Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
[tex]V=\dfrac{1}{3}\pi (6)^2(9)[/tex]
[tex]V=\pi (36)(3)[/tex]
[tex]V=108\pi[/tex]
Therefore, the volume of the figure is [tex]108\pi[/tex] sq. units.
Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?
Answer:
D on edge 2020
Step-by-step explanation:
the coordinate point is at (-1, 1.75)
The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The complete question is:
Which graph represents 2(cos(2π/3)+i sin(2π/3))?
The graphs are in the picture, please refer to the picture.
We have a complex number;
= 2(cos(2π/3)+i sin(2π/3))
= 2(cos120 + i sin120)
= 2(-0.5 + i 0.866)
= -1 + i 1.732
The point is (-1, 1.732)
Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
Learn more about the complex number here:
brainly.com/question/10251853
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Ever ran 3 miles.he stopped to take a break every 3-4 mile.
Answer:
Im pretty sure 3 times
Step-by-step explanation:
Can i get branliest and heart
Have a good day!
I'm right in Clare eponymous and lemonade on the street they have to recipes to choose from Emma's recipe called for the juice of five lemons and two cups of water close recipe calls for the juice of 2 lemons and what were the first breast recipe taste more lemony
Answer:
1234567
Step-by-step explanation:
What is the value of 4.32 times 10?
Answer:
43.2
Step-by-step explanation:
4.32 x 10 = 43.2
Answer:
easy
4.320
Step-by-step explanation:
YOU WILL GET 40 POINTS! AND BRAINLY FOR WHO EVER IS TE FIRST CORRECT ONE!!!!!!!!!!!!!!!!
Answer:
Ok so
Step-by-step explanation:
1st one is Infinte
2nd one is one soultion
3rd one is not
4th one is Infinte
5ht one is no
Hewo :>
:> 2(x-5) = 2(x-5) is infinitely
:> 5(x+4) = 5(x-6) is no solution
:> 5(x+4) = 3(x-6) is one solution
:> 4(x-2)=4(x+2) is infinitely
:> x+2(x-5)=3(x-2)-4 is no solution
Have a nice Kawaii day :>
Plz help me I’m stuck plz
Answer:
ok step bro are you stuck let me help
Can someone answer all of them please ;-;
[tex]\LARGE\leadsto\sf m \angle E=41°[/tex]
[tex]\LARGE\leadsto\sf m \angle F=41°[/tex]
No-9:-[tex]\LARGE\leadsto\sf m \angle T=60°[/tex]
[tex]\LARGE\leadsto\sf m \angle V=30°[/tex]
No-10:-[tex]\LARGE\leadsto\sf m\angle G =75°[/tex]
[tex]\LARGE\leadsto\sf m \angle H=60°[/tex]
[tex]\LARGE\leadsto\sf m \angle J=45°[/tex]
What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
-3
Prism vs. Pyramid
10
HM
9
O
Prism Volume (cubic units)
9
10
Answer:
the slope is 3
Step-by-step explanation:
PLEASE HELP ME WITH THIS!!!!!!
Answer:
D, 48 inches.
Step-by-step explanation:
The scale is 2 inches to 9 feet, so we need to divide the feet by 9. That equals 24 so then we multiply that by two which gives us 48 inches.
Jennifer’s mom is putting a basketball hoop on the garage. The garage door is 8 feet high. There is 7 feet of wall between the top of the garage door to the garage roof. How far down from the garage roof should the hoop be placed so that it is 10 feet above the ground?
a) 3
b) 5
c) 4
d) 2
Answer:
B
Step-by-step explanation:
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
Answer:
To find out which one is the better buy we have to find out what the unit price of each one is. To find a unit price you divide the ounce by the cost.
Step-by-step explanation:
5/90=18 cents
12/240=5 cents
the 12 ounce can is less per ounce so the 12 ounce can is the better buy.
Find the slope of the line tangent to the curve 3 x^2 y + cos(y) = (√3 + π)/2 at the point ( − 1 , π/6 ) .
Answer:
fuhghoierhfoqierhf
Step-by-step explanation:
adding fractions with unlike denominators
someone help me with this
Answer:
-30 is the right one if u need help tell me ;)-
Step-by-step explanation:
:)
Round to the nearest whole number and cluster to give an estimate for 15.23 + 12.8 + 4.93 + 7.21.
Answer:
the answer is 40
Step-by-step explanation:
15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40
Answer:
40
Step-by-step explanation:
15.23 + 12.8 + 4.93 + 7.21
27.31 + 12.34
39.65
round the number to a whole number
40
Perimeter of a rectangle is 72 inches. The width is twice
the lenth. What is the width and length?
Answer:
24″ width, 12″ length. Let the length be X inches, then width is 2X inches, giving perimeter 2(X+2X)=6X inches, which is 72″. hence X, length =12″, and width 24″. The perimeter of a rectangle is 64 m.
Step-by-step explanation:
There ya go,
Answer:
36
Step-by-step explanation:
72 divided by four because its perimeter and you get 18 on each side since the width is double then you would do 18x2 and get 36.
Felix want to work out how much it costs him to use his tumble dryer.
The tumble dryer uses 1.9 units of electricity to dry one load of washing.
Felix dries four loads of washing each week.
He pays 12.8p for every unit of electricity he uses.
Work out the weekly cost, in pence, of using the tumble dryer.
Please help
multiple choice
picture included
will appreciate it if you help!
Answer:
D
Step-by-step explanation:
The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!
What are the x and y intercept.
Answer:
x-intercept is 6 y-intercept is -3
Step-by-step explanation:
It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.
5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
A spherical balloon is being inflated with helium at a rate of 20π cm3/min. How fast is the balloon's radius changing when the radius is 1 cm?
Answer:
5 cm/min
Step-by-step explanation:
A spherical balloon is being inflated with helium at a rate of 20π cm³/min.
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)
Differentiate equation (1) wrt t as follows :
[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]
Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt
[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]
So, the radius of changing at the rate of 5 cm/min.
Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is of:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
A spherical balloon is being inflated with helium at a rate of 20π cm3/min, hence [tex]\frac{dV}{dt} = 20\pi[/tex]The radius is of 1 cm, hence [tex]r = 1[/tex].Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]
[tex]\frac{dr}{dt} = 5[/tex]
The radius is changing at a rate of 5 cm/min.
A similar problem is given at https://brainly.com/question/14004755
Help please it’s supposed to be turned in
Answer:
30 i believe
Step-by-step explanation:
hope this helps. i say 30 because thats the only common multiple in those numbers :P
Help me quickkkk please
Answer:
with? i dont see any pic
Which expression has a value of -22?
Answer:
−5 ⋅ 2 − 12
Step-by-step explanation:
Complete the statement
66.4mg = g
66,400
6.64
0.0664
6,640
Answer:
1 g = 1000 mg
⇒ 1 mg = 1/1000 g
1 mg = 0.001 g
Answer the following questions based on the graphic given below.
The person casts a shadow ___ feet long.
The building casts a shadow ___ feet long.
The ratio of the person’s shadow to the building’s shadow is ___ to ___.
If the other side of the building is 10 feet tall, the person will be ___ feet tall.
Answer:
The person casts a shadow 3 feet long.
The building casts a shadow 15 feet long.
The ratio of the person’s shadow to the building’s shadow is 1 to 5.
If the other side of the building is 10 feet tall, the person will be 2 feet tall.
(I'm not sure what the last question meant by "the other side of the building". I assume it means the height of the building? 2 feet tall seems a bit short for a person though, but that would be correct since the building's height is 2/3 of the shadow's length, and 2/3 of the person's shadow length, 3, is 2 feet)
The building, the person and their shadows form a right triangle; The texts that complete the blanks are 3 feet long, 15 feet long, 1 to 5 and 2 feet tall.
What is a right triangle?A right triangle is a triangle that has an angle of 90 degrees
From the question, we have the following highlights:
Person's shadow = 3 feetBuilding's shadow = 15 feetSo, the ratio of the person’s shadow to the building’s shadow is
Ratio = 3 feet : 15 feet
Simplify
Ratio = 1 : 5
When the building's height is 10 feet, we have:
Person : 10 feet = 1 : 5
Multiply by 2 feet
Person : 10 feet = 2 feet : 10 feet
By comparison, we have:
Person = 2 feet
Hence, if the other side of the building is 10 feet tall, the person will be 2 feet tall.
Read more about right triangles at:
https://brainly.com/question/2437195
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Can someone check if my friend did it right?
Answer:
3 mi : 5 mi or 3 mi/5 mi
Step-by-step explanation:
Answer: it’s 3/5 (fraction form)
Hope this helps :)
Step-by-step explanation:
Put the first number on top and the second on the bottom, then simplify them.
hellllllllpppppppppppppppppppppp
Answer:他の答えを別の答えに移すことができ、それからミーズビルへの答えを得ることができるとき、それは数学の問題だと自分に言い聞かせてください。
Step-by-step explanation:there
The quotient of a number and -2/3 is -9/10. What is the number?
Answer:
It's 0.6
Step-by-step explanation:
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H