Answers
Answer:
The radius, in inches, of the base of the cone will be:
r = 6 inches
Hence, option B is correct.
Step-by-step explanation:
Given
The Volume of a right circular cone V = 24 π cubic inches
The height of the cone h = 2 inches
To determine
The radius of the base of the cone r = ?
Using the formula involving Volume m, height h, and radius r of a right circular cone.
[tex]V\:=\frac{1}{3}h\:\pi \:\:r^2\:[/tex]
substituting V = 24 π, h = 2 to find the radius r
[tex]\left(24\pi \right)=\frac{1}{3}\left(2\right)\:\pi \:r^2[/tex]
switch sides
[tex]\frac{1}{3}\left(2\right)\pi r^2=\left(24\pi \right)[/tex]
[tex]\frac{1}{3}2\pi r^2=24\pi[/tex]
simplify
[tex]2\pi r^2=72\pi[/tex]
Divide both sides by 2π
[tex]\frac{2\pi r^2}{2\pi }=\frac{72\pi }{2\pi }[/tex]
[tex]r^2=36[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]r=\sqrt{36},\:r=-\sqrt{36}[/tex]
Thus,
[tex]r=6,\:r=-6[/tex]
As we know that the radius can not be negative.
Therefore, the radius, in inches, of the base of the cone will be:
r = 6 inchesHence, option B is correct.
Related Questions
Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.
Answers
Answer:
there is no work?
Step-by-step explanation:
Answer:
Step-by-step explanation:
solve inequality for v
Answers
Answer:
[tex]\displaystyle v > \frac{-28}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{-10}{7}v > 8[/tex]
Step 2: Solve for v
Divide both sides by [tex]\displaystyle \frac{-10}{7}[/tex]: [tex]\displaystyle v > \frac{-28}{5}[/tex]Here we see that any value v greater than [tex]\displaystyle \frac{-28}{5}[/tex] would work as a solution to the inequality.
-7/10 and simplify.
Inequality Form:
v< −28/5
Interval Notation:
(∞, −28/5)
What is the value of this function when x = 9?
Please help!
Answers
Answer:
Undefined
Step-by-step explanation:
If x = 9, then.......
[tex]f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=[/tex] Undefined
2. If m is inversely proportional to n, the equation must be written as
C. n= km
m
A. k=
n
k
B.m=-
n
D. none of the above
Answers
Answer:
mn = k
Step-by-step explanation:
Given that,
m is inversely proportional to n.
ATQ,
[tex]m\propto \dfrac{1}{n}[/tex]
or
[tex]m=\dfrac{k}{n}[/tex]
Cross multiplying both sides,
mn = k
Hence, the required equation is "mn=k".
PLEASE HELP ME NOT THAT HARD I THINK
For one test, Benny got 12 questions wrong. His score was a 60%. In total, how many questions were on his test? Round your answer to the nearest whole number if necessary.
Answers
Answer: answer is 20 questions total
Step-by-step explanation:
12 Wrong, and 8 right. 60%
x-12/x = 60/100
100x - 1200 = 60x
40x = 1200
x = 30
30 questions
Beginning with the equation x = 6, write the new equation produced by multiplying both sides by 6
Help and you earn 34 points
Answers
Answer:
(x-6)(x+6)
Step-by-step explanation:
Answer:
(x-6)(x+6)
Step-by-step explanation:
cause you see x-6 is part of it cause ur multiplying
and x+6 of it cause ur multiplying both sides
for both.
and sorry for like typos or thing slike that cause i been typing a whole essay today for college
like 1000 words
You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pairs of pants for $18. You want to have at least $20 left over for food. Write a system of linear inequalities to represent the situation.
Answers
Complete question is;
You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pairs of pants for $18. You want to have at least $20 left over for food. Write a system of linear inequalities to represent the situation.
Answer:
x + y ≥ 6
110 - (12x + 18y) ≥ 20
Step-by-step explanation:
Let x represent number of shirts
Let y represent number of pairs of pants.
You want to buy at most 6 articles of clothing.
Thus;
x + y ≥ 6
A clothing store sells shirts for $12 and pairs of pants for $18. You want to have at least $20 left over for food.
Thus;
110 - (12x + 18y) ≥ 20
Mohan walks 5 kilometre per hour. He walks two hours everyday. How many kilometres does he walk in a week?
Answers
Answer:
The answer will be 5×24×7=840
Answer:
how walk 20 kilometer
Step-by-step explanation:
one hour he walk 5 kilometer he walk 2 hours so he walk 10 kilometer every day so he walk 70 kilometer every week
A veterinary assistant weighs a dog and records the weight as 64.7 pounds. The scale is accurate within one tenth of a pound. What is the maximum possible actual weight of the dog?
Answers
Answer:
64.8 Pounds. Maximum possible weight
Step-by-step explanation:
Zane's doctor says that zane should carry a booking that weighs less than 20 pounds. Zane carries his laptop, which weighs five pounds, and some notebooks, Assuming that each notebook weighs three pounds, how many notebooks can he carry in his bag without going over the weight limit?
Answers
Answer:
5 note book
Step-by-step explanation:
laptop - 5 pounds
Notebook - 3 pounds
20-5= 15
15÷3= 5.
3x-6=7x-3
3. 6
please help!!!!!!!
Answers
Answer:
B. -9
Step-by-step explanation:
3(-9)-6/3=-11
7(-9)-3/6=-11
Simplify the expression by combining like terms.
12d−34d+3f−2f
Enter your answer as an expression, like this: 42x+53
Answers
Answer:
Hi... Your answer is
-22d+f
Which of the following statements is TRUE?
ps=10/3
pq=10
pr=10
sr=10/3
Answers
Answer:
10/3
Step-by-step explanation:
Answer: give that person brainliest
Step-by-step explanation:
2)
Which graph represents a function?
A)
B)
A
D)
Answers
Answer:
it should be c im pretty sure it's a quadratic function graph
PLEASE!!!
Solve -(2x + 4) = 18.
-7
-11
11
7
Answers
Answer:
x=-11
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -11
Step-by-step explanation:
We use the distributive property, so, -2x - 4 = 18
We add 4 to both sides, -2x = 22
Divide both sides by negative 2 and we get our answer of -11
A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?
Answers
Answer:
1/10
Step-by-step explanation:
20 STUDENTS, 2 chosen
 please help !!!!!
Answers
Answer:
135 degrees
This is because 180 - 45 = 135
Answer:
C. 135
Step-by-step explanation:
180-45=135
2x-3y=-1, 2x+y=11solve the system equation
Answers
Answer:
x = 4, y = 3
Step-by-step explanation:
2x - 3y = -1
- 2x + y = 11
-4y = -12
y = 3
solve for 'x':
2x -3(3) = -1
2x - 9 = -1
2x = 8
x = 4
Identify the imaginary part of this complex number:
(1)/(2)+(-7)/(2)i
Answers
Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
To learn more about the complex form;
https://brainly.com/question/11741181
#SPJ2
check the attachment for the info. I would give brainly
Answers
Answer:
1) 0.9 as fraction is: [tex]\mathbf{\frac{9}{10}}[/tex]
2) Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22
3) t = 64
4) p=3.15
5) Volume of Cuboid = 160 m³
6) x =9
Step-by-step explanation:
1) Write as fraction: 0.9
For writing the fraction, Since we have decimal point at tent's place so we can write it as: [tex]\frac{9}{10}[/tex]
So, 0.9 as fraction is: [tex]\mathbf{\frac{9}{10}}[/tex]
2) Solve for c =4
[tex]2 \times (c^2-5)[/tex]
Put c = 4 and find the answer
[tex]2 \times (c^2-5)\\Put\:c=4\\=2\times ((4)^2-5)\\=2\times (16-5)\\=2\times(11)\\=22[/tex]
So, Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22
3) [tex]\frac{t}{4}=16[/tex]
We need to find value of t
Multiply both sides by 4
[tex]4\times\frac{t}{4}=16\times 4\\t=64[/tex]
So, we get t = 64
4) [tex]2.4p=7.56[/tex]
We need to find value of p
Divide both sides by 2.4
[tex]\frac{2.4p}{2.4}=\frac{7.56}{2.4}\\p=3.15[/tex]
So, we get p=3.15
5) Find Volume of Cuboid
The formula used is: [tex]Volume\:of\: Cuboid=Length\times Breadth \times Height[/tex]
We have Length = 4, Breadth = 8 and Height = 5
Putting values and finding volume:
[tex]Volume\:of\: Cuboid=Length\times Breadth \times Height\\Volume\:of\: Cuboid=4\times 8 \times 5\\Volume\:of\: Cuboid=160[/tex]
So, Volume of Cuboid = 160 m³
6) [tex]3x=27[/tex]
We need to find value of x
Divide both sides by 3
[tex]3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]
We get x =9
Here are the images:
Answers
Answer:
the anwer is D: all of the above
Step-by-step explanation:
Answer:
all of the above
Step-by-step explanation:
What’s the value of x ?
Answers
Answer:
x = 13
Step-by-step explanation:
5x + 12x - 41 = 180
17x = 221
x = 13
Help pls!! Find the value of x and EF
Answers
42 = 7x
6= x
EF = 8(6) + 42
EF = 48 + 42
EF = 90
Jillian exercises 4 times a week she runs 2 miles each morning and bikes in the evening if she exercises a total of 28 miles for the week how many miles does she bike each evening
Answers
Answer:
5 miles
Step-by-step explanation:
Total miles Jillian runs in a week = 4 x 2 miles = 8 miles
Total miles she bikes each week = total miles in a week - total miles Jillian runs in a week
28 miles - 8 miles = 20 miles
Miles she bikes in a week =20/4 = 5 miles
The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Answers
Answer: D) the significance level of the test
=======================================================
Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
The height of the equilateral triangle is 3√3 cm.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.
The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.
By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).
However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).
Therefore,
The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.
Now,
The height of an equilateral triangle can be found using the formula:
height = (side length / 2) x √3
The side length = 6 cm
So,
height = (6 / 2) x √3
= 3√3 cm
Therefore,
The height of the equilateral triangle is 3√3 cm.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
#SPJ7
What operation is meant by the following words: quotient, goes into, per?
A. division
B. Multiplication
C. Addition
D. Subtraction
Answers
Answer:
I think A
Step-by-step explanation:
I think a because quotient means division
PLS HELP WITH THIS MATH Equation
Answers
answer: (175+125)÷3
have a nice day
William melts a cube-shaped block of candle wax that is 4 inches on each side. He then pours the wax into cylinder-shaped molds in order to make candies. Each mold has a height of 2.5 inches
Complete the table below to show the maximum number of whole candles that William can make from the block of wax using molds of the given diameters
Answers
9514 1404 393
Answer:
130, 32, 8
Step-by-step explanation:
I find it convenient to use a spreadsheet to do repetitive calculations. The formulas for volume of a candle and number of candles are shown in the attached spreadsheet.
The block of wax has a volume of 4×4×4 = 64 cubic inches. The volumes shown for the candles are in cubic inches, so the number of candles is 64 divided by the candle volume.
CAN SOMEONE PLEASE HELP ME???
Answers
Answer:
the correct answer is number 3.
I'm 10000000000% sure.
the explanation is in the pictures.
Factor completely:
x^2-x^2-3.5(x+y)
Answers
Answer:
− 3.5 ( x + y )
Hope this helps
Step-by-step explanation:
Answer:
− 3.5 ( x + y )
brainest please
Step-by-step explanation:
or answer the question
do you have microsoft account if yes
i can invite you to microsoft reward
i just realy want make friend here