What is the radius of a cone that has a lateral area of 70TT and a total surface area of 120TT?

A)50 units
B)50TT units
C)7.1 units
D)7.117 units

What Is The Radius Of A Cone That Has A Lateral Area Of 70TT And A Total Surface Area Of 120TT?A)50 UnitsB)50TT

Answers

Answer 1

Step-by-step explanation:

the lateral area of the cone is, well, the lateral area.

the total surface area of the cone is the lateral area plus the area of base circle.

so, the difference between both is the area of the base circle :

120pi - 70pi = 50pi

the area of a circle is

pi×radius²

and that is in our case

pi×radius² = 50pi

radius² = 50

radius = sqrt(50) = 7.071067812... ≈ 7.1 units

therefore, C is the right answer.


Related Questions

can anyone help me with this? 10th grade geometry

Answers

Answer:

In romania I was doing this in the 6th grade

Step-by-step explanation:

5.

A B and D C are parallel lines.

"slope" means inclination. and as you can imagine, parallel lines must have the same inclination, or they would not be parallel.

so, the slope of D C must be also 2/7.

4.

same thing as with 5.

both lines are parallel and must therefore have the same slope.

so, the slope of D C is also 3/4. and the first answer is correct.

What is the square root of 9

Answers

Answer: √9 = 3

Verification:

= 3 * 3
=> 9

find the domain and range

Answers

Answer:

Domain: all real numbers (all reals)

Range: y> OR EQUAL TO -2

Step-by-step explanation:

Hope this helps! ;-)

A company rents storage sheds shaped like rectangular prisms. Each shed is 11 feet long, 7 feet wide, and 12 feat tall. The rental cost is $3 per cubic foot. How much does it cost to rent one shed?​

Answers

Answer:

308

Step-by-step explanation:

so to find how much a rectangular prisim is by

length * with* height

11* 7 * 12

= 924 cubic feet

and then we just divid by 3

=308

Melissa Doubet's home is insured for 90% of its replacement value of $94,000, or
$84,600. Use the chart below to determine the amount of coverage for her personal
property.
Insurance Coverage Chart
Coverage
Percent of Coverage
Garage and other structures
15%
Loss of use
30%
Personal property
60%
O $51,276
O $47,328
$50,760
$49,970

Answers

Based on the percentage coverage for personal property, the amount of coverage for Melissa's personal property is $50,760.

What is Melissa's personal property coverage?

This can be found by the formula:

= Replacement value x Percentage of personal property coverage

Solving gives:

= 84,600 x 60%

= $50,760

In conclusion, Melissa's personal property coverage is $50,760.

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The dot plot below shows the hourly rate of some babysitters in a city:

A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.

Which statement best describes the shape of the data?

It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has gaps.
It is not symmetric and has a peak at $4.00.
It is symmetric and has a peak at $7.00.

*will mark brainliest*

Answers

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Step-by-step explanation:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

What is the area of the circle below if the area of the square is 36?

Answers

If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the square will be given as 36 square units.

Then the side length of the square will be

36 = a²

 a = 6 units

Then the diameter of the circle and side length of the square are equal. Then we have

a = d = 6 units

Then the radius of the circle will be

2r = d

2r = 6

 r = 3 units

Then the area of the circle will be

Area of circle = πr²

Area of circle = 3.14 x 3²

Area of circle = 28.26 square units.

More about the geometry link is given below.

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Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words long, and so far he has written 666 words. If he
only has 6 more days to write his paper and wants to write the same number of words each day, then how many words must he write per day to finish the paper?
A. 425
B. 389
C. 2,334
D. 889

Answers

Words left= (3000-666) words= 2334 words
6 days = 2334 words
1 day = 1 * 2334/6 = 389 words
Therefore the answer is B

Simplify radical expression

√10z^5 - z^2 √10z

Answers

Answer:

√10z^3(z - 1)(z + 1).

Step-by-step explanation:

The GCF is √10z* z^2

= √10z^3

So factoring we get

√10z^3(z^2 - 1)           The expression in brackets is difference of 2 squares so:

= √10z^3(z - 1)(z + 1)

A shop has 31 plant pots.
Some are blue, some are yellow and the rest are red.
There are five more blue pots than yellow pots.
There are four times as many blue pots as there are red pots..
Calculate how many pots there are of each colour.

Answers

Answer:

16 blue, 11 yellow, and 4 red

Step-by-step explanation:

Find the amount accumulated after investing m principal P for t and an internet rate compounded annually P=40500 r=3.8% t=20 k=12

Answers

The amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

What is an interest in banking?

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formula for calculating compound interest is expressed as;

A = P(1 + r/k)^(k*t)

Where A is final amount, P is initial principal balance, r is interest rate, k is  number of times interest applied per time period and t is number of time periods elapsed.

Given that;

Initial principal balance P = $40500Interest rate r = 3.8= 3.8/100 = 0.038Time t = 20 yearsNumber of times interest applied per time period = 12 (annually) = 12/12 = 1 Amount accumulated A = ?

A = P(1 + r/k)^(k*t)

A = 40500(1 + 0.038/1)¹ˣ²⁰

A = 40500 × (1.038)²⁰

A = 40500 × 2.10837

A = $85389

Therefore, the amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

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Two buildings are 96 ft apart . The first building is 164ft tall. The second building is 92ft tall. If a string is stretched between the top of the two buildings so that it forms a straight line from the top of one to the top of the other, how long would the string be

Answers

Answer:

120ft

Step-by-step explanation:

a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?

Answers

Answer:

yes

the area of a circle is πr^2

A=πr^2

which means the area of a circle is dependent on the size of the radius of the circle.

Take for instance, the radius is 3cm and π= 3.142

A = 3.142×(3^2)

A = 28.278cm^2

Another example, if the radius of the circle is increased to 4cm, what will be the area.

A = 3.142×(4^2)

A = 50.272cm^2

Round 82585 to the nearest ten thousand. Enter your answer in the box
below.

Answers

The answer to this is 80000

Find the area of EFGH

Answers

The area of triangle FGH that is similar to triangle ABC is: 8 square feet.

What is the Area of Similar Figures?

If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.

Therefore:

area of triangle EFG / area of triangle ABC = FG²/BC²

Plug in the values

area of triangle EFG / 18 = 2²/3²

area of triangle EFG / 18 = 4/9

area of triangle EFG = (18×4)/9

area of triangle EFG = 8 sq. ft.

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HELP PLEASE!!! Which shows how to find the value of this expression when x=-2 and y=5?

Answers

I think it’s B BECAUSE

PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA

Answers

Answer:

B. AA similarity postulate

5. Find the equation of the line that is perpendicular to the given line and passes through the given point. y = 5x-1; (-1, 1)​

Answers

Answer:

y = -0.2x+ 0.8

Step-by-step explanation:

If a line is perpendicular to another line then the slope of the line = the negative reciprocal of the other line

Here Line AB has the equation y = 5x - 1. Here slope = 5
This comes from the fact that if a line has the equation y= mx + c then the slope = m and the y intercept = c

If XY is the line perpendicular to AB then its slope = -1/5. Let the y intercept of XY be c

Then equation of line XY is: y = (-1/5)x + c = -0.2x + c (1)

Since it passes through (-1, 1) ie through x = -1, y=1, substitution these values into the above equation (1), we get

1 = (-0.2)(-1) + c or

1 = 0.2 + c or  

c = 0.8

Sorry it is hard to read, I’m using an iPhone 6 lol
Giving brainliest

Answers

Answer:

Domain: [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex]

Range: [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex]

Step-by-step explanation:

Factor the numerator and denominator

[tex]\displaystyle f(x)=\frac{x-6}{x^2-3x-18}\\ \\f(x)=\frac{x-6}{(x-6)(x+3)}\\\\f(x)=\frac{1}{x+3}[/tex]

Because the factor [tex]x-6[/tex] exists in both the numerator and denominator, then there is a hole at [tex]x=6[/tex] because the function is not continuous there. Additionally, because the denominator cannot be 0, [tex]x\neq-3[/tex], and there will be a vertical asymptote at the line [tex]x=-3[/tex].

Thus, the domain of the function is [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex].

Also, notice that because [tex]x\neq6[/tex], as the function gets closer to [tex]x=6[/tex], the function gets closer to [tex]\displaystyle f(6)=\frac{1}{6+3}=\frac{1}{9}[/tex], so [tex]\displaystyle y=\frac{1}{9}[/tex] is not included in the range.

Thus, the range is [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex].

How many three digit numbers can you make by arranging the numbers 5, 4, and 9.

Answers

okay,here is about a formula.

n=2x

where x is the numbers.

n=2×3

n=6.

therefore the three digit numbers which can be obtained is 6.

If an astronaut has a mass of 90 kg, and visits Jupiter which has a gravitational field of 25.3 N/kg, how much will he weigh there?
A. 115.3N
B. 64.7 N
C. 3.55 N
D. 2,277 N

Answers

Answer: 2277 Newtons

Step-by-step explanation:

I will show you how to do this the Physics way, so first we must write down our given values.


gravitational field = gravity = 25.3 N/kg

Mass of the astronaut = 90kg


Fun fact: know that if you convert the Newtons to a different unit, Newtons = kg (m/s^2) so we can say that instead of N/kg, we can write it as m/s^2 because if we divide kg(m/s^2) with kg, you’ll end with m/s^2

If you’re in physics, we always work with m/s^2 for every acceleration that exists. So we basically have 25.3 m/s^2 for gravity.


To find the weight, we can use the F=ma formula but rewritten as Weight = mass * gravity


Weight = (90kg)(25.3 m/s^2) = Option D = 2277 Newtons

may someone help me please?

Answers

Step-by-step explanation:

Radio=

Normal Price = K48.

Discount 20%

Selling Price


Need help for this please

Answers

the perimeter is about 82 yards

first, the perimeter of the rectangles is 30*2 = 60 (the 7 is not a part of the overall perimeter so we do not need to add it)

the "perimeter" (circumference) of the 2 semi circles = (22/7)*7 = 22by using the formula C = pi*d (2 semi circles of the same diamter = 1 circle)

now just add the 2 answers
22 + 60

= 82 yards

Select the correct answer. Consider the given function. 5, x < -2 3, 2 f(x) = 0, 0≤x≤2 -3, 2 Which graph represents the given function?

help!! ​

Answers

< or > = open circle≤ or ≥ = closed circle

⇒ open circle at (-2, 5) with a line to the left

⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)

⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)

⇒ closed circle at (2, -3) with a line to the right

At a store, Eva bought two shirts and five hats for $154.00. Nicole bought
three same shirts and four same hats for $168.00. What is the price of each
shirt? _____

Answers

$89.60

2s+5h=154
3s+4h=168

3s+4h=168
-3s -3s
4h=168-3s
\4 /4
h= 42-0.75s

2s+(42-0.75s)=154
1.25s+42=154
-42 -42
1.25s=112
/1.25 /1.25
s=$89.6

Please help, thank you! Image below

Answers

Answer:

The diameter divides a circle into fourths. (False)

The diameter is twice the length of the radius. (True)

The diameter is the distance around the circle. (True)

The diameter is a chord. (True)

The diameter passes through the center of a circle. (True)

The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!

Step-by-step explanation:

Hope this helps!

From your neighborhood softie. :)

Which expression is equivalent to 6^4 • 6^3?
(6•6•6•6)+(6•6•6)
(6+6+6+6)•(6+6+6)
(6•6•6•6)•(6•6•6)
(6•6•6•6•6)•(6•6•6•6)​

Answers

Answer: C)

Step-by-step explanation:


What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.

Answers

Answer:

horizontal line

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-6+6/-4-1

y2-y1 = 0

A Ferris wheel has a diameter of 60 m, with a minimum height of 9 m above the
ground. It takes 20 seconds for the Ferris wheel to complete one rotation. If a rider
boards a car when it is at its lowest point
O: What is the minimum height of the rider?

A: Minimum height of the rider is __ meters.

No Links Or I’ll Report You

Answers

By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.

How to analyze a Ferris wheel

The model of the height of a Ferris wheel is represented by a sinusoidal model, which is presented below:

h = A + B · sin ωt     (1)

Where:

A - Midpoint height, in meters. B - Amplitude, in metersω - Angular frequency, in radians per second.t - Time, in seconds

Sinusoidal functions are bounded functions, the minimum height of the Ferris wheel represents the lower bound of the function and the maximum height is the upper bound. Therefore, the minimum height of the rider is:

[tex]h_{min} = 39\,m - 30 \,m[/tex]

[tex]h_{min} = 9\,m[/tex]

By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.

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Starting time: Elapsed time: 50 minute Ending time: 9:05 A.M.
[tex]help[/tex]

Answers

Answer:

8:15 am.

Step-by-step explanation:

So the starting time will be 50 minites before 9:05 am.

That will be 9:05 - 50

=  9:00 - 45

= 8:15 am.

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