step-by-step explanation:
It has 2 terms in the expression
Answer: quadratic polynomial
Step-by-step explanation:
A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.
How many 9’s are there between 1 and a 100?
Answers
Answer:
20
Step-by-step explanation:
What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
Answers
Answer:
(x + 4)(x + 5)
Step-by-step explanation:
If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x
please help me, i wanna to move one to the next grade, 10 points
Answers
Answer:
D
Step-by-step explanation:
All the other answers are above $50 while D gives you $49.75.
Good luck!
Answer:
the answer is D
Step-by-step explanation:
because 46.25 plus 3.50 is equal to 49.65 so she can spend it without exceeding the limit
Determine the values of the variables in isosceles trapezoid CHLE below.
Enter numbers only, do not enter units.
Answers
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
A cube has an edge measuring 6 cm. Find its volume.
Answers
Answer:
216
Step-by-step explanation:
Hope this helps.
Answer:
Side of cube = 6 cm
Volume = side ^3 = 6^3 = 216 cm^2
Find the value of x in the figure. Enter the number ONLY!
Answers
Answer:
69
Step-by-step explanation:
From the moment the first car started how many hours will it take the second car to catch up to the first
Answers
Answer:
HELP
Step-by-step explanation:
2 2/3 Divided by 1/4
Find the quotient simplify if possible
Answers
Answer:
Step-by-step explanation:
make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2
8/3
8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)
[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]
32/3=10 2/3
The simplified version of this expression is 32/3.
Hope this helps !
find the missing angle in the triangle
Answers
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
HELP
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk
Answers
Answer:
=18.38cm
Step-by-step explanation:
The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .
Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.
We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,
so we have,
[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]
Now we can resume where we stopped with triangle AGC, and we have
[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]
=18.38cm
I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest
Answers
The correct answer is a translation.
A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.
I hope this helps :)
Answer:
translation
Step-by-step explanation:
Which polynomials are in standard form?
Answers
Answer:
Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.
Step-by-step explanation:
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answers
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
