Answer:
V = 8796.45 [tex]cm^3[/tex]
Step-by-step explanation:
Given data :
A lamp shade is in the form of a frustum of a cone.
The upper diameter of the cone, r = 10 cm
The lower diameter of the cone, R = 20 cm
The height of the frustum, h = 12 cm
Therefore, the volume of the frustum of cone is given by :
[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]
Putting the values, we get
[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]
[tex]$V=4 \pi[400 + 200+100]$[/tex]
[tex]$V=4 \pi[700]$[/tex]
V = 8796.45 [tex]cm^3[/tex]
Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]
HELLPPP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
The Letter B
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
11, 8, 11?
A.10
B. 11
C. 12
D. none of the above
Answer:
11
Step-by-step explanation:
mode is the number that is most frequent
11
Answer:
11
Step-by-step explanation:
Mode means the highest repeated observation in the data set,
Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set
What is the purpose of using a scatterplot? Check all
that apply.
O to organize bivariate data
to plot points to connect a line
to plot points for two sets of data
O to compare dependent and independent variables
O to visualize relationships between data
O to find slope between two variables
Answer:
to organize bivariate data
to plot points to two sets of data
to compare dependent and independent variables
to visualize relationships between
Step-by-step explanation:
Order the following numbers from least to greatest.
Put the lowest number on the left.
Answer:
-4, -1, 0, 4
Step-by-step explanation:
[tex]\boxed{ -4 }[/tex] < [tex]\boxed{ -1 }[/tex] < [tex]\boxed{ 0 }[/tex] < [tex]\boxed{ 4 }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
The negative numbers [tex]\sf\purple{-4}[/tex] and [tex]\sf\purple{-1}[/tex] are placed on the left side of 0 as they are smaller than 0.
Unlike positive numbers, the negative numbers decreases as we keep moving to the left. Therefore, -1 is greater than -4.
➺ Negative numbers < 0 < Positive numbers.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Please help me!It's urgent! I beg you guys
Answer:
y = -13
Step-by-step explanation:
y = 3x - 1 equation(i)
2x - y = 5 equation(ii)
now substitute the value of y in equation(ii)
2x - y = 5
2x - (3x -1) = 5
2x - 3x + 1 = 5
-x = 5 -1
-x = 4
x = -4
again substitute the value of x in equation (i)
y = 3x - 1
y = 3*-4 - 1
y = -12 - 1
y = -13
Perform the transformations
Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
Put these numbers in order from greatest to least.
0.32,1/2,0.66, and 0.45
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Answer:
27583.78 s
Step-by-step explanation:
Use the orbit equation to get v, then v=distance/time to get time.
Correct on Acellus
Which inequality is true? Please help!
Answer:
second one
Step-by-step explanation:
4[tex]\pi[/tex] = 12.56
that's greater than 12
Elena paga por su recibo de teléfono S/. 132,80 y de luz S/. 75,20. Si 3 meses del año pagó igual. ¿Cuánto pagó por este tiempo?
Answer:
Por 3 meses Elena pagó $624.
Step-by-step explanation:
Elena paga por su recibo de teléfono $ 132,80 y de luz $ 75,20. Por lo que, para obtener lo pagado por Elena en ese mes por sus recibos se debe sumar ambos importes:
132,80 + 75,20= 208
Entonces en ese mes Elena pagó $208.Si 3 meses del año pagó el mismo importe, entonces debes multiplicar $208 por 3.
208*3= 624
Entonces, por 3 meses Elena pagó $624.
What is the product on this Brainly test
Answer:
I have no clue to be honest
Assignment
1
Which is rational?
a. 64
b. 17
C. 67.714819...
22. Which is irrational?
a. 75.106
c. 101
Identify each of the following as Rational or Irrational.
3 -42
4 65.4279
5
98
16
6
25
7 57.013013..
8
18.44333777...
9
-139.04
24
10
Consider function h. Complete the statements describing the y-values of function h.
1. The end behavior of function h is described by (an oblique, no, or absolute) asymptote.
2. The range of function h is all y-values (less than or equal to 4,1,-4, or 0) and (greater than 1, 0, -4, or 4)
Answer:
1) The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.
2) The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.
Step-by-step explanation:
1) The end behavior of the function is defined by a horizontal asymptote, that is the values of [tex]y[/tex] when [tex]x[/tex] tends to [tex]\pm \infty[/tex]. Answer: The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.
2) The range of the function is the set of values of [tex]y[/tex] associated with the function. The existence of two vertical asymptotes give the following solution for the range: [tex]Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty)[/tex] Answer: The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.
Dr. Cal Coolis wants to determine which of three e-learning packages leads to the most improvement in mathematical ability. Sixty high-achieving students from a local school volunteer to test the software. Twenty randomly chosen students use each package for six months, after which their improvement in mathematical ability is measured and compared. In designing this experiment, Dr. Coolis violated the guiding ethical principle of
Answer: justice
Step-by-step explanation:
The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.
In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.
So I am rolling a standard dice once. Is rolling 3 or 4 mutually exclusive events? Please help me understand this.
Please help me answer this
Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30
whoever answer this first gets 30 points
Answer:
-3x+30
Step-by-step explanation:
[tex]4\left(x+7\right)-7x+2[/tex]
Expand [tex]4(x+7)= 4x+28[/tex]
[tex]4x+28-7x+2[/tex]
Simplify [tex]4x+28-7x+2[/tex]
[tex]-3x+30[/tex]
Solve the following system:
-2x + 2y + z = 14
3x – 2y +z = -5
-x + y - 2z = -8
PLEASE HELP
Answer:
Read explanation
Step-by-step explanation:
Use elimination
Add them all up
y = 1 ( everything else cancels )
-2x + 2(1) + z = 14
3x - 2(1) + z = -5
-x +(1) - 2z = -8
simplify
-2x + z = 12
3x + z = -3
-x -2z = -9
U can't use elimation because it would turn into 0 = 0
change last equation
x + 2z = 9
x = -2z + 9
plug that in
-2(-2z+9) + z = 12
3(-2z+9) + z = -3
-(-2z+9) - 2z = -9
4z - 18 = 12
-6z + 27 + z =-3
2z - 9 - 2z = -9
simplify
4z = 30
-5z = -30
0 = 0
z = 6
y = 1
x = -3
Help me find the slope please guys
Im struggling
Answer:
negative 1
Step-by-step explanation:
[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]
the 2 points: (-2,0), (-3,1)
(1-0)/(-3+2)
=-1
m=-1
brainliest please
HELP HELP HELP HELP HELP HELP
Answer:
148 Degrees
Step-by-step explanation:
32-180=148
148+32=180
please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!
Answer: I am sorta answering this on my alt, just move along
Step-by-step explanation:
The whole lenght is the short length 9 and the long length 18 added.
how many joules of work are done against a cart when a force of 50N pushes it 1000m anway
Can y’all please help me which equation has an infinite number
Answer:
B
Step-by-step explanation
: )
The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions
Answer:
no solution
Step-by-step explanation:
y = x+1 and y = x + 2 don't touch because they are parallel
if you don't know what parallel means, just search it up, but i can explain it to you:
parallel means same slope or same steepness of line
Help me thanks bsbsbs
Answer:
4.56, 4,65, 5,46, 5.64, 6.45 and 6.54
Step-by-step explanation:
start with the whole number and find the smallest one!
It would be 4 then find the number with the smallest amount
Keep doing this to all of the numbers
Please help!!
The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?
Answer:
[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]
Step-by-step explanation:
We can use slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So:
[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]
We are given that this equals 1/8. Therefore:
[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]
Solve for w. Cross-multiply:
[tex]-4(1)=8(4-w)[/tex]
Distribute:
[tex]-4=32-8w[/tex]
Isolate:
[tex]-8w=-36[/tex]
So:
[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]
Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
AnswerAverage pay per hour 19.15
Step-by-step explanation:
1750 + 2% = 1785 pay increase
1785 x 12 months = 21420 a year
21420 divided by 52 weeks in a year averages to 411.92 weekly
Divide 411.92 by the 45 hours of work is 19.15 per hour
Brainliest please, if correct.
Evaluate the expression below 6^-3
I guess the question you have typed is wrong
Answer:
Step-by-step explanation:
6^{-3}
[tex]=\frac{1}{6^3} \\=\frac{1}{216}[/tex]
if line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?
Answer:
what do the lines look like
Step-by-step explanation: