The volume of the cone is 50π cubic units .
What is a cone ?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
A cone has a circular base.
A cone has no edges, one face, and one vertex.
The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.
A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.
An oblique cone is one that doesn't have its apex precisely over the base's circle.
Radius of the cone = 5
Height of the cone is 6
Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.
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five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.
1) n less than or equal to 3
2) 3 less than or equal to n
3) n less than or equal to 8
4) 3 greater than or equal to n
Answer:
The worded problem translates to n ≤ 3
The options that are solutions to the problem are 1 and 4:
1) n less than or equal to 3, and
4) 3 greater than or equal to n (since 3 ≥ n)
Step-by-step explanation:
Let's translate the e=words into expressions:
"five plus two times a number n" becomes 5 + 2n
"is less than or equal to eleven" becomes ≤ 11
Put the two expressions together, with the word "is" and the "=" sign:
5 + 2n ≤ 11
Solving:
2n ≤ 11 - 5
2n ≤ 6
n ≤ 3
The options are:
1) n less than or equal to 3 Correct
2) 3 less than or equal to n Incorrect. 3 is greater than or equal to n
3) n less than or equal to 8 Incorrect. n is less than or equal to 3
4) 3 greater than or equal to n Correct 3 ≥ n
A woman can plait hair for 20 girls in 5
days. How long will it take her to plait
for 12 girls?
12 x 5 = 60
60 divided by 20 = 3
It will take her 3 days to plait 12 girls .
subtract x2+2x+1-(x-3)
Answer:
(x to the second power)+x+4
Step-by-step explanation:
Ur welcome
Which expression is the factored form of 2x^2 7x 3?
The factored form of quadratic equation 2x² + 7x + 3 is 2(x + 1/2) (x + 3)
A quadratic equation can be expressed in:
- Standard form: y = ax² + bx + c
- factored form: y = a(x - x₁) (x - x₂)
Here, x₁ and x₂ are the roots of the given function.
Suppose we are given a quadratic equation:
y = ax² + bx + c
To find the factored form, use the following properties:
x₁ . x₂ = c/a
x₁ + x₂ = - b/a
In this case, the quadratic function is:
y = 2x² + 7x + 3
We have to find x₁ and x₂ such that:
x₁ . x₂ = 3/2
x₁ + x₂ = - 7/2
Hence,
x₁ = - 1/2
x₂ = - 3
Therefore the factored form is:
y = 2(x + 1/2) (x + 3)
Your question is incomplete, but most probably your question was:
Which expression is the factored form of 2x² + 7x + 3?
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is the relationship between the variables in the table an inverse variation or a direct variation? write an equation to model it.
x= 2 6 7 14
y= 21 7 6 3
The relationship between the variables in the table is an inverse variation The equation to model is y = 42/x.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 8 is an equation.
We have,
x: 2 6 7 14
y: 21 7 6 3
Now,
When x = 2, y = 21
This can be written as,
y = kx
21 = 2k
k = 21/2
The equation is y = (21/2)x _____(1)
or
y = k/x
21 = k/2
k = 42
The equation is y = 42/x _____(2)
Now,
We will check which equation fits the table.
From (1)
y = (21/2)x
When x = 6,
y = (21/2) x 6 = 21 x 3 = 63
From (2),
When x = 6,
y = 42/6 = 7
When x = 7,
y = 42/7 = 6
When x = 14,
y = 42/14 = 3
This equation satisfies the table.
Thus,
The relationship is an inverse variation.
The equation is y = 42/x.
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Find the volume and round to the nearest hundredths place when necessary.
Answer:
7.2^2 = 51.84
51.84 x 3.14 = 162.7776(area of circle on bottom)
162.7776 x 17(height) = 2767.2192
2767.2192 divided by 3( x 1/3) = 922.4064
922.4064 rounded to the nearest hundredths place:
922.41 m3
Step-by-step explanation:
Formula of a cone:
base(area) x height x 1/3 (basically just dividing by 3)
Help
What is the angle measurement of the missing angle in the picture below?
Answer:
68⁰
Step-by-step explanation:
90 + 22 = 112
180 - 112 = 68
30PTS 30PTS don’t explain just answer
Answer:
y = 95°
Step-by-step explanation:
x + 120° = 180°
x = 180° - 120°
x = 60°
25° + y + x = 180°
25° + y + 60° = 180°
y + 85° = 180°
y = 180° - 85°
y = 95°
The graph of the function f(x)=ax^2+bx+c is given. Could the factors f(x) be (x+2) and (x-3)? Based on the graph, explain why or why not.
3. At the grocery store, three flavors of Cheerios are sold.
Flavor A is 20 ounces and costs $4.49. The unit rate is ------------- per ounce.
For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. The unit rate is------------------------ per ounce.
For Flavor C, the table below shows the amount paid per ounce. The unit rate is ---------------------- per ounce
Ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red. Write an equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used.
7. Let x represent the number of balloons used compared to y which is the number of red balloons.
10.
Review the keywords below. Find at least 2 words commonly used for "Rate of Change". Drag and Drop them to the box for "Rate of Change" to earn full credit.
The unit rate of flavor A is; $0.2245 per ounce
The unit rate of flavor B is; $0.20 per ounce
An equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used is; y = ²/₅x
How to find the unit rate?A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
We are given that Flavor A is 20 ounces and costs $4.49. Thus;
Unit rate of flavour A = $4.49/20 = $0.2245 per ounce
For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. Thus, the unit rate is $0.20 per ounce
Since ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red.
If x is the number of ounces, then the unit rate is 2/5 . Thus, the equation is; y = ²/₅x
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In Mohammad’s class, 80% of the students are boys. There are 24 boys in the class. What is the total number of students in Mohammad’s class?
Answer:
30 students
Step-by-step explanation:
80% of N = 24 where N is the total number of students
So
.80 N = 24
N = 24 / .80 = 30
sorry this was a late response
Find the domain and range of the graph
A. D: X ≤ 5
R: y ≤ 7
B. D: X ≤ 7
R: y ≤ 5
C. D : X < 5
R: y < 7
D. D: X < 7
R: y < 5
Domain
The set of x-values that can be inputted into function f(x)Range
The set of y-values that are outputted by function f(x)Interval Notation
ApplicationStep 1: DefineLet's organize what is given to us from the problem.
We are given a graph of a function.
Step 2: SolveWe need to analyze the graph to determine the domain and range of the graph.
If we take a look at our x values, we see that our graph starts at x = 3 and continues infinitely.
∴ we can write the graph's x-values as [3, ∞), or x ≥ 3.
⇒ The domain of the graph is equal to x ≥ 3.
If we take a look at our y values, we see that our graph begins at y = 1 and also continues infinitely.
∴ we can write the graph's y-values as [1, ∞), or y ≥ 1.
⇒ The range of the graph is equal to y ≥ 1.
Answer∴ the answer to the question is equal to:
A. D: x ≥ 3
R: y ≥ 1
___
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___
Topic: Algebra I
Unit: Functions
a stadium is filled to 80% capacity. If 2,560 people are in the stadium, how many people would fill the stadium to its full capacity?
2048 people would fill the stadium to its full capacity
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a stadium is filled to 80% capacity
There are 2,560 people are in the stadium
We need to find how many people would fill the stadium to its full capacity.
We have to convert 80% to decimal by dividing 2560 with 100
80/100
0.8
Now multiply 0.8 with 2560
0.8×2560
2048
Hence, 2048 people would fill the stadium to its full capacity
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Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth!
Given: Two triangle AGHI AJKL.
To find: measure of side JK and round the answer nearest tenth.
Solution: from figure
IH=5, GH=8,LK=16 from similarity rule
IH/LK=GH/JK
5/16 = 8/x
⇒5x=16x8
x=16×8/5
⇒x=25.6 or
x= 26 (nearest tenth), this is side JK
Definition of TriangleA triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.
Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.
Shape of TriangleTriangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.
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A car can travel 56 miles on 4 gallons of gas. How far can the car travel on 20 gallons of gas?
NO LINKS BOTS!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)| 0
2
4
6
10
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
0*.5+2*.2+4*.15+6*.1+10*.05= 2.1
The expected value of the winnings from a game is 2.1.
What is expected value?Expected value is used when we want to calculate the mean of a probability distribution. The weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value.
For the given situation,
Payouts, x = 0, 2, 4, 6, 10
Probabilities, P(x) = 0.5, 0.2, 0.15, 0.1, 0.05
The formula of expected value is [tex]E ( X ) = \mu = \sum [xP( x )][/tex]
⇒ [tex]E(X)=(0)(0.5)+(2)(0.2)+(4)(0.15)+(6)(0.1)+(10)(0.05)[/tex]
⇒ [tex]E(X)=0+0.4+0.6+0.6+0.5[/tex]
⇒ [tex]E(X)=2.1[/tex]
Hence we can conclude that the expected value of the winnings from a game is 2.1.
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Eight candy bars cost $6.00. How many candy bars cost $27.00?
Answer:
36 candy bars. (32 if sold in packs)
Step-by-step explanation:
We know that eight candy bars cost 6 dollars, and we purchased $27 dollars worth of them.
Therefore, we can use 27/6 = 4.5 to see how many packs/sets of candy bars we purchased. Since there are 8 in a pack/set, we do 8x4.5 = 36 to see we can purchase 36 candy bars. However, if you can only buy them in packs of 8, then you can only purchased 4 packs/32 bars since 6x5 = 30 and we only have 27 dollars.
Answer:
I pretty sure it's 36 Candy bars (i think)
Step-by-step explanation:
Multiple Choice
2. Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points.The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point. The second, third, and fourth points follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1
5
2
10
3
15
4
20
B.
Time (s) Height (m)
1
2
2
3
3
5
4
9
C.
Time (s) Height (m)
1
4
2
3
3
5
4
7
Multiple Choice
Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1
5
2
10
3
15
4
20
B.
Time (s) Height (m)
1
2
2
3
3
5
4
9
C.
Time (s) Height (m)
1
4
2
3
3
5
4
7
100 POINTS FOR ANSWERS AND EXPLANATION! PLS I NEED HELP ASAP! Thanks!
Answer:
Step-by-step explanation:
Choice A: t=1, h=5; t=2, h=10
Choice B: t=1, h=2; t=2, h=3
Choice C: t=1, h=4; t=2, h=3
ans is C as it fits the descriptions
Choice A: t=1, h=5; t=2, h=10; t=3, h=15
Choice B: t=1, h=2; t=2, h=3; t=3, h=5 <== non-linear
Choice C: t=1, h=4; t=2, h=3; t=3, h=5 <== non-linear
ans is A as it fits the descriptions
What are the 3 possible solutions for any quadratic?
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
quadratic equations
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).
factoring
factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
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Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. Add: 3a 3 8a - 6 and 4a 2 - 9a 11
Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.
The answer in descending powers of a is 3a³ + 4a² - a + 5.
A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.
Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11
(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5
The coefficients of a³, a², a and 1 is 3, 4, -1 and 5 respectively.
Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.
--The question is incomplete, answering to the question below--
"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.
Add: 3a³ + 8a - 6 and 4a² - 9a + 11"
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A farmer had 640 bag of maize each having a mass of 120kg .After drying the maize, the mass decreased in the ratio 15:16.calculate the total mass lost after the maize was dried?
Answer:
72,000kg
Step-by-step explanation:
So, we know that there are 640 bags.
Each bag has a mass of 120kg.
The mass shrinks at a ration of 15:16
So, we can think of the total mass as 120x640:
120*640
=
76,800kg
Next, we can think of the dried mass as 15/16 of the 76,800kg. This is because the dried ration was 15, and the orgninal ration was 16:
76,800/16
=
4,800kg
This isnt our end answer, next we have to multiply this by 15, to find the dried ration:
4,800*15
=
72,000kg
Hope this helps!
Solve for brainliest :P
Answer: x= 6 y= -3
Step-by-step explanation:
Answer:
x=-96/15
y=-3
Step-by-step explanation:
this is the correct answer for sure
Please help!!!! I'LL GIVE 5 STAR RATING AND A THANKS
Answer:
9.1
Step-by-step explanation:
For the first one, I just multiplied 4.55 and 0.5 by 2 somthey are proportional. Or divide distance by time!
Help ASAP need answer:)
Answer:
C. plot a point at the y-intercept
Step-by-step explanation:
Answer:
Its C hope this helps. byer
Find the area of a triangle that has a base of 10 inches and a height of 7 inches.
A) 8.5 in2
B) 17 in2
C) 35 in2
D) 70 in2
Also sorry for asking 2 questions in one day :'D
When merida divides her age by 3 and adds 5, the result is 9 which equation represents this situation where m is meridas age?
a/ 9= (m ~ 3) x 5
b/ m= (9 - 3 ) + 5
c/ m = (9~3) +5
d/ 9= (m~ 3) +5
When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5.
What is an equation?The link between two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.
The definition an equation in algebra is a mathematical expression that indicates the equivalence of two mathematical terms. In equation 6x + 11 = 14, for instance, the two expressions 6x + 11 and 14 are separated by the symbol "equal."
When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5, this represents the situation where m is Merida's age.
correct option: D
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I have no idea what to do can someone help
Answer:
k = 20
can i have brainliest
Step-by-step explanation:
what a quadrilateral with two sets of parallel lines that are Opposite sides are parallel.
There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .
Hope this helps!
What is the diameter of the circle?
A) 6 inches
B) 24 inches
C) 26 inches
D) 48 inches
Answer:
24 inches
Step-by-step explanation:
diameter = 2× radius
diameter =2×12
diameter =24 inches
Answer:
24
Step-by-step explanation:
multiply radius by 2 and you will get the diameter
The the radius is also Half diameter
I hope this helped!
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x+y,xy,y/x,y-x
16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6
smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest