00:57
Learn with an example
What is the volume of this cone?
Use ≈ 3.14 and round your answer to the
nearest hundredth.
19 ft
12 ft
Answers
The volume of the given cone.
Solution:[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]
[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V=\frac{1}{3}×3.14×{12}^{2}×19[/tex]
[tex]\large\boxed{V=2863.68 \: {ft}^{3}}[/tex]
Therefore, the volume of the given cone is 2863.68 cubic feets.
Related Questions
Simplify surd need an answer asap please
Answers
what is the of 6 in 46.97
Answers
What are the zeros of the quadratic function f(x) = 6x² - 24x + 1?
A.
[tex]x = - 2 + \sqrt{ \frac{1}{2} } or \: x = - 2 \: - \sqrt{ \frac{1}{2} } [/tex]
B.
[tex]x = 2 + \sqrt{ \frac{1}{2} } \: or \: x = 2 - \sqrt{ \frac{1}{2} } [/tex]
C.
[tex]x = - 2 + \sqrt{ \frac{23}{6} } \: or \: x = - 2 - \sqrt{ \frac{23}{6} } [/tex]
D.
[tex]x = 2 + \sqrt{ \frac{23}{6} } \: or \: x = 2 - \sqrt{ \frac{23}{6} } [/tex]
Answers
Answer:
D.
Step-by-step explanation:
Use Quadratic formula
x = [-b +- sqrt (b^2 - 4ac) ] / 2a with a = 6 b = -24 c = 1
to find
x = 2 ± sqrt (23/6)
c) The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?
Answers
Answer:
495Step-by-step explanation:
The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?
find the number of girls
4 : 5 = 220 : x
x = 5 * 220 : 4
x = 275
sum boys and girls
220 + 275 =
495 (your answer)
check
4 : 5 = 220 : 275
4 : 5 = 4 : 5
the answer is good
raito 6 servings per platter
Answers
Answer: 6:1
Step-by-step explanation:
PLEASE HELP! PLEASE!!!!!!!
Answers
Using the equation of the proportional relationship:
Average rate of speed = 60
Time taken to go 300 miles = 5 hrs
Distance travelled in 2.5 hrs = 150 miles
What is a Equation of a Proportional Relationship?A equation of a proportional relationship models the relationship between two variables, x and y, that has a constant of k. It is expressed as y = kx.
Given the following:
Equation: d = 60t
d = distance in miles
t = time in hours
Average rate of speed for the bus = k = 60
Time (t) it would take to go 300 miles (d):
300 = 60(t)
300/60 = t
t = 5 hours
Distance (d) it would travel in 2.5 hours (t):
d = 60(2.5)
d = 150 miles
Learn more about the equation of a proportional relationship on:
https://brainly.com/question/6869319
#SPJ1
Find the equation of a line passing through (3,4) and (1,-4). Enter your answer in the slope-intercept form (namely, type your answer exactly in the form of y = mx + b).
Answers
Answer:
y=4x−8
Step-by-step explanation:
What’s the range of this graph?
A) all real numbers
B) all real numbers greater than or equal to 0
C) all real numbers greater than or equal to 1
D) all real numbers greater than or equal to 2
Answers
Option d is the correct answer. All real numbers are greater than or equal to 2.
What are domain and range?Domain of a function--The domain of the function is the set or collection of all the x-values for which the function is well defined.
Range of a function--The range of a function is the set of all the values which are attained by a function in its defined domain.
By looking at the graph we observe that the function is continuously increasing and the function takes all the real values greater than as well as equal to 2( since there is a closed circle at (1,2). Hence, the range is: [2,∞).
Thus Option d is the correct answer. All real numbers are greater than or equal to 2.
To know more about domain and range follow
https://brainly.com/question/2264373
#SPJ1
Solve the system of
equation graphically, by
substitution, and by
elimination.
2x-5y = 34
y=3x-25
Answers
Choose the answer.
Use the net to determine the total surface area.
Answers
triangle = 1/2x4x6 = 12
4 tris = 12x4 = 48
total surface area = 48 + 36 = 84
answer : 84cm^2
Answer:76cm³
Step-by-step explanation:
5x4÷2=10cm²
10cm²x4=40cm²
6²=36cm²
40+36=76cm³
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students–65 boys and 95 girls–going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answers
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
Since there is roughly 1.5x more girls than boys, the sample size will likely contain more girls than boys when chosen at random.
If the total bill was $36 and I leave the waiter 9$, what percent is the tip
Answers
Answer:
25%
Step-by-step explanation:
percent = part/whole × 100%
percent = 9/36 × 100%
percent = 25%
Answer:
25%
Step-by-step explanation:
If you divide 36 by 9 you get 4. If you do the same for 100, and divide by four, you get 25. Therefore, 9 is 25% of 36.
Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
Answers
Based on the calculations, the area of the shaded region is equal to 22 square foot.
How to calculate the area of the shaded region?By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
Note: The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
Read more on area of circle here: https://brainly.com/question/2278809
#SPJ1
Complete Question:Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
help pls!!1!1!1!1!1!1!1!!1!1!1!1
Answers
girls - white water rafting
hope this helps!!
Answer:
a) high ropes course
b) white water rafting
Step-by-step explanation:
can someone help me find the missing ones
Answers
Answer:
The answer is in Step.
Step-by-step explanation:
Domain: (- inf, + inf)
Range: (- inf, 3]
Increasing: (- inf , 0)
Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)
Maximum: (0,3) or just 3.
Minimum: None.
x-int: -1, 1
y-int: 3
a camp charges $40 per student for a full-day camp and the camp only runs if 5 students enroll but the enrollment limit is 16 students. the amount of revenue that the camp collects is a function of the number of students that enrolled defined by this equation: [tex]R(n)=40n[/tex]
please describe the set of all possible outputs of this function
please describe the set of all possible inputs of this function
Answers
The set of input of the function are {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }
The set of output of the function is a multiple of 40 from 200 to 640
How to find the output and input of a function?The input of the function can be found as follows:
The camp can only run if we have at least 5 students.
The limits of student is 16.
Therefore, the input are {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }
The output are the dependent variables or the range. They are gotten when we input the values of the input in the function.
Therefore,
R(n) = 40n
R(5) = 40(5) = 200
R(16) = 40(16) = 640
The output are multiple of 40 from 200 to 640
learn more on function here: https://brainly.com/question/19161094
#SPJ1
30% of the students in a class score an A on the last test. There are 50 students in the class. How many students scores an A on the test?
Answers
15
Step-by-step explanation:Percentages represent a proportion of a number. There are 2 ways to find a percent of a whole number.
Multiple of 10
Since 30% is a multiple of 10%, there is a shortcut we can use. We can find 10% and then multiply by 3 in order to find 30%. First, find 10% of 50. Like always, 10% of any number is that number divided by 10 (move the decimal 1 place to the left).
50/5 = 10So, 10% of 50 is 5.0.
Then, to find 30%, multiply 5 by 3.
5*3 = 1530% of 50 is 15.
Multiplication
The more consistent method includes multiplication, this can be used with any percentage. To use this method we need to convert 30% to a decimal. To convert any percentage to a decimal divide by 100 (move the decimal 2 places to the left).
30% / 100 = 0.30Now, we can multiply this decimal by the whole number, 50. This will give us our desired answer.
0.30*50 = 15So, this once again shows that 30% of 50 is 15.
what the volume of the soild
Answers
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
5m + 6n; m = 2 and n = 4
Answers
Answer:
34
Step-by-step explanation:
Substitute values given into expression and simplify :
5(2) + 6(4) =
10 + 24 =
34
Hope this helped and have a good day
4.5% of what number is 46.116?
Answers
=>2.07522
Answer:
47.1408
Step-by-step explanation:
They gave us the percentage of a number and wants us to find the whole
to do that we will use the following equation:
46.116*100/4.5 = 47.1408 is the number we are looking for.
congruent figures someone please help
Answers
image is below, please help me fast i have 2 minutes left, thank you very much
Answers
Answer:
45
Step-by-step explanation:
1/3 of 90
= 1/3 * 90
= 90/3
= 30
Let the missing number be x.
2/3 of x
= 2/3 * x
= 2x/3
30 = 2x/3
Cross multiply,
2x = 30 * 3
2x = 90
x = 90/2
x = 45
Hence,
the missing number is 45.
Compute the average 7 5 10 2 8 4
Answers
To find the average of a set of numbers, add all of the numbers together and then divide the sum by the number of numbers in the equation:
7 + 5 = 12 + 10 = 22 + 2 = 24 + 8 = 32 + 4 = 36
*Divide by the number of numbers in the equation*
36/6 = 6
Hope this helps :)
Answer:
6 is the average
Step-by-step explanation:
You add all the numbers together
7 + 5 + 10 + 2 + 8 + 4 = 36
and then divide by the amount of numbers
36/6=6
(b) 3√2 x 5√8
i don't know how to solve it
Answers
Answer:
60
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
given
3[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{8}[/tex]
= 3 × 5 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{8}[/tex]
= 15 × [tex]\sqrt{16}[/tex]
= 15 × 4
= 60
brian is 6 feet tall and cast a 4 foot shadow. At the same time, a nearby flag pole cast a 20 foot shadow. How tall is the flag pole?
Answers
Answer:
30
Step-by-step explanation:
Given:
Brian Height = 6 feet
Brian Shadow Height = 4 foot
Flag Shadow Height = 20 foot
Flag Height = Unknown ??
So we can use cross multiplication
6/4 = x/20
6×20/4 = x
6×20 =120
120÷4 = 30
So x= 30, which is the Flag Height
I wish that I helped you with this.
As per linear equation, the height of the flag pole is 30 feet.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.
Given, Brian is 6 feet tall and cast a 4 feet shadow.
Therefore, the ratio of Brain and it's shadow is
= 6/4
= 1.5
A flag pole cast a 20 foot shadow.
Therefore, the height of the flag pole is
= 20 × 1.5 feet
= 30 feet.
Learn more abut linear equation here: https://brainly.com/question/12508646
#SPJ3
The graph below shows the altitude, in feet, of a model rocket t seconds after launch. During this time, the rocket
experiences three distinct modes of flight. Initially, the engine accelerates the rocket upward. The rocket then coasts
upward, is slowed by gravity, and eventually begins to fall. Last, a parachute opens and the rocket drifts smoothly
back to the ground.
1.000
200
20
Time after Launch (seconds)
When was the model rocket 600 feet above the ground?
4.5 seconds
7 seconds
7 and 9.5 seconds
O4.5 and 12 seconds
Deep spray
Answers
Answer:
D
Step-by-step explanation:
The model rocket was 600 feet above the ground at 4.5 seconds and 12 seconds.
What is graph?"It is a diagram that represents data in an organized manner."
What is altitude?"It is the height of the object above the surface of the ground."
For given question,
The graph shows the altitude, in feet, of a model rocket t seconds after launch.
From the graph we can observe that the model rocket was 600 feet above the ground at 4.5 seconds and 12 seconds.
Therefore, the model rocket was 600 feet above the ground at 4.5 seconds and 12 seconds.
Learn more about the graph of the function here:
https://brainly.com/question/12700952
#SPJ3
What type of function is f(x) = 2x -14?
Exponential
Logarithmic
Polynomial
Rational
Answers
The function f(x) = 2x -14 is a polynomial function
How to determine the function type?The equation of the function is given as:
f(x) = 2x -14
A polynomial is represented as:
f(x) =ax^n + bx^(n - 1)....... + c
Where n is at least 1.
The function f(x) = 2x -14 is a polynomial with a degree of 1
Hence, the function f(x) = 2x -14 is a polynomial function
Read more about polynomial function at:
https://brainly.com/question/20896994
#SPJ1
An intravenous solution needs 2 liters (L) of glucose to be mixed with 7 units of blood. How much glucose (in liters) is needed for 30 units of blood
Answers
8.57 liters glucose (in liters) is needed for 30 units of blood.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
For 7 units of blood = 2 l of glucose needed.
Foe 1 units of blood, glucose needed = 2/7
For, 30 units of blood , glucose needed = 8.57 liters
Hence, 8.57 liters glucose (in liters) is needed for 30 units of blood.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ1
Jordan is planning to buy a vehicle. He has the following choices.
Type: sedan or SUV
Transmission: 5-speed or automatic
Color: red, blue, black, green, or silver
Top: sunroof or no sunroof
Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?
He should have multiplied the sum by 4.
He should have added only the choices for type and transmission.
He should have multiplied only the choices for type and transmission.
He should have multiplied the choices, instead of adding them.
Answers
Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.
What are the number of choices?Whenever you have multiple choices, you have to multiply the number of choices you have in different groups to get the final number of choices.
For example, you have to make a sandwich and you can either use white bread or brown bread. Also, you can either use jam or peanut butter or veggies. Therefore, here the number of choices is 6.
White bread and JamWhite bread and Peanut butterWhite bread and VeggiesBrown bread and JamBrown bread and Peanut butterBrown bread and VeggiesSimilarly, Jordan has two choices for type, two choices for transmission, 5 choices for color, and 2 choices for the top. Therefore, the number of choices Jordan has is,
Number of choices in total = 2 × 2 × 5 × 2
Hence, Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.
Learn more about the Number of Choices:
https://brainly.com/question/14655459
#SPJ1
Answer:
D
Step-by-step explanation:
A biology class at Central High School predicted that a local population of animals will double in size every 12 years. The population at the beginning of 2014 was estimated to be 50 animals. If P represents the population n years after 2014, then which of the following equations represents the class's model of the population over time?
p = 12 + 50m
p = 50(2)^ 12n
p = 50 + 12n
p = 50(2)^(n/12)
Answers
The equation represents the class's model of the population over time will be P = 50(2)^(n/12). Then the correct option is D.
What is an exponent?Consider the function:
y = a (r)ⁿ
Where n is the number of times this growth occurs, a = initial amount, and r = increasing amount of growth.
A biology class at Central High School predicted that a local population of animals will double in size every 12 years.
The population at the beginning of 2014 was estimated to be 50 animals.
If P represents the population n years after 2014.
Then the equation represents the class's model of the population over time will be
[tex]\rm P = 50(2)^{n/12}[/tex]
Then the correct option is D.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
Answer: D is correct
Step-by-step explanation: