If the surface area of the cone below is 628.32 m², find its volume.
I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS
Answer:
1586.91 m³
Step-by-step explanation:
From the diagram attached,
Applying,
A = πrl.................. Equation 1
Where A = surface area of the cone, l = slight heigth of the cone, π = pie.
make l the subject of the equation,
l = A/πr.............. Equation 2
From the question,
Given: A = 628.32 m², π = 3.14, r = 8 m
Substitite these values into equation 2
l = 628.32/(3.14×8)
l = 25 m
But,
l² = h²+r².................... Equation 3
Where h = height of the cone.
h = √(l²-r²)
h = √(25²-8²)
h = √(625-64)
h = √(561)
h = 23.69 m
Also Applying,
V = 1/3πr²h
Where V = volume of the cone.
Therefore,
V = (3.14×8²×23.69)/3
V = 1586.91 m³
What are the angles of x and y?
Answer:
x = 55
y = 70
Step-by-step explanation:
x = 180-125
= 55
y = 180-(55x2)
= 180-110
= 70
Feel free to mark it as branliest :D
-1+3cotx
How do I graph this?
Answer:
Step-by-step explanation:
Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =
Answer:
y=6
Step-by-step explanation:
the equation that relates x and y is y=30(1÷x)
Suck please help thanks
Help !!!!!!Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)
The required value that makes the inequality h ≤ 2 true are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Given that,
To Select the values that make the inequality h < 2 true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The values that are less than and equal to 2 are, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Thus, the required value that makes the inequality h ≤ 2 true are re, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Learn more about arithmetic here:
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A company's daily cost c, in hundreds of r dollars, to manufacture n items of a certain product can be modeled by the function c^-1(5)=80, Lording to the model, which of the following is the best interpretation of c ^1(5) = 80, where c^1 is the inverse function of c ?
a) The company's daily cost to manufacture 5 items of the product is $80.
b) The company's daily cost to manufacture 5 items of the product is $8,000.
c) The company's daily cost to manufacture 500 items of the product is $80.
d) The company's daily cost to manufacture 80 items of the product is $5.
e) The company's daily cost to manufacture 80 items of the product is $500.
Answer:
e) The company's daily cost to manufacture 80 items of the product is $500.
Step-by-step explanation:
We have that:
c is the cost in hundreds of dollars to manufacture n items. The input is the number of items, and the output is the cost, in hundreds of dollars.
Inverse function:
In the inverse function, the input and the output are exchanged from the original function, that is, in this situation, the input in the cost, in hundreds of dollars, and the output is the number of manufactured items.
c^-1(5)=80
Input of the inverse function is 5, which is the cost, in hundreds of dollars, that is, $500, to manufacture 800 itens. This means that the correct answer is given by option e.
What is the image of (-1, 1) when reflected across the line y = x?
Answer:
(1, -1)
Step-by-step explanation:
I can confirm that it is (1, -1)
Find the equation of the linear relationship.
Answer:
y = -3x + 150
Step-by-step explanation:
2 points on the graph:
(30, 60) and (40, 30)
Slope:
m=(y2-y1)/(x2-x1)
m=(30 - 60)/(40 - 30)
m= (-30)/10
m= -3
Slope-intercept:
y - y1 = m(x - x1)
y - 60 = -3(x - 30)
y - 60 = -3x + 90
y = -3x + 150
The radius of a cylindrical water tank is 4 ft and its height is 10 ft. What is the volume of the tank?
Answer:
160π cubic feet
Step-by-step explanation:
V= πr²h
V= π x 4²x 10
V = 160π cubic feet
The map slake reads 2 inches =25 miles which distance does 6 inches represent
Answer:
75 miles
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{25}{2} = \frac{x}{6}[/tex]
Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)
[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]
Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]12\frac{1}{2}\times6\\\\= 75[/tex]
Therefore, 75 is the distance in miles.
In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days
Answer:
48 soldiers leave the place.
Step-by-step explanation:
100/60=80/x100x=4800x=4800/100x=48hope it helps.
stay safe healthy and happy.An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month. The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met. Which of these is the most appropriate test and alternative hypothesis?
a) Paired t test with H : Mafter before > 0
b) Paired t test with H.: Hafier-before +0
c) Two-sample t test with H: Mbefore > Hafter
d) Two sample t test with H.: wore Manter
e) Two sample t test with H: Meedore Aladder
Answer:
a) Paired t test with H : Mafter before > 0
Step-by-step explanation:
As we do not know anything about variances we will perform a paired t test.
We want to check the effectiveness of the new program designed to increase the flexibility of senior citizens.
So we will perform a test where the mean after the program is greater than the mean before the program.
The best option is a.
Option a defines both objectives paired t test and difference of mean after and mean before is greater than zero.
Other options are not correct as they miss out one of the both objectives.
Which answers describe the shape below
Answer:
B. parallelogramStep-by-step explanation:
stay safe, stay healthy and blessed.
thank u
Answer:
a b c d e
Step-by-step explanation:
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
PLEASE HELP GUYS I’m being timed
The question is the base of the triangle, so we use the formula : b²=c²–a²
——————————————————————
[tex] {b}^{2} = \sqrt{c^{2} - {a}^{2} }[/tex]
[tex] {b}^{2} = \sqrt{ {16}^{2} - {8}^{2} } [/tex]
[tex] {b}^{2} = \sqrt{256 - 64} = \sqrt{192} [/tex]
[tex] \sqrt{192} =8 \sqrt{3} [/tex]
Please help me Simplify 1-9÷7+3
Answer :
the answer is -4/5 or -0.8
step-by-step explanation:
1-9/7+3 = -8/10
now simplify that,
-8/2 = -4
10/2 = 5
so we have -4/5 0r -0.8
Answer:
[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]
hope this helps you
Find the length of side b
B= _m
Answer:
b= 0.09475
Step-by-step explanation:
The difference of two times a number and five is eight more than the number.
find the equation and solve for x
Answer:
x = 13
Step-by-step explanation:
The difference of two times a number and 5: [tex]2x-5[/tex]
Eight more than a number: [tex]x + 8[/tex]
You can create the following equality with this:
[tex]2x - 5 = x + 8[/tex]
Which is solved as follows:
[tex]2x-5=x+8\\2x-x=8+5\\x=13[/tex]
Answer:X= 13
Step-by-step explanation:
Step 1:
Let the unknown number be x
Such that the difference of two times a number and five is represented mathematically as 2x -5
And eight more than the number can be expressed as
8 +x
Joining the two expressions to get an equation becomes 2x-5= 8+x
Step 2: Solving for x
2x-5= 8+x
We first find like terms and solve
2x-x=8+5
We are now left with
x=13 as the answer.
See related question and answer here: https://brainly.com/question/17882257
Huilan is 13 years younger than Thomas. The sum of their ages is 33. What is Thomas's age?
Answer:
Thomas is 20 years old
Step-by-step explanation:
33 - 13 = 20
Determine if these values form a right triangle. E
Answer:
They do not.
Step-by-step explanation:
a² + b² = c² c is the hypotenuse
9² + 12² = 17²
81 + 144 = 289
225 ≠ 289
Juan family hang their clothes outside to dry, if they use the dryer, there $400 monthly bill will increase by % wich means it will cost $700
A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth
Answer:
2 meters
Step-by-step explanation:
Given
[tex]a= 8m[/tex] --- initial
[tex]r = \frac{1}{2}m/year[/tex] --- rate
[tex]t = 12\ yrs[/tex]
[tex]Nail = 2m[/tex]
Required
The height of the nail after 12 years
The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.
This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.
Hence, the height of the nail after 12 years in 2m
Help please need answer now
Answer:
I'm getting the answer false
Step-by-step explanation:
See the steps below:)
The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?
x+3
x−3
x×3
x÷3
Answer:
C; x*3
Step-by-step explanation:
Solve the area
I hate geometry
Answer:
Step-by-step explanation:
Area of a llgm = base * height
Base = 20 ft.
Height = 10 ft.
Area = 20*10 = 200 ft.
Hope it helps u
Please mark as brainliest
Thank You
Answer:
200ft
Step-by-step explanation:
Area of a parallelogram is b*h .
base, b=20ft
height, h= 10ft
Therefore, area= 20*10=200ft
WILL GIVE BRAINLIEST
A number n, when divided by 4, gives –10. What is the value of n?
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Find the Volume.
10 points
7 m
5 m
4 m
Answer:
140 m^3 = 7 x 4 x 5
Step-by-step explanation:
Volume = H * W * L
Find the Surface Area of this Prism
Answer:
[tex]54 m^2[/tex] is the correct answer I believe
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.