Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Use 3.14 for and round your answer to the nearest tenth of a foot. PLS HELPPP !

Tobias Is Constructing Barriers To Prevent Cars From Driving On A Bike Path. He Can Make Conical Pylons

Answers

Answer 1

Answer:

1.6 ft.

Step-by-step explanation:

Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:

Volume = πr²h/3

Therefore substituting gives:

Volume = π(1)²(2)/3 = 2π/3 ft³

Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.

Volume of sphere = 4πr³/3

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.


Related Questions

i put 10 points please help me with this

Answers

Answer: X=6  Y=4

x+y= 10

6+4=10

 x-y=2

6-4=2

Answer:

x=6

y=4

Step-by-step explanation:

Use an elimination method:

add equation 1 and 2 together.

2x = 12

divide both side by 2

x = 12/2

x = 6

use equal 1,

x + y = 10

y = 10 - x

y = 10 - 6

y = 4

All I need to know is what X is for this problem

Answers

Answer:

x = 19°

Step-by-step explanation:

We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.

=> ∠UTV ≅ ∠RTS

=> ∠UTV = 85°

=> ∠RTS = 85°

Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;

∠R + ∠T + ∠S = 180°

(3x) + (85°) + (2x) = 180°

5x + 85° = 180°

5x = 180° - 85°

5x = 95

x = 95/5

x = 19°

Hence, there is you're answer! x = 19°

Hope this helps!

I NEED HELP PLEASE IT WOULD HELP ME ALOT

Answers

Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

El agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura. Luego se embotella en bidones de 2.5 litros. ¿Cuántos envases se llenan con cada depósito?

Answers

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday

Answers

Answer:

We can conclude that the room temperature on Saturday was 24°C

Step-by-step explanation:

For a set of N values:

{x₁, x₂, ..., xₙ}

The mean of the set is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case, our set is the temperature of 7 days (so we have 7 elements)

{T₁, T₂, T₃, T₄, T₅, T₆, T₇}

Such that:

T₆ = temperature on Saturday

T₇ = temperature on Sunday.

We know that:

"The mean room temperature from Monday to Saturday is 25°C"

Then:

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]

"the mean room temperature of Saturday and Sunday is 28°C"

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

"The mean room temperature from Monday to Sunday is 26°C"

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]

So we have 3 equations.

Let's rewrite:

T₁ + T₂ + T₃ + T₄ + T₅ = A

Then we can rewrite our equations as:

[tex]\frac{A+ T_6}{6} = 25 C[/tex]

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]

Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:

A + T₆ = 6*25

T₆ + T₇ = 2*28

A + T₆ + T₇ = 7*26

We now need to solve that system for T₆

The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:

A = 6*25 -  T₆

A = 150 -  T₆

Now we can replace this on the other two equations:

T₆ + T₇ = 2*28

(150 -  T₆ ) + T₆ + T₇ = 7*26

Now, let's isolate T₇  in the top equation to get:

T₇  = 2*28 - T₆

T₇  = 56 - T₆

Now we can replace this in the last equation to get:

(150 -  T₆ ) + T₆ + (56 - T₆)  = 7*26

Now, we can solve this for T₆

150 - T₆ + T₆ + 56 - T₆ = 182

-T₆ = 182 - 150 - 56

-T₆ = -24

T₆ = 24

We can conclude that the room temperature on Saturday was 24°C

Which equation can be used to find mArc M N? mArc M N + 150 = 180 mArc M N + 150 = 360 mArc M N – 150 = 180 mArc M N – 150 = 360

Answers

Answer:

A: mArc M N + 150 = 180

Step-by-step explanation:

on edge2021!! hope this helps!!~

answer correct and fast

Answers

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

Simplify the expression. Write your answer as a power.5^8
5^5​​

Answers

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

Answer:

5^13

Step-by-step explanation:

5^8 = 390625

5^5= 3125

Since you have to write you answer as a power you would do 5^8+5^5= 5^13

I need the answer ASAP

Answers

Answer:

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

g^2+g^2=24^2

2g^2=576

g^2=576/2

g^2=288

g=[tex]\sqrt{288}[/tex]

g=12[tex]\sqrt{2}[/tex]

ES URGENTE me ayudan?

Answers

Answer:

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}[/tex]

Step-by-step explanation:

Given expression is,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3[/tex]

By solving the given expression,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{5}{6}\times \frac{5}{1})^{-1}+3[/tex]

                     [tex]=(\frac{25}{6})^{-1}+3[/tex]

                     [tex]=\frac{6}{25}+3[/tex]

                     [tex]=\frac{6+(25\times 3)}{25}[/tex]

                     [tex]=\frac{81}{25}[/tex]

PLS HELL
please tell me the answer and explain how you got it ty

Answers

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Hope this helps u don’t know how ur teacher thought this is how my teacher thought me

Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared

Answers

Answer:

13 ug

Step-by-step explanation:

Victoria is designing an image to be projected onto a screen. Her design is shown

below.

Victoria's Design

What is the total area, in square centimeters,

of Victoria's design?

8 cm

4 cm

4 cm

4 cm

10 cm

14 cm

146 centimeters squared

188 centimeters squared

118 centimeters squared

In ΔBCD, the measure of ∠D=90°, CB = 53, BD = 45, and DC = 28. What ratio represents the sine of ∠B?

Answers

Answer: 28/53

Step-by-step explanation:

trust me bro

The ratio that represents the sine of ∠B is 15/17.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that  ∠D=90°,

BD is the adjacent side and CB  is the hypotenuse side, DC is the opposite side

Hence ,Sin B = 15/17

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Find the Area of the figure below, composed of a rectangle and two
semicircles. Round to the nearest tenths place.
13
10

Answers

Answer:

[tex] 208.5 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.

[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]

calculate which number after an increase of 36%, is 170​

Answers

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)


can someone pls pls help me ?

Answers

Answer: Dime

Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.

50 + 25 = 75 cents.

75 + 10 = 85 cents.

A half-dollar + a quarter + a dime = 85 cents.

I hope this helps!

Why are the coordinates of the fountain? Show your work

Answers

Answer:did u ever get it

Step-by-step explanation:

What is the range of the function graphed below?

Answers

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Find each missing measure.

Answers

Answer:

m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

I agree the answer is 84...

Can someone give me the answer this question

Answers

Answer:

x = 16

Step-by-step explanation:

We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:

(Angle 1) + (Angle 2) = 180°

(8x - 10) + (62) = 180°

8x + 52 = 180

8x = 180 - 52

8x = 128

x = 16

Therefore, x = 16

Hope this helps!

what is 5 to the 3rd power

Answers

Answer: 125

Step-by-step explanation: 5•5•5

It’s 125. 5•5•5=125.

7. Emma buys a game for $26.84. She pays for the game with a $20 bill and two $5 bills. How much change should she receive? A $1.84 B $3.16 C $3.26 D $3.84

Answers

Answer:

the answer is D have a good day

Please help with this

Answers

Answer:

CORRECT STATEMENTS:

CD

Step-by-step explanation:

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?


Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.​

Answers

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Find the volume of this cone.
Use 3 for TT.
V = T12h
3
V ~ [?]in3
sin
3in
HELP
EMEEEEEE

Answers

Answer:

18 is the answer

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Need help ASAP and please don't be a scammer
Is this an enlargement or a reduction? How do you know?

Answers

Answer:

Reduction

Step-by-step explanation:

The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.

Find the volume and surface area of a sphere with a radius of 6cm.

Answers

Volume=904.78
Surface Area=452.39

You randomly roll a number cube (single die).

What is the probability that you roll a 4.

Group of answer choices

2/3

6

1/6

4/5

Answers

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

Please help!!! Will give brainliest to the first correct answer!

Answers

Answer:

a. (-4,8)

Step-by-step explanation:

the two lines intersect at this point

Factor and find the zeros of the relation.
(c.) y = 30x^2 + 44x + 16
(d.) y = 10x^2 +60x + 80

Answers

Answer:

Step-by-step explanation:

c.

y= 30x² +44x +16

factor

y= 2 (15x² +22x +8)

find zeros

15x²+22x+8=0

ax²+bx+c=0

x= (-b±√(b²-4ac))/2a

x= -22±√484-480/30 = -22±2/30 = -11±1/15

there are 2 zeros x= -10/15 ; x= -12/15

d.

y= 10x² +60x +80

factor

y= 10(x²+6x+8) = 10( x+2)(x+4)

finding zeros

x+2 =0 so x= -2

x+4 =0 so x= -4

there are 2 zeros x= -2; x= -4

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With voluntourism, however, participants often pursue experiences that are all about them. For example, they sign up to build a school for a gold star on their resume, but they have no real building skills and take jobs away from local construction workers (Schulten). Or, they arrive to teach English but instead take selfies with the locals. One world traveler and ethical voluntourist believes voluntourism "can perpetuate small minded views of the world by taking insulated, fake, and structured experiences and selling them as unabridged and eye opening" (Carlos). The voluntour experience is a mirage. The voluntourist's eyes are not opened to real life at the destination, and lasting change is not achieved.[4] If you want a genuine experience where you can see a lasting impact, there are better options than voluntourism. You can volunteer in your local community. Give an hour every week to your town's animal rescue. Serve monthly dinners to the homeless. Be a reliable, positive influence on a child who needs a mentor. Studies show that volunteering and forming lasting relationships with those you help has a positive impact on your physical and emotional health. In fact, blood pressure is reduced, memory is improved, and rates of depression are reduced (Michaels).[5] There is another reason to look into alternatives to voluntourism. Did you know the average "voluntour" travel package costs $3,400 (Rolfe)? Could that travel money be better spent? If the world's citizens are your passion, it could go to an international organization. If you care about education, your funds can be used to buy books for students in faraway lands. If you want villagers to have clean water, contribute funds to local efforts to dig wells. If you want to experience a different culture, travel to the country as a guest, and learn from the locals how you can best help them after you've returned home. 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