The radius of the base of a cone is 4 inches. the slant height of the cone is 6 inches. which is closest to the surface area of the cone?

Answers

Answer 1
The answer should be 125.66 inches.

So you know two things, the radius and the slant height.

The formula you are going to use is SA=π•r^2+π•r•L

SA= Surface Area
r = Radius
L= Slant Height

So now you plug the variables into the formula.

[tex]\pi \times {4}^{2} + \pi \times 4 \times 6[/tex]
[tex]\pi \times 16 + \pi \times 24[/tex]
[tex]40 \times \pi = 125.66[/tex]
After just pick the answer closest to this one. And you should get the correct answer. :)


Related Questions

#2 The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 57 mushroom pizzas and 38 pepperoni pizzas. What percentage of the pizzas were mushroom pizzas?

Answers

60% of the pizzas were mushroom pizzas.
To find this, you add up 57 and 38 to find the total number of pizzas, then divide 57 (number of mushroom pizzas) by 95 (the total). This will give you 0.6, which you miltiply to get a percent. Thus getting 60% as the final answer.

I hope this helps!

To find the percentage of pizzas that were mushroom pizzas, you must divide the number of mushroom pizzas by the total number of pizzas. To find the total number of pizzas, we must add the number of mushroom and pepperoni pizzas together.

57 + 38 = 95

Next, we can complete our division.

57/95 = 0.6

Finally, we should multiply by 100. This is because to convert a decimal to a percentage, we must move the decimal point two places to the right so that this value is out of 100 total percent.

0.6 * 100 = 60%

Therefore, 60% of the total pizzas are mushroom.

Hope this helps!

Simple interest is calculated on the principal in an account using the formula I=prt. How much simple interest does $3,500.00 earn in 6 months at an annual interest rate of 2.5%?

Answers

Here, i = $3500*0.025*(1/2) = $43.75 in simple interest.

A cone and a pyramid have the same height and same volume. If the radius of the base of the cone is r, what is the side length of the square base of the pyramid?

Answers

let Vc : cone's volume, Vp : pyramid's Volume, r radius, h height. w width and l length.


Vc=πr²h/3


Vp=(lwh)/3

make it equal to each other and cancel out the 3.

πr²h = lwh 

heights will cancel out

πr²=lw

l=(πr²)/w


To find the side length of the square base of a pyramid with the same volume and height as a cone with radius r, one can use the volume formulas V = (1/3)πr²h for a cone and V = (1/3)a²h for a pyramid. Setting them equal and solving for a yields a = r√π, indicating that the pyramid's base side length is the cone's radius times the square root of π.

The student is asking for the relationship between the dimensions of a cone and a pyramid that have the same volume and height. Specifically, if we have a cone with a radius r, and we want to find the side length of a square base of a pyramid that also has the same volume and height as the cone.

The volume of a cone is given by the formula [tex]V = (\frac{1}{3}) \pi r^2h[/tex], where radius of the cone's base is denoted by 'r' and the height is denoted by 'h'. For a pyramid with a square base, the volume formula is [tex]V = (\frac{1}{3} )a^2h[/tex], where a is the side length of the square base and h is again the height.

Given that both volumes are equal, we can set the formulas equal to each other and solve for a: [tex](\frac{1}{3} )\pi r^2h = (\frac{1}{3} )a^2h[/tex]. The heights cancel out, and we can simplify the equation to solve for the side length a: a = r√π. Therefore, the side length of the square base of the pyramid is the radius of the cone's base times the square root of π.

Given the system of inequalities below: -3x - y < 12 and 2x + 3y ≥ 9

Answers

y>3x+12
y(less than or equal to)-2/3x+9

simplify. x-2/(x^2+4x-12)

Answers

Simplifying the above expression we shall proceed as follows:
x-2/(x^2+4x-12)
factoring out the denominator we get:
x^2+4x-12
=x^2-2x+6x-12
=x(x-2)+6(x-2)
=(x+6)(x-2)
thus our expression will be:
(x-2)/[(x+6)(x-2)]
simplifying the above we get:
1/(x+6)

Answer: 1/(x+6)

The area of a rectangle is represented by the expression 6x^3y^5. Which of the following could be the dimensions of the rectangle?
2xy^2 and 3x^2y^3

2xy^2 and 4x^2y^3

2x^3y and 3y^4

2x^3y and 3xy^4

Answers

It's the first and third one... I just took the practice test.

Answer:a&c

Step-by-step explanation:

Line Q is represented by the following equation: 2x + y = 11

Which equation completes the system that is satisfied by the solution (3, 5)? (4 points)


x + 2y = 15

x + y = 15

x + y = 8

x − y = 2

Answers

The answer is x + y = 8

The coordinates are (3,5) where 3 is the x coordinate and 5 is the y coordinate.

If you substitute (3,5) into x + y = 8

you'll get get 

3 + 5 = 8 which is true

Answer:

the Answer is x + y = 8 because 3 + 5= 8

Step-by-step explanation:

If it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?

Answers

the answer would be 79,500 because you would multiply 10,600 x 7.50 = 79,500..
For this problem, you must multiply 7.50 by 10,600, which equals $79,500 It would cost $79,500 to park all those cars! Hope this helps!

Andy currently runs a total of 12 miles each week. He plans to increase the number of miles he runs each week by 1.5 miles untill he is running a total of 26 miles each week. How many weeks will it take Andy to reach his goal?

Answers

D = 1.5n + 12
26 = 1.5n + 12
14 = 1.5n
It will take 9.333 weeks for andy to reach 26 miles, so at 10 weeks he will be running more than 26.
it would be in between 9 to 10 weeks because the answer is 9.333 repeating

A trait has two alleles, and their frequencies are represented by p and q. if p = 0.90, what is q?

Answers

The sum of the frequency is equal to 1.
 Therefore, we have the following equation:
 p + q = 1
 Substituting values we have:
 0.90 + q = 1
 Clearing the value of q we have:
 q = 1 - 0.90
 q = 0.10
 Answer:
 
The value of q is given by:
 
q = 0.10

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.


T.A. =


Answers

Hello,
Please, see the attached file.
Thanks.

Answer:

Step-by-step explanation:

a cooking show currently has about 223,00 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% per year. Which is the best prediction for the number of regular viewers the show will have in 6 years?
35,420
37,167
104,810
167,056

Answers

The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
 Pf = Po×(1-b) ^ t
 Where:
 Pf = final population
 Po = initial population
 b = decrease rate
 t = timpo in years
 So:
 Pf = 223.00×(1-0.047) ^ 6
 Pf = 167,056
 The answer is the last option.

Which is the first step in drawing a line graph?
A. Plot a point for each piece of data.
B. Draw x- and y-axes on graph paper.
C. Create a scale that covers the data range.
D. Draw a line of best fit to show a trend.

Answers

Answer:

B) Draw x- & y-axes on graph paper.

Step-by-step explanation:

You need a graph before you can create your line.

Mike has attempted 84 free throws. Of those attempted, 63 have gone in the basket. Based on this rate, what is the probability that Mike's next free throw attempt will go in the basket?

Answers

Final answer:

The probability that Mike's next free throw attempt will go in the basket is 75%.

Explanation:

To find the probability that Mike's next free throw attempt will go in the basket, we can use the ratio of successful attempts to total attempts. In this case, Mike has made 63 out of 84 attempts. So the probability can be calculated as:

Probability = Number of successful attempts / Total number of attempts

Probability = 63 / 84

Probability = 0.75

Therefore, the probability that Mike's next free throw attempt will go in the basket is 0.75 or 75%.

Shelly is installing a fence around the edge of her property. Her property measures 41 meters by 35 meters. What is the perimeter of Shelly's property?
A.142 m
B.152 m
C.1,420 m
D.1,435 m

Answers

It is D, Hope this helps!

The perimeter of Shelly's property is 152 meter.

Option (B) is correct.

It is required to find the perimeter.

What is rectangle?

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that:

The  Shelly's property is in the shape of rectangle.

Length of property=41 meter

Breadth of property=35 meter

Perimeter of rectangle=2(Length+ Breadth)

Perimeter of rectangle=2(41+ 35)

Perimeter of rectangle=2*76

Perimeter of rectangle=152 meter

Therefore, the perimeter of Shelly's property is 152 meter.

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A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground. What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

Answers

Final answer:

The area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.

Explanation:

Solution:

To find the area of the surface of the silo that will be exposed to rain, wind, and sun, we need to find the combined surface area of the hemisphere and the cylinder.

The radius of the circular base of the cylinder is half of its diameter, which is 10/2 = 5 feet.The height of the cylinder is 40 feet.The circumference of both the hemisphere and the cylinder is equal, so the circumference of the circular base of the cylinder is 2πr, where r is the radius of the base.The surface area of the hemisphere is equal to half of the surface area of a sphere with the same radius, which is 2πr²/2 = πr².The surface area of the circular base of the cylinder is πr².The surface area of the curved surface of the cylinder is the circumference of the base multiplied by the height of the cylinder, which is 2πr * 40.

Now, let's calculate:

Surface area of the hemisphere = π(5)^2 = 25π square feetSurface area of the circular base of the cylinder = π(5)^2 = 25π square feetSurface area of the curved surface of the cylinder = 2π(5) * 40 = 400π square feet

To find the total surface area, we add up the surface areas of the hemisphere, the circular base, and the curved surface:

Total surface area = Surface area of hemisphere + Surface area of circular base + Surface area of curved surface = 25π + 25π + 400π = 450π square feet.

Therefore, the area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.

TIMED, need the answer ASAP, will give brainiest

Answers

I think it's four?...

What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use pi= 22/7 and round your answer to the nearest tenth of a cubic centimeter.

Answers

Hello!

Formula for the volume of a cylinder: [tex]V = \pi r^{2}h [/tex]

Plug in the values and solve[tex] 12,127.5 = \frac{22}{7} * 10.5^2 * 35 [/tex]

The answer is 12,127.5. Hope I helped!


Answer: 12,127.5

Step-by-step explanation:EDGE2021

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. A. 44.4 cm, 11.1 cm B. 44.4 cm, 3.2 cm C. 11.1 cm, 4.9 cm D. 24 cm, 4.9 cm

Answers

it will probably be A Hopes This Helps.

Simplify: 8x - 4(2x - 5) - 2

Answers

Hey there!

[tex]8x - 8x + 20 - 2 \\ = 18[/tex]

Hope this helps. - M

Suppose it costs ​$15 to roll a pair of dice. you get paid 2 dollars times the sum of the numbers that appear on the dice. what is the expected payoff of the​ game? is it a fair​ game?

Answers

no. it is not a fair game because each roll is worth $15 and no matter what u roll, you won't get $15 or more so you'll just be losing money every time u roll

We can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is it costs ​$15 to roll a pair of dice and you get paid 2 dollars times the sum of the numbers that appear on the dice.

Assume that you get x and y value on dice 1 and dice 2 respectively. Then the equation representing the money recieved by a individual will be -

2(x + y)

The game will be fair if -

2(x + y) > 15

Now, for the sum of (x + y) = 7, the player will not have any profit. However, from (x + y) = 8, the players will start making profits. So, we can say it is a fair game, if your luck is not bad so far.

Therefore, we can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.

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Write the equation of a line that is parallel to y=-0.75x and that passes through the point (8,0)

Please help

Answers

Answer:

The equation of the line that is parallel to the given is equal to the expressions below:

[tex]\displaystyle \boxed{ y = -0.75(x - 8) \text{ or } y = -0.75x + 6 }[/tex]

General Formulas and Concepts:
Algebra I

Slope-Intercept Form: y = mx + b

m - slopeb - y-intercept

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinatey₁ - y coordinatem - slope

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyley = - 0.75x \\\text{Point } (8, 0) \\[/tex]

Step 2: Find Equation

Recall that a parallel line has the same slope as the one that is given. Therefore, we can define the slope of our parallel line to be m = -0.75:

[Point-Slope Form] Substitute in variables:
[tex]\displaystyle y - 0 = -0.75(x - 8)[/tex]Simplify:
[tex]\displaystyle \boxed{ y = -0.75(x - 8) }[/tex]

We can rewrite this form into slope-intercept form as well by expanding:

[tex]\displaystyle y = -0.75(x - 8) \rightarrow \boxed{ y = -0.75x + 6 }[/tex]

∴ we have found the equation of a line that is parallel to the given information.

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Topic: Algebra I

Answer:

what the guy above said

Step-by-step explanation:

HELP ASAP WILL GIVE BRAINLIEST

Answers

It should be zero solutions since the lines never intersect.

I mean it could also be viewed as if they intersect at every point so I'm sorry if its wrong (the M is slightly above the N so it should be parallel)

Its perpendicular if it only intersected at one point- 1 solution
If it intersects at every point- infinitely many solutions

The lines are parallel because they are side by side and have the same distance continuously between them. Please give me brainliest because I need one more to turn Virtuoso

A house on a floor plan is 10.5 inches long and 6.5 inches wide. If the scale used is 0.5 inch = 2 ft, how long is the actual house?

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 - The house on the plan is 10.5 inches long and 6.5 inches wide.
 - The scale used is 0.5 inch=2 ft

 2. Therefore, you have:

 0.5 inch-------2 feet
 10.5 inches--x

 x=10.5x2/0.5
 x=42 feet

 Therefore, the answer is: 42 feet long.
 

The equation of a circle is x2+y2-6y+1=0 what are the coordintes of the center and the length of the radius

Answers

the answers are follow

The coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.

What is a circle?

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.

The general form of the equation of the circle is given as:-

(  x  - h )²  +  (  y  -  k )²  =  r²

We have an equation:-

x²  +  y²  -  6y  +  1  =   0

x²  +  y²  -  6y  +  9  -  9  +  1  =   0

( x  -  0 )²  +  (  y  -  3 )²  =  8

By comparing the equation from the standard form we will get the centre ( 0,3) and the radius r = 2√2.

Therefore the coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.

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Need this geometry answer quick!

(I think its answer c but not sure)

Answers

180 is the answer....

angle B =50
angle C = 130

The graph models the daily high temperature, H(t), in Santiago, Chile, t days after the hottest day of the year. What does the point (0,29) represent?

Answers

Final answer:

The point (0,29) on the graph models the daily high temperature in Santiago, Chile on the hottest day of the year, where '0' represents that hottest day and '29' is the high temperature on that day.

Explanation:

The point (0,29) on the graph represents the weather condition in Santiago, Chile on the hottest day of the year. Here, '0' in the pair represents the day which is essentially the hottest day and '29' is the high temperature on that day. It depicts that on this specific day, the highest temperature was 29. The graph is an example of a time series graph, where the changing patterns or trends are displayed over a certain period of time - in this case, the temperature changes across the days following the hottest day of the year.

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What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 120? A. 720 B. 900 C. 1080 D. 180 E. 360 F. 540

Answers

Sum of the measures of the interior angles of a regular polygon is 180°, using properties of interior and exterior angle and regular polygon.

What is a regular polygon?

A regular polygon is a n-sided polygon in which all sides are of same length and are symmetrically placed about the center.

Properties of interior and exterior angles:

1. The sum of adjacent interior and exterior angle for a polygon is 180°.

2. The sum of exterior angles of a polygon is always equal to 360°.

Here,

Let's consider number of exterior angle=x

given that: each exterior angle measures 120°.

Now, using 2nd property,

         x*120 = 180

         x = 3

So, total number of exterior angles are = 3

Using 1st property,

each interior angle measures = 180 - 120

                                                  = 60°

And total number of interior angle = total number of exterior angle

                                                          = 3

So, the sum of interior angles = 3*60

                                                 = 180° .

Hence, we reached our answer.

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You bought 12 one-gallon bottles of apple and orange juice for a school dance. the apple juice was on sale for $1.00 per one-gallon bottle. the orange juice was $1.75 per one-gallon bottle. you spend $15.00. how many bottles of each type of juice did you buy?

Answers

For this case we first define variables:
 x: bottles of apple juice
 y: bottles of orange juice
 We write the system of equations:
 x + y = 12
 1x + 1.75y = 15
 Solving the system of equations we have:
 x = 8
 y = 4
 Answer:
 
you did buy: 
 8 bottles of apple juice
 4 bottles of orange juice

Can somone help me with this 1 problem? In the figure shown, △RST is an isosceles triangle with RS≅RT. Which is the measure of ∠T?

A.21°

B.40°

C.70°

D.110°

Answers

In an isosceles triangle, the angles opposite to the two equal sides are also congruent.
Based on your information, T and S are congruent. So we know that the measure of angle T is 3x+7. But we need to solve for x. Let's add all the angle values together and set it to 180 because the angles of a triangle sum to 180.
1) 2(3x+7) + 2x - 2 = 180
2) 6x + 14 + 2x - 2 = 180
3) 8x + 12 = 180
4) 8x = 168
5) x = 21
6) m<T = 3x + 7 = 3(21) + 7 = 63 + 7 = 70
I got C, but it is always helpful to double check work. Hope this helps!
Final answer:

In an isosceles triangle, base angles are congruent, meaning ∠R would equal ∠T. However, no angle measures are provided, making it impossible to determine the measure of ∠T with the given information.

Explanation:

The given figure is an isosceles triangle, triangle RST, where RS is congruent to RT. In an isosceles triangle, the base angles are congruent, meaning that they have the same measure. Therefore, if we know the measure of one of the base angles, we know the measure of the other. The problem, however, does not provide the measures for any of the angles. This makes determining the measure of ∠T impossible with the given information. We would need to know either the measure of angle R or S or the measure of the angle at the vertex, angle T, to find the measure of ∠T. Without additional information, we cannot definitively choose between options A, B, C, or D.

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