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 !
Answers
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
Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a tip of 15% on the total amount of the bill. How much money did the entire bill come to including the tip?
Answers
Answer:
About $48.39
Step-by-step explanation:
Sales tax only applies to the bill, not the tip.
Calculate the sales tax:
38.96 × 8%
38.96 × 0.08
3.1168
Round to the nearest cent:
3.12
Add the sales tax to the bill:
38.96 + 3.12
42.08
Calculate the tip based "on the total amount of the bill:"
42.08 × 15%
42.08 × 0.15
6.312
Round to the nearest cent:
6.31
Add the tip to the rest of the bill:
42.08 + 6.31
48.39
Factor and find the zeros of the relation. (18 marks)
(a.) y = 6 x^2 + 5x − 4
(b.) y = 4x^2 – 64
Answers
Answer:
(a.)
=(6x^2-3x)+(8x-4)
=3x(2x-1)+4(2x-1)
=(2x-1)(3x+4)
zeros are x=-4/3, x= 1/2
(b.)
=4(x^2-16)
=4(x+4)(x-4)
zeros are x= -4 and x= 4
Step-by-step explanation:
please help ill give brainlest or whatever omg
Answers
Answer:
Step-by-step explanation:
Hi,
I cannot see the options but for vertical compression you need to have values of a that are 0<a<1, then the graph will be compressed.
For example, if we have g(x)= 1/2 x^2 will be compressed by factor of 1/2.
Phoebe invested $5800 and after one year the investment was worth $6100. How much interest did she receive?
Answers
Answer:
Amount of interest received by Phoebe = $300
Step-by-step explanation:
Given:
Amount Phoebe invested = $5,800
Amount Phoebe received after one year = $6,100
Find:
Amount of interest received by Phoebe
Computation:
Amount of interest received by Phoebe = Amount Phoebe received after one year - Amount Phoebe invested
Amount of interest received by Phoebe = 6,100 - 5,800
Amount of interest received by Phoebe = $300
To print tickets, a printer charges a $30 setup fee plus $1.05 per ticket. Write an algebraic expression for the cost of t tickets. What is the cost of 300 tickets?
an explanation 2 plz thx
Answers
Answer:
Solution given:
we have
setup price =$30
as rate for 1 print tickets =$1.05/tickets
so
for t
t=$30+$1.05*t
is a required expression.
the
cost of 300 tickets:
300 tickets =$30+$1.05*300=$345
$345is the cost of 300 tickets.
HElp asap PLZZZZZZZZZZZZ!!!!!!!!!!!!!!!!
Answers
[tex] \huge{ \mathcal{ \underline{ Answer }\: \: ✓ }}[/tex]
The given figure is a sphere :
[tex] \boxed{ \mathrm{volume = \frac{4}{3}\pi {r}^{3} }}[/tex]
[tex] \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4[/tex][tex] \dfrac{5632}{21} [/tex][tex]268.1 \: \: mi {}^{3} [/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
Help please thank you I have 1 more question-after this sorry for all the questions
Answers
Answer:
A - 6 units from the y axis. B - 5 units form the x axis. C - 8 units from T to V.
Step-by-step explanation:
So lets go over each question.
A asks for how many units point W is from the y axis. The y axis is the vertical line that goes up and down in the middle of the graph. This line is at x=0.
So we can think of the units between W and the y axis as the distance between W's x coordinates and 0.
In this case, we can see W's x coordinate is at 6.
So this means that W is 6 units from the y axis.
Next we have the distance between the x axis and point U.
The x axis is the line that goes left to right, and is at y=0.
We need to look at the y coordinate of U to find the difference between y=0 and U.
We can see that U is at y=5 on the graph.
So U is 5 units from the x axis.
The last question is the distance between point V and T.
We can see that the x coordinate for both points is x=2.
However, their y coordinates are different.
To find the difference, subtract the y coordinate of one point from the other.
In this case, the y coordinate of V is 5. The y coordinate of T is -3.
So lets see:
v-t=difference of y.
Plug in the values:
5--3
And since the negative sign and the minus sign cancel out:
5+3
=
8
So the difference in y is 8!
Hope this helps!
What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3
Answers
Step-by-step explanation:
[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]
In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?
Answers
Answer:
40/41
Step-by-step explanation:
From the given diagram;
BA is the hypotenuse = 41
AC is the opposite = 9
CB is the adjacent = 40
Cos<B = adjaccent/hyp
Cos<B = CB/BA
Cos<B = 40/41
Hence the required ratio is 40/41
The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which of the sets of times below matches the given box plot?
Answers
Answer:
B.) 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
Step-by-step explanation:
From the box plot, we can obtain the 5 - Numbe summary and compare with the values in the options given :
Kindly note that each tick mark on the box plot is seperated by a unit of 0.25
Minimum = 0 (starting point of left whisker)
Lower quartile = 0.25 (start point of box)
Median = 0.5 (point in between the box)
Upper quartile = 1.25 (end point of the box)
Maximum = 2.5 (end point of right whisker)
In ascending order we have ;
0, 0.25, 0.5, 1.25, 2.5
The data which best matches the plot is 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.
how many of each type of stamp does lily have? enter the answers in the box.
lily has ____ U.S . stamps and ____ foreign stamps.
Answers
Answer:
foreign stamps = 299
US stamps = 353
Step-by-step explanation:
Let number of foreign stamps be x.
Given she has 54 more U.S stamps than foreign , US stamps = x +54
Total stamps = US + Foreign
652 = x + 54 + x
652 - 54 = 2x
598 = 2x
x = 299
The marginal cost function for manufacturing perfume is given by c(x) = 7x + 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10.
A.
$56
B.
$57
C.
$62
D.
$67
Answers
Answer:
A. $56
Step-by-step explanation:
the change of cost =
[7(10) + 28] - [7(2) + 28] = 98-42=56
Please helppppppppp
Answers
Answer:
I don't really get what the question is asking but 865 with an exponent of 2 times 865 with an exponent of 3 is 484,262,162,790,625
Step-by-step explanation:
Hope this helped <3
write an inequality to express the relationship between -8 and -13
Answers
last assignment that i have due in math
Answers
Answer:
[tex]456\ m^2[/tex]
Step-by-step explanation:
In order to find the surface area of a 3-dimensional figure, one must find the 2-dimensional area of all of its faces, then add up the values to find the surface area of the entire figure. The given prism is drawn out in the form of a net, thus, it is rather easy to find the area of each face, and add up the area to find the surface area.
The lateral surface area refers to the surface area of a figure, not including the base of the figure. In this case, the base is the largest rectangle: the one with the dimensions of the following length
[tex](12)*(18)[/tex]
Use the following formulas to find the surface area of each face:
Rectangle: [tex](length)(width)[/tex]
[tex](10)(18)=(180)[/tex]
[tex](10)(18)=(180)[/tex]
Triangle:[tex]\frac{(base)(height)}{2}[/tex]
[tex]\frac{(12)(8)}{2}=48[/tex]
[tex]\frac{(12)(8)}{2}=48[/tex]
Add up all of these values to find the total surface area:
[tex](180)+(180)+(48)+(48)=456[/tex]
Please help I dont get it
Answers
Answer:
I think it’s 14 sorry if it’s wrong
Step-by-step explanation:
what is 4x+3(2x-4)=x
Answers
Answer:
x = 4/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4x + 3(2x - 4) = x
Step 2: Solve for x
[Distributive Property] Distribute 3: 4x + 6x - 12 = x[Addition] Combine like terms: 10x - 12 = x[Subtraction Property of Equality] Subtract x on both sides: 9x - 12 = 0[Addition Property of Equality] Add 12 on both sides: 9x = 12[Division Property of Equality] Divide 9 on both sides: x = 4/3Answer:
x = 1.33
Step-by-step explanation:
4x + 3(2x-4) = x
-4x -4x
3(2x-4) = -3x
Distribute 3 to (2x-4)
6x - 12 = -3x
-6x -6x
-12 = -9x
/-9 /-9
1.33 = x
Explain how to calculate the surface area of a composite figure in your own words.
Answers
Answer:
tik
Step-by-step explanation:
Answer:
Sample response: First separate the composite into component figures. Then find the surface area of each figure. A two-dimensional net can be used to find the surface area. Add the surface areas of the components. Then, subtract or exclude the areas of the figures that are shared.
Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour?
Answers
Answer:
40
Step-by-step explanation:
160-40=80/2=40
Answer:
$12/ hour
Step-by-step explanation:
revenue: 160
profit: 160 - 40 = 120
Brian's profit: 120/2 = 60
Hourly profit: 60/5 = 12
PLEASE MARK BRAINLIEST THANK YOU
Look at image please
Answers
Hopefully this is right!
Select all expressions that are equivalent to −4(x+2)−2x+4
A) −6x−4
B) −4x+2−2x+4
C) −10x
D) −4x-2x−8+4
Answers
Answer: A) -6x-4 Hope that helps!
Step-by-step explanation:
1. Expand by distributing terms -4(x+2)-2x+4
-(4x+8)-2x+4
2. Remove parentheses
-4x-8-2x+4
3. Collect like terms
(-4x-2x)+(-8+4) and simplify meaning multiply if you do -4×-2= -6 and if you do -8+4= -4 So, your answer would be -6x-4 never forget the variable that's the letter that I put went the x in it by the way and can you make me Brainliest please thanks and bye!
Write the equation of the line in fully simplified slope-intercept form.
Answers
...............
Helpppp plsss......!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Mower A: 3.25 / 0.3 = 10.83
Mower B: 3.75 / 0.15 = 25
Mower C: 4.25 / 0.24 = 17.71
Mower D: 5.50 / 0.18 = 30.50
Answer: D :)
Will mark the correct answer brainliest
Answers
Answer:
How long the ball was in the air
Step-by-step explanation:
3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.
Answer:
How much long was the ball was in the air
Step-by-step explanation:
mark brainliest
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 7, -21, 63, ...7,−21,63,....
Answers
Answer:
a_n= -3n
Step-by-step explanation:
Answer:
a_n= 7(-3) n-1
Step-by-step explanation:
Ms.Lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money did ms.Lawrence spend on smoked salmon
Answers
Answer:
$8.99
Step-by-step explanation:
1 pound = 16 ounces
y pound = 8 ounces
[tex]\frac{1}{16} :\frac{y}{8}[/tex]
y · 16 = 1 · 8
16y = 8
16y ÷ 16 = 8 ÷ 16
y = 0.5
0.5 pound = 8 ounces
----------------------------------
1 pound = $17.98
0.5 pound = y
[tex]\frac{1}{17.98} :\frac{0.5}{y}[/tex]
y · 1 = 17.98 · 0.5
y = $8.99
The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
store wants to make a 6 in. radius jaw breaker. How much should they charge for this
foot long jaw breaker?
Answers
Answer:
$36
Step-by-step explanation:
1. Determine the surface area of the largest jaw breaker
Surface area of a sphere = 4πr²
4 x 3.14 x 2² = 50.24in²
2. Determine the surface area of the new jaw breaker
4 x 3.14 x 6² = 452.16 in²
3. Determine the cost per area
4/ 50.24
4. Determine the price for the new jaw breaker
4/ 50.24 x 452.16 = $36
HELP! I'll give brainliest
Answers
Answer: A!
Step-by-step explanation:
Pick Two Points on the Line. Use "Rise over Run" to Find the Slope.
T
✓
Answers
Answer:
Easiest to pick (0, 0) and (1, 1) probably, then slope is 1.
Step-by-step explanation:
Rise over run for (0, 0) and (1, 1) is rise up 1 and run over 1, so 1/1.
This means slope is 1
Which expression is equal to
Answers
Answer:
4^5/ 4^-9
Step-by-step explanation:
the third one