work out the volume of the cone,giving your answer to 3 significant figures

Answers

Answer 1

The volume of the cone is 1, 139. 49 cm³

How to determine the volume

Height of cone = 17cm

Base of cone = 16cm

Diameter = 16cm

Radius = diameter/2 = 16/2 = 8cm

Formula for volume of a cone = [tex]\pi r^{2} \frac{h}{3}[/tex]

Substitute the values

Volume = [tex]3. 142[/tex] × [tex]8[/tex] × [tex]8[/tex] × [tex]\frac{17}{3}[/tex]

Volume = [tex]201. 088[/tex] × [tex]5. 67[/tex]

Volume = 1, 139. 49 cm³

Thus, the volume of the cone is 1, 139. 49 cm³

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Work Out The Volume Of The Cone,giving Your Answer To 3 Significant Figures

Related Questions

Given that y = 12 cm and 0 = 45°, work
out a rounded to 1 DP.

The diagram is not drawn accurately.
X
cm

Answers

The value of x is 8.5 cm

How to solve for x?

The complete question is in the image

The given parameters are:

y = 12 cm

[tex]\theta = 45^o[/tex]

The value of x is calculated using the following sine ratio

[tex]\sin(\theta) = \frac xy[/tex]

This gives

[tex]\sin(45^o) = \frac x{12}[/tex]

Multiply by 12

[tex]x = 12 * \sin(45^o)[/tex]

Evaluate

x = 8.5

Hence, the value of x is 8.5 cm

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I NEED HELP QUICK!!!

Triangle ABC is transformed to triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle CAB = The measure of angle C prime B prime A prime
The measure of angle BCA = The measure of angle A prime B prime C
The measure of angle CAB = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle C prime A prime B prime

Answers

The equation that shows the correct relationship between the measures of the angles of the two triangles is;

Option D: The measure of angle BCA = The measure of angle C prime A prime B prime

How to Interpret Objects Transformation?

We are told that Triangle ABC is transformed to triangle A′B′C′.

Now,  the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;

From the given coordinates, we can say that;

∠BAC = ∠B'A'C'

∠ABC = ∠A'B'C'

∠ACB = ∠A'C'B'

Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;

The measure of angle BCA = The measure of angle C prime A prime B prime

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Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 4r and height 4h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?

Answers

Answer:

The surface area of Cylinder B is 16 times the surface area of Cylinder A

Step-by-step explanation:

Note: It is assumed we are looking at  the total surface area (but the answer would be same for both cases)

Given

Cylinders A with radius - r, height - h,Cylinder B with radius - 4r, height -  4h.

To find

The ratio of total surface areas of cylinder B to A

Solution

Total surface area of cylinder A is:

[tex]S_A = 2\pi r(h + r)[/tex]

Total surface area of cylinder B is:

[tex]S_B = 2\pi(4r)(4r + 4h) = 8\pi(4)(r + h) = 32\pi(r + h)[/tex]

Find the ratio of areas:

[tex]\cfrac{S_B}{S_A} =\cfrac{32\pi(r+h)}{2\pi(r+h)} =16[/tex]

Please help! I can't figure this out, i'll give a brainliest

Answers

The linear equation that best fits the data is: y = 10x + 15.

How to Write the Linear Equation of a Data?

First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.

Using two points on the graph, (1, 25) and (2, 35), find the slope (m):

Slope (m) = (35 - 25)/(2 - 1)

Slope (m) = 10/1

Slope (m) = 10

Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b

25 = 10(1) + b

25 - 10 = b

b = 15

Substitute m = 10 and b = 15 into y = mx + b

y = 10x + 15

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Let $m$ be a positive integer such that $m$ has exactly 5 positive divisors. How many distinct prime factors does $m$ have

Answers

If m has exactly 5 positive divisors then there can only be one prime factor.

According to statement

m has exactly 5 positive divisors AND

Let A^p,B^q,.... are the possible factors of integer m then

assume that p and q ≥ 1.

then the number of possible divisors cannot be 5 because there are no two integers  p, q ≥ 1, such that (p +1)(q + 1) = 5

So, If m has exactly 5 positive divisors then there can only be one prime factor.

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look at image............

Answers

Answer:

f(x)=2x-3

Step-by-step explanation:

cause fir example if you put x=2 the y became 1.

Please help ASAP
Please help ASAP
Please help ASAP
Please help ASAP

Answers

Substituting L = 7.29,

[tex]t = 2.01 \sqrt{7.29} \approx \boxed {5.4}[/tex]

Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.

Answers

Step-by-step explanation:

7. A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, , and her running speed, in miles per hour, when she runs:
a. at a constant speed of 4 miles per hour for the entire 30 minutes.

Answers

The relationship between the distance she runs in miles, , and her running speed is Distance = speed * time

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The distance travelled in 30 minutes is:

Distance = speed * time = 4 mph * 0.5 h = 2 miles

The relationship between the distance she runs in miles, , and her running speed is Distance = speed * time

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If m ∠4 = m ∠5, then r||s. Summarize the postulate or theorem that makes this a true statement.
can someone please explain how to solve this

Answers

The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.

What is the Converse of Corresponding Angles Theorem?

Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.

Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.

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Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the rectangle.

Answers

When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

[tex]x\propto \frac{1}{y} [/tex]

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

[tex]\therefore x \propto \frac{1}{y}[/tex]

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

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simplyfy it -25 + 14 ÷ (5 – 3)​

Answers

Step-by-step explanation:

-25 + 14 ÷ (5-3)

= -25 + 14 ÷ (2)

= - 25 + 7

= - 18

Your equation

[tex] - 25 + 14 \div (5 - 3)[/tex]

Solving

[tex] - 25 + 14 \div (2)[/tex]

Dividing the terms.

[tex] - 25 + 7[/tex]

Answer = -18

Hope it helps you!

Which expressions represent exponential decay? Check all that apply.

900(0.05)t
700(0.9)x
53(1.75)(0.3)x
90(1.2)t
300(2.4)(1.2)y
2x2 + 9
18 – 3y

Answers

The expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and  53(1.75)(0.3)^x

How to determine the expressions?

An exponential function is represented as:

y = ab^x

The above means that options (f) and (g) are not exponential functions

When b is less than 1, then the function is an exponential decay.

From the list of options, we have:

900(0.05)^t => b = 0.05

700(0.9)^x => b = 0.9

53(1.75)(0.3)^x => b = 0.3

Hence, the expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and  53(1.75)(0.3)^x

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ILL MARK BRAINLIEST HELP PLS I NEED THE ANSWER TO 9 and 10

Answers

Answer:

28. Y=1x+c

29. -2/3x+c

Hope it helps :)

Select the correct answer.
What are the domain and range of f(x) = -log5(x + 2)?
A.
domain: x > -2; range: all real numbers
B.
domain: x > 2; range: all real numbers
C.
domain: x > -2; range: all positive real numbers
D.
domain: x > 2; range: all positive real numbers

Answers

The correct option is A.

domain: x > -2; range: all real numbers

Which is the domain and range of the given function?

Here we have a logarithmic function.

Remember that the argument of a logarithm must be larger than zero, in this case the argument is:

x + 2

So we must have:

x + 2 > 0

x > -2

Then the domain is:  x > -2.

And the range of any logarithmic function is the set of all real numbers.

Then the correct option is A.

domain: x > -2; range: all real numbers

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Which of the following situations involve opposite quantities combining to make 0?

·Krista has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday.

·Carlyns opens a new checking account with $30. His first purchase, made with his new debit card, totals $28.

·Bekzod makes 1.5 liters of lemonade and drinks it all during the afternoon.

·Daisy is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages.

Answers

Bekzod makes 1.5 liters of lemonade and drinks it all during the afternoon. This is the only one of the examples given that would ultimately equal zero.

The black graph is the graph of y= f(x). Choose the equation for the red graph
a. y=f(x+3)
b. y=f(x-3)
c. y+3=f(x)
d. y-3=f(x)

Answers

Answer:

[tex]D[/tex]

Step-by-step explanation:

Notice that the red graph does not globally differ from the black graph: it would have been approximately the same one unless it had been displaced by 3 units up. Therefore, it was only the ordinate axis that underwent our change: [tex]y - 3 = f(x) \Leftrightarrow y = f(x) + 3[/tex].

Answer:

C

Step-by-step explanation:

What term is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model

Answers

Multicollinearity is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model.

Multiple linear regression refers to a statistical technique that is used to predict the outcome of a variable based on the value of two or more variables. It is sometimes known simply as multiple regression, and it is an extension of linear regression. The variable that we want to predict is known as the dependent variable, while the variables we use to predict the value of the dependent variable are known as independent or explanatory variables.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the entire set of predictors predicts the outcome variable, but it might not provide accurate information about any particular predictor or about which predictors are redundant with respect to another predictor.

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HELP QUICKKK What is the difference between –4 and 6?
–10
–2
2
10

Answers

Answer:

10

Step-by-step explanation:

Plugin your answer: -4 + 10 = 6

Answer:

10

Step-by-step explanation:

What is the product of the matrices [tex]\left[\begin{array}{ccc}-3&3&0\end{array}\right] \left[\begin{array}{ccc}-3\\5\\-2\end{array}\right][/tex] ?

Answers

Answer:

24

Step-by-step explanation:

(-3 * -3) + (3*5) + (0 * -2) = 24

Members of the band sold juice and popcorn at a college football game to raise money for an
upcoming trip. Each juice bottle sold costs $2.50, and each container of popcorn sold costs
$1.25.

a. write an equation to represent how much money was made
b. be sure to specify what the variables represent.

Answers

Answer:

2.50x+1.25y=z

Step-by-step explanation:

Let the number of juice bottles = x

And the number of containers of popcorns=y

And the total number of juice bottles and containers of popcorns=z

Total number of juice bottles=x times $2.50

Total number of containers of popcorn= y times $ 1.25

equation; 2.50x+1.25y=z

Pls help me with the answer , ty

Answers

Using it's concept, the equivalent expression for the perimeter of the figure is:

2 + 3x2 + 4x2 + 5x2 + 8

What is the perimeter of a figure?

The perimeter of a figure is given by the total length of it's boundary.

Hence, for the figure given in this problem, the perimeter is:

2 + 3 + 3 + 4 + 4 + 5 + 8 + 5

2 + 3x2 + 4x2 + 5x2 + 8

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PLEASE HELPPPP!
Susan's calculator has a key that replaces the number displayed with its cube. If a² is displayed, how many times must Susan press the " cubing" key to display a number that is greater than 10?

Please explain it step-by-step! Also, I will give you a brainlist!!

Answers

Answer:

10

Step-by-step explanation:

This is because you would have to start with 109 = 23x

then solve it using logarithms

Then once you get the x value, it becomes

X>_10__(whatever number you found)

Please help ill give whoever answers the best the brainliest answer

Answers

the third chart i think


.
help me please gang

Answers

Answer:

Not similar

Step-by-step explanation:

There is only one side and one angle, which insufficient to prove triangle similarity.

The following figure shows a square-based pyramid.
5
6
Which expression represents the surface area of the pyramid?
Choose 1 answer:

Answers

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of  pyramid = sum of individual area of the surface

Surface area = (2 * 2) + 4(0.5 * 2 * 3)

The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)

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A room has a length of 8 m. A scale diagram is drawn of the room. In the diagram, the room has a length of 1 cm. What is the scale of the diagram? Give your answer as a ratio in the form 1 : k , where k is an integer.

Answers

The scale of the diagram as described in the task content is; 1: 8 where k= 8.

What is the scale of the diagram?

It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.

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Missing value of why worth 20 points pls help

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The value of x, y and z is 90°, 53°, and 100°, respectively.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

In ΔABD is made on the diameter of the circle, therefore, the measure of ∠BAD = 90°. Therefore,

x° = 90°

In ΔAOD, the measure of ∠AOD is 74°, also, the triangle is an isosceles triangle with OA and OD of equal length. Therefore, the sum of the angles can be written as,

y° + y° + 74° = 180°

2y° = 106°

y = 53°

Similarly, ΔBOC is an isosceles triangle with OB and OC having an equal length. Therefore, ∠OBC=∠OCB. Also, the sum of all the angles can be written as,

∠BOC + ∠OBC + ∠OCB = 180°

∠BOC + 40° + 40° = 180°

∠BOC = 100°

Hence, the value of x, y and z is 90°, 53°, and 100°, respectively.

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number 8. use the Steps in the construction to determine which statement is true

Answers

Answer:

choice C

Step-by-step explanation:

The circle is circumscribed because circles drawn on the outside is known as circumscription. The circle is clearly outside touching the three vertices of the triangle.

HELP FAST!! PLEASE will give brainliest!

Answers

Answer:

22

Step-by-step explanation:

3*sqrt 25 + 7

3*5 + 7

15+7

22

Other Questions
As the economy grew during the Gilded Age, many workers and their familiesbecame wealthier as their income increased.continued to have low incomes and could not escape poverty.earned a higher income and continued working in factories.continued to have low incomes but were able to live more comfortably. The mean GPA for 127 residents of the local apartment complex is 1.6. What is the best point estimate for the mean GPA for all residents of the local apartment complex PLS HELP!!A Three-Point TurnChapter 1"You know, hardly anyone ever needs to do a three-point turn anymore," said Justin, trying to help Becky calm down."Oh, so it's not a useful skill AND I am probably going to fail the driving test because I can't do it anyway," Becky said, raising her voice for emphasis. "That should make me feel like a million bucks when I flunk."Justin was riding with Becky so she could take her driving test. He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference."Slow down, your turn is coming up here," he said, looking ahead."I know, I know," she replied, "I've been here before rememberthe last time I flunked."Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety."Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought."Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate.""Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time."You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?""I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.Chapter 2Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. It was Justin who got the bad grades in school, and Justin who had to repeat every math class he'd ever taken. It was Justin who wished he could get the grades Becky got. Some things came easier for Justin: He was athletic, handy with tools, and good at making the best of whatever life threw at him. Mom called him her "lemons into lemonade" kid. But for the most part, Becky succeeded easily, whereas Justin had to work and work to just get a passing grade.Rather than having Becky catalogue all the things she supposedly "failed" at, Justin decided to try an alternative approach, one that wouldn't remind him of all the ways he had failed."Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" he asked."I would be the oldest kid at school without a license and be humiliated," she replied. Justin thought he heard a bit of panic in her voice but continued with his plan."Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked."Yes, but..." she started."And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?""Yes," she said quietly."So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?""I suppose not," she said.Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm."Ow," she said, hitting back at him, "that hurt.""So let's go do this, okay?"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. Justin noticed, as they waited for the traffic to clear, that she had remembered the turn signal.Read the line below from Chapter 1:"I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."In the rest of the story, readers learn that Becky's fears are about things other than failing. Write a short essay explaining how the dialogue develops these fears. As long as firms currently in the market are earning profits, firms will enter the market with products that are very close substitutes until existing firms are earning an economic profit of HELP? - MEAN, MEDIAN, AND MODE!!The Bryants are moving to a new town and want to know about how much it will cost them to buy a house. The prices of five homes sold last week in the town were $125,500, $130,000, $132,500, $135,000, and $350,000. 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