What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answers
Answer:
volume = 33.5 in³
Step-by-step explanation:
Formula:
[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]
Given:
r = 2 inh = 8 inπ = 3.14Substituting the given values into the formula:
[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]
[tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]
[tex]\sf =33.49333333...[/tex]
[tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]
Related Questions
The area of a rectangular field is 1.12×10^45 square feet. If the length of the field is 7×10^11 feet, and the width of the field can be written as 1.6×10x feet, what is the value of x?
Answers
Answer:
x = 10^34
Step-by-step explanation:
length × width = area
area/length = width
width = (1.12 × 10^45 ft²)/(7 × 10^11 ft)
width = 1.12/7 × (10^45)/(10^11) ft
width = 0.16 × 10^34 ft
width = 1.6 × 10^34 ft
width = 1.6 × x ft
x = 10^34
The value of x is [tex]10^3^2[/tex] or [tex]\rm x =10^3^2[/tex]
It is given that the area of a rectangular field is [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]
It is required to find the value of x
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have:
Area of rectangle = [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]
The length of the rectangle = [tex]7\times 10^1^1[/tex] feet
The width of the rectangle = [tex]\rm 1.6\times 10x[/tex] feet
After putting the values in the formula, we get:
[tex]\rm 1.12\times10^4^5 =7\times 10^1^1\times\rm 1.6\times 10x[/tex]
[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\[/tex]
[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\\\rm x = 0.1\times 10^3^3[/tex]
[tex]\rm x =10^3^2[/tex]
Thus, the value of x is [tex]10^3^2[/tex]
Learn more about the area here:
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75 POINTS IF U GET THIS CORRECT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! James has a collection of 20 miniature cars and trucks. Cars make up 40% of the collection. If James adds only cars to his collection, how many cars must he add to make the collection 75% cars?
Answers
Answer:
28 cars
Explanation:
cars + trucks = 20Let "n" be the cars added in the collection
cars : 20 * 40% = 8 carstrucks : 20 - 8 = 12 truckssolve:
[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]
[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]
[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]
[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]
[tex]\rightarrow \sf -7 =0.25n[/tex]
[tex]\rightarrow \sf n = 28[/tex]
Thus, he needs to add 28 cars in the collection to make the collection 75% cars.
Answer:
28 cars
Step-by-step explanation:
Total number of cars and trucks = 20
Cars make up 40% of the collection
⇒ Number of cars = 40% of 20
= 0.4 x 20
= 8 cars
⇒ Number of trucks = total collection - number of cars
= 20 - 8
= 12 trucks
To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:
(Added cars + existing cars) to total collection = 75%
⇒ x + 8 : x + 8 + 12 = 75 : 100
⇒ x + 8 : x + 20 = 75 : 100
[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]
⇒ 100(x + 8) = 75(x + 20)
⇒ 100x + 800 = 75x + 1500
⇒ 100x -75x = 1500 - 800
⇒ 25x = 700
⇒ x = 28
Therefore he would need to add 28 cars to his collection to make his collection 75% cars.
Check
Number of cars = 8 + 28 = 36
Number of trucks = 12
Total collection = 36 + 12 = 48
Number of cars / total collection = 36/48 = 0.75 = 75%
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill of $46.69, the amount of the tip is approximately $_____
Answers
Answer:
9 doller
Step-by-step explanation:
we will find 20 percent of 46.69
is=pxw divided by 100
=9.338
or 9 doller
46.69 rounds to 47
47 x .20 = 9.40
The amount of the tip is approx. $9.40
I hope this helps and is the BRAINLIEST!
Good luck with your studies!
Brook's score in a card game is 713 + 102 + 516. On her next turn, she draws one of the cards shown. Now her score is (713 + 102 + 516) ÷ 2. Which card did Brook draw? Explain.
Answers
In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?
Answers
Splitting the rectangle in half creates two right triangles
The value of tan(x) is 4/3
How to determine the value of tan x?To calculate tan(x), we make use of the following tangent ratio
tan(x) = Opposite/Adjacent
From the figure, we have:
Opposite = AD = 4
Adjacent = CD = 3
So, we have:
tan(x) = 4/3
Hence, the value of tan(x) is 4/3
Read more about tangent ratio at:
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Answer:
4/3
Step-by-step explanation:
4
Find the perimeter of a
Square with a side
length of 7 meters.
Answers
Answer: P=28 meters
Step-by-step explanation:
[tex]P=4[/tex] × a ⇒ a is the side length
[tex]P=4[/tex] × [tex]7[/tex]
[tex]P=28[/tex]
Answer:
28 m
Step-by-step explanation:
Given
Side length = 7 mPerimeter of a square
4 x Side length4 x 728 mPart A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part B: Given θ = 675°, convert the value of θ to radians and find sec θ.
(Picture below is equation stated in Part A)
Answers
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
A.The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
B.One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Find the value of each variable in the parallelogram.
Answers
Answer:
n=12
m=5
Step-by-step explanation:
n= 12 since they are parallel and equal
m+1=6 since they are parallel and equal
Opposite sides are equal in a paralleogram
m+1=6m=6-1m=5And
n=12Done!
Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3
% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?
Answers
A worker is getting a 4.5% raise. His current salary is $35,591. How much will his raise be?
His raise will be $
(Type an integer or decimal rounded to two decimal places as needed.)
Help me solve this
View an example
Get more help
Answers
$35,591/100=355.91*4.5= 1601.595
use the equality below to answer the question
0.08g+0.2<5
Answers
Answer:
g< 0.0153
Step-by-step explanation:
0.08g +0.2 < 5
0.08g < 5 + 0.2
0.08g < 5.2
g< 0.0153
Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m
Answers
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
Help picture below problem 17
Answers
Answer:
40
Step-by-step explanation:
Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!
I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)
If 35% of a number is 56 and 25% of the same number is 40 find 60% of that number
Answers
35%= 56
100%= 56÷35×100
100%= 160
25%= 40
100%= 40÷25×100
100%= 160
60%= 160÷100×60
60%= 96
given tan 0= -15/8 where 270º < 0 < 360°
Given tan 0 =
Find cos 0
Answers
Answer:=8/17
Step-by-step explanation:
I need help with this question can someone help??
Question is in photo :p
Answers
Answer:
The answer to this question is 0.6
Step-by-step explanation:
Solution
12/20 = 0.6
Use the distributive property to write the following expressions in expanded form. 4(x +y)
Answers
Answer:
4x+4y
Step-by-step explanation:
Answer:
4x + 4y
Step-by-step explanation:
To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.
So here, you want to multiply x by 4:
4x
Then multiply y by 4:
4y
And because the expression is adding the x and y, it comes out as:
4x + 4y
Which number is bigger: 0.135 or 0.14?
Answers
Jack had m math problems to complete during his vacation. He solved the same number of problems everyday and finished them all in 5 days. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Answers
Jack's problems illustrates algebraic expressions
He solved m/5 problems everyday.75 questions were assigned in totalNumber of problems solved per dayThe given parameters are:
Problems = mNumber of days = 5The number of questions solved per day is calculated as:
Daily = Days/Problems
So, we have:
Daily = m/5
Number of problems in the assignmentWe have:
Daily = m/5
He solved 15 daily.
So, the equation becomes
m/5 = 15
Multiply both sides by 15
m = 75
Hence, 75 questions were assigned in total
Read more about expressions at:
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f(x)=3x^2-5x+3
f(-2)=
f(-1)=
f(0)=
f(1)=
f(2)=
Answers
Answer
answer is 19
Step-by-step explanation:
hope it's help
Two years ago, Erin was 35 inches tall. To ride the roller coaster at a theme park, she must be at least 42 inches tall. If she was able to ride the roller coaster this year, how many inches did Erin grow?
Answers
Answer:
In two years erin grew 7 inches
Step-by-step explanation:
42 - 35 = 7
Answer:
atleast 7 inches
Step-by-step explanation:
35 inches - 42 inches = 7 inches
Two years ago, Erin was 35 inches tall.
To ride the roller coaster at a theme park, she must be at least 42 inches tall. So that means she grew atleast 7 inches
Un portapapeles cuesta $2.23. Cuesta $0.58 más que un cuaderno. Lisa compró dos portapapeles
y un cuaderno. Ella pagó con un billete de diez dólares. ¿Cuánto cambio recibió Lisa? Usa un diagrama
de cinta para mostrar tu razonamiento.
Answers
Answer:
3.38
Step-by-step explanation:
primero tienes que restar 2.23 por 0.58 que es igual a 1.65 luego sumas 1.65 por 4.46 porque 2.23 multiplicado por 2 es igual a 4.46 y eso es igual a 6.11 luego tienes que restar 10 por 6.11 que es igual a 3.89
-1/4 (24ab + 8c) please help
Answers
Factor 5x2y + 22xy – 15y.
Answers
Answer:
5y(x^2 - 3)
Step-by-step explanation:
Hope this helps :)
A game costs $1.00 to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $7.00 if the card is not a face card, the player receives nothing.
What is the expected value for the player?
Answers
The expected value for the player by participating in the game of the deck of cards is $0.50.
What is the expected value?The expected value is the payoff that is expected less the cost of the game.
Expected value = total benefits of the game - cost
(fraction of face cards x payoff of picking a face card) + 0 - $1
(12/52 x 7) - $1 = $0.50
To learn more about expected value, please check: https://brainly.com/question/26181966
Tom had a homework assignment to graph only the coordinates that would lie in Quadrant Ill of the coordinate grid. Which point below could have been one of the points that Tom graphed?
A (-3,-7)
B (-2,5)
C (1.6)
D (5, -13)
Question #31
Answers
The required point that could have been one of the points that Tom graphed is (-3,-7) lies in Quadrant III. The correct answer would be an option (A).
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
A point that could have been one of the points that Tom graphed is (-3,-7). This is because it lies in Quadrant III of the coordinate grid. In Quadrant III, the x-coordinate is negative and the y-coordinate is negative.
Point A has a negative x-coordinate and a negative y-coordinate, so it satisfies the requirement of being in Quadrant III.
Hence, the correct answer would be option (A).
Learn more about the quadrant of the graph here:
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#SPJ2
Help help help help aspab
Answers
Answer:
Straight
Step-by-step explanation:
∠RQT is a straight angle.
Answer:
Straight
Step-by-step explanation:
∠RQT is a straight angle with a measure of 180°.
hope this helps!! p.s. i really need brainliest :)
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answers
Answer:
96 in³
Step-by-step explanation:
Volume = 2(BHD) / 2
The 2s cancel out
Volume = 3(8)4
Volume = 96
What is the factorization of the expression below?
16x^2 - 49
A. (4x + 7)(4x - 7)
B. (4x - 7)(4x - 7)
C. (8x - 7)(2x - 7)
D. (8x + 7)(2x - 7)
Answers
Answer:
[tex](4x+7)(4x-7)[/tex]
Step by step explanation:
[tex]16x^2 -49\\\\=(4x)^2-7^2\\\\=(4x+7)(4x-7)~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)][/tex]
Original price 770$ is on sale at a 9% off what is the discount amount and sale price ?
Answers
Answer:
770 x 9/100 = 69.3
the discound amount = 69.3$
the sale price = 770 - 69.3 = 700.7$
700.7 is the sale price