Answers
9514 1404 393
Answer:
10,466.7 in^3
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr^2·h
where r is the radius and h is the height. Using your numbers, we have ...
V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3
_____
A more accurate value of π will give a different result.
Related Questions
How many did he clear the first day
Answers
Answer:25 yards on the first day.In numerals:XXV
Step-by-step explanation:its pretty simple he cleared the same amount for the first five days.Then 8 more on the sixth.So since 133 in total subtract 8 and divide by 5.133-8=125/5=25 25 yards.
How do you find the area of a rectangle with a base of 10 and a height of 2 1/2?
Answers
Answer:
The area would be 25.
Step-by-step explanation:
The formula for area is base × height.
2 [tex]\frac{1}{2}[/tex] × 10 = 25
Which function best fits following points?
Answers
A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?
Answers
C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.
(4+4)÷22×2
plss someone answer hurry <3
Answers
Answer:
first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72
Step-by-step explanation:
hope this help
Answer:
0.72
Step-by-step explanation:
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x) sin(x) dx
Answers
Answer:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Required
Evaluate
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Rewrite as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {cos(x)\ sin(x)\ sin(2x)} \, dx[/tex]
In trigonometry:
[tex]sin(2x) = 2\ sin(x)\ cos(x)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2x) = \frac{2\ sin(x)\ cos(x) }{2}[/tex]
[tex]\frac{1}{2}sin(2x) = sin(x)\ cos(x)[/tex]
[tex]\frac{1}{2}sin(2x) = cos(x)\ sin(x)[/tex]
Substitute [tex]\frac{1}{2}sin(2x)[/tex] for [tex]cos(x)\ sin(x)[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin(2x)\ sin(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin^2(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, dx[/tex]
Let [tex]u = 2x[/tex]
Differentiate:
[tex]du = 2 \ dx[/tex]
Make [tex]dx[/tex] the subject
[tex]dx = \frac{1}{2}du[/tex]
Substitute [tex]\frac{1}{2}du[/tex] for [tex]dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, \frac{1}{2}du[/tex]
Substitute 2x for u
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(u)} \, \frac{1}{2}du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}*\frac{1}{2}\int\limits {sin^2(u)} \, du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
At this point, we apply the reduction formula:
Which is:
[tex]\int\limits {sin^n(u)} \, du = \frac{n-1}{2}\int\limits sin^{n-2}(u)\ du\ - \frac{cos(u)sin^{n-1}(u)}{n}\du[/tex]
Let n = 2; So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{2-2}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]sin^0(u) = 1[/tex]
So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits 1\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
Integrate 1 with respect to u
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du[/tex]
Recall that:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
So, we have:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}[ \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du][/tex]
Open bracket
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}u - \frac{cos(u)sin(u)}{8}[/tex]
Recall that: [tex]u = 2x[/tex] and [tex]du = 2 \ dx[/tex] [tex]dx = \frac{1}{2}du[/tex]
So, the expression becomes:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}2x - \frac{cos(2x)sin(2x)}{8}[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8}[/tex]
Add constant c
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex]
----------------------------------------------------------------------------------------
In trigonometry:
[tex]sin(2\theta) = 2sin(\theta)cos(\theta)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2\theta) = \frac{2sin(\theta)cos(\theta)}{2}[/tex]
[tex]\frac{1}{2}sin(2\theta) = sin(\theta)cos(\theta)[/tex]
Replace 2x with [tex]\theta[/tex]
[tex]\frac{1}{2}sin(2*2x) = sin(2x)cos(2x)[/tex]
[tex]\frac{1}{2}sin(4x) = sin(2x)cos(2x)[/tex]
----------------------------------------------------------------------------------------
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex] becomes
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{2*8} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{16} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{x}{4} - \frac{sin(4x)}{16} +c[/tex]
The solution can be further simplified as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
find the x- and y- intercepts of the following: 10x-4y=-20
Answers
Answer:
y-intercept=5
x-intercept=-2
Step-by-step explanation:
To find the y intercept, plug in 0 for x. So you get 10(0)-4y=-20. Simplify, and clear out the negatives on both sides because they cancel each other out. 4y=20 would be your final equation. y=5.
To find the x intercept, you plug in 0 for y this time. The equation is 10x-4(0)=-20. Simplify to get, 10x=-20. You cannot remove the negative because there isn't a negative sign on the 10x. -20/10 is -2.
please mark brainliest it will help me a lot.
Can somebody plz help me!!
Answers
Answer:
yes yes yes yes yes yes yes
Answer:
121π square centimeters
Step-by-step explanation:
We can find the radius of the circle by taking the average of the two diameters provided. (15+7)/2=11. Then we plug that into the area of a circle equation. Area = π[tex]r^{2}[/tex] and that yields the answer.
Please help ! I’ll mark you as brainliest if correct
Answers
Answer:
a
Step-by-step explanation:
For every 6 trucks there are 10 cars parked in the commuter lot. If there are 25
cars parked in the lot, how many trucks are there?
Answers
Answer:
15
Step-by-step explanation:
The ratio of trucks to cars is 6x/10. And in the problem it says that there are 25 cars. So, 10x = 25, x = 5/2. Then, 6x = 15
How many solutions does the equation −4y + 4y + 2 = 2 have? (1 point) a Two b None c One d Infinitely many
Answers
Answer:
Infinity
Step-by-step explanation:
-4y + 4y + 2 = 2
2 = 2 = always true
Answer:
The answer is Infinitely many
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
(10,25)
Answers
Answer:
B
Step-by-step explanation:
25/10=2.5
Answer:
2.5
Step-by-step explanation:
What is the value of 3 in the figure shown below?
E
с
4.2
4.2.
A
20
35°
62°
4.3
4.3
D
B
Answers
Answer:
[tex]35degrees[/tex]
A number squared minus fifteen times the number is equal to 16. Write the equation and give the factors.
Answers
[tex]\huge{\mathfrak{\purple{Answer}}}[/tex]
Equation: x² - 15x = 16
Factors: x = -16 and x = 1
[tex]\huge{\mathfrak{\purple{Explanation}}}[/tex]
Given
A number squared minus fifteen times the number is equal to 16.
Equation: x² - 15x = 16
Factors:
x² - 15x - 16 = 0
So,
(x - 16) (x + 1)
=> x - 16 = 0, x + 1 = 0
= x = -16 and x = 1
#HopeItHelps
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2
Answers
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.
Answers
Answer:The answer is graph B.
Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.
204 students went on a field trip. Four buses were filled and 8 students traveled in cars. How many students were on each bus?
Answers
Answer:
49
Step-by-step explanation:
204-8=196 in buses
each bus= 196÷4=49
204 divided by 8=equals 25.5 so round to 26
(2a -36)
[tex](2a - {36)}^{2} [/tex]
Answers
2
a
−
5
a
−
5
Simplify:
Two triangles are created by the points below use each of the triangles to determine the slope of the line on the graph what is the slope
Answers
If a single person earns 33,200 what would his taxes be to the nearest dollar
Answers
Answer: The answer is,
$5,110
Option (B)
The tax of a single person that earns $33,200 is $5110
The earnings (E) is given as:
[tex]E = \$33,200[/tex]
From the tax table, the equation to calculate the tax of a single person within the income range $28400 to $68,799.99 is:
[tex]Tax =0.25E - 3190[/tex]
So, we have:
[tex]Tax =0.25 \times 33200 - 3190[/tex]
[tex]Tax =8300 - 3190[/tex]
Evaluate the like terms
[tex]Tax =5110[/tex]
Hence, the tax of a single person that earns $33,200 is $5110
Read more about income tax at:
https://brainly.com/question/1775528
Jason wants to eam money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns?
Answers
Answer:
$90 profit
Step-by-step explanation:
8) HELP PLEASE ILL GIVE BRAINLIEST!! Find the median of the set of data.(Remember to put the
list in numerical order)
10, 15, 8, 1, 3, 10, 6, 3
a. 7
b. 10
c. 4.5
d. 9
Answers
——————————
Arrange data in numerical order
1 3 3 6 8 10 10 15
Total number are 8, N = 8
Take the middle two numbers 6 and 8 and take their average
6+8/2 = 14/2 = 7
Therefore the median is 7.
please help out, tysm. need this asap. i’m gonna mark brainliest! thanks
Answers
Answer:
E and F
Step-by-step explanation:
✔️To eliminate the variable y, we can multiply the first equation, -x + 4y = 1 by 7 and the second equation, 8x - 7y = 42 by 4. This will leave us with the variable x alone to solve for.
✔️Alternatively, we may decide to eliminate the variable x first by multiplying the first equation, -x + 4y = 1 by 8. Both equations would be equivalent, thus when we can easily eliminate the variable x leaving us with variable y to solve for.
Draw a picture of the base and label the dimensions 140 17ft 4t Shape of the base Formula for area Perimeter of the base (P)= Area of the base (B) = height of the prism (h)=
Answers
Answer:sorry but i can't help you i got work okay.
Step-by-step explanation:
what is the sum of n=-2 and m=5
Answers
Answer:
sum=n+m=-2+5=3 is a answer
What is the least common multiple of the two denominators
6/8 , 4/32
Answers
ABC~DEF. ABC has a perimeter of 18 and a leg of 5. The base of DEF is 34.4. What is the perimeter of DEF.
Answers
Answer:
DEF =77.4 inches I attached an answer sheet so you can know how to work out the problem
Find the number of solutions of the equation 9h^2 - 12h + 4 = 0 by using the discriminant.
Answers
Answer:
Step-by-step explanation:
H=2/3
Answer:
one real solution
Step-by-step explanation:
:)
Which is greater 1/4 or .25
Answers
Answer:
they are both the same equal
Step-by-step explanation:
can i get brainliest
Which of the points best represents the location of
5
on the number line?
8
A
B
D
+
-2
-1
0
2
C С
OD
OA
B
Answers
Answer:
B
Step-by-step explanation:
Answer:
the answer should be B
Step-by-step explanation: