1. Use the figures below to solve each problem.
a. What is the volume of the cone, in cubic feet?
r4fts
13
h = 3.ft
16
b. What is the ratio of the cone's volume to the cylinder's volume?
Answers
9514 1404 393
Answer:
a. 50.27 ft³
b. 1/3
Step-by-step explanation:
a. The volume of the cone is given by the formula ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = (1/3)π(4 ft)²(3 ft) = 16π ft³ ≈ 50.27 ft³
__
b. Recognizing that the cylinder's volume is given by the formula ...
V = πr²h
and that the radius and height are the same for both, the ratio of volumes is ...
(cone volume)/(cylinder volume) = (1/3πr²h)/(πr²h) = 1/3
The ratio of volumes is 1/3.
Related Questions
please help me thank you
Answers
Answer:
B.
Step-by-step explanation:
The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is
3/5 x 1/2 = 3/10
3/10 < 1/2
Therefore, 3/5 is less than 1/2!
Find sin X.
1.sinX=4/5
2.sinX=5/4
3.sinX=3/5
4.sinX=3/4
Answers
Sinx=yz/xy=36/45=4/5 (divided by 9)
Please answer now
#3
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price of the book?
Part B
A customer buys a different book that has an original selling price of $38. The book is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount the customer pays for the discounted book?
Enter your answer in the box.
1
2
3
.
5
6
s
7
8
0
Answers
Step-by-step explanation:
too long
Answer:
do you have a ilnk i cant understand
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST PLSSS
Answers
2. 40
3. 42
I hope this helps ! I’m so sorry if any of them are incorrect
I need help I'll give brainliest
Answers
Answer:
It's a Right angled triangle
Pls help die in 10 mins
Answers
Answer:
Area of sector of a circle = 28.26 meter²
Step-by-step explanation:
Given:
Side of cube = 12 meter
One white section = sector of a circle
Find:
Area of one white section
Computation:
Radius of circle = Side of cube / 2
Radius of circle = 12 / 2
Radius of circle = 6 meter
One white section = sector of a circle
Area of sector of a circle = [θ/360][π][r]²
Area of sector of a circle = [90/360][22/7][6]²
Area of sector of a circle = [0.25][3.14][36]
Area of sector of a circle = 28.26 meter²
At the end of the bike ride everyone drank a 16 FLU ID ounce bottle of sports drink. If 12 kids and two adults or on the bike ride, how many quarters of sports drink did the riders drink?
Answers
Answer:
7 quarts
Step-by-step explanation:
16 fl oz = 2 cups. 14 people went on the ride which means there were 28 cups drinken in all. 28/4 = 7
The question is in the screen shot pls help
Answers
The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in Hays County were selected in 2014. The average square footage was 2,031 with a standard deviation of 373 square feet. Does this sample provide enough evidence to conclude that the average house size has increased in the Hays County since 2010? Test at an alpha level of 0.05. Find the test statistic.
Answers
Answer:
The test statistic is z = 2.7.
The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.
Step-by-step explanation:
The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?
This means that the null hypothesis is:
[tex]H_0: \mu = 1872[/tex]
And the alternate hypothesis is:
[tex]H_a: \mu > 1872[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
1872 is tested at the null hypothesis:
This means that [tex]\mu = 1872[/tex]
Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.
This means that [tex]n = 40, X = 2031, \sigma = 373[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}[/tex]
[tex]z = 2.7[/tex]
Pvalue and decision:
The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.
Looking at the z-table, z = 2.7 has a pvalue of 0.9965
1 - 0.9965 = 0.0035
The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.
If 536-1-56-3, what is the value of b?
-2
-1
O O O O
NE
Answers
Can you help me with this please???
Answers
Answer:
C
Step-by-step explanation:
divide 14 by 4 to solve it, you get 3.5 or 3 1/2
A car can go 30 miles on one gallon of gas. About how many gallons of
gas will be used to go 200 kilometers? (Note: 1 mile is approximately 1.6
kilometers) *
a. 125
b. 5
c. 4
d. 19
^^i forgot the answers!!!
Answers
Answer:
4
Step-by-step explanation:
First divide 200 by 1.6 which will give you 125
Then divide 125 by 30 which will give you 4
A recipe calls for 2 1/4 cups of milk. You want to make 2 batches of the recipe. Should you buy a pint, quart, or half gallon of milk?
Answers
how many hours are from 2:30pm to 11:00pm?
Answers
Answer:
10 hours and 30 minutes.
Step-by-step explanation:
Hope it helps
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!
Answers
Answer: (40x)+500
Step-by-step explanation:
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
[tex]\frac{14x^{4}y^{6} }{7x^{8}y^{2} }[/tex]
A.
[tex]\frac{2y^{4} }{x^{4} }[/tex]
B.
[tex]\frac{7y^{3} }{x^{2} }[/tex]
C.
[tex]7x^{4} y^{4}[/tex]
D.
[tex]2x^{2} y^{3}[/tex]
Answers
Answer:
Step-by-step explanation:
Answer is A i ran it through my phone
What is the answer pls it’s for a grade
Answers
Answer:
Skewed right
Step-by-step explanation:
Answer:
Skew right... Glad to help
225 is what percent on 75 solved in an equation
Answers
Answer:
300%
Step-by-step explanation:
[tex]\frac{225}{75} = \frac{y}{100}[/tex]
225 × 100 = 75 × y
22500 = 75y
75y ÷ 75 = 22500 ÷ 75
y = 300
300%
Here is a formula for most percent problems.
At the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical. Determine the empirical probability that the next person entering the store favors
(a) rock music.
(b) country music.
(c) something other then rock, country, or classical music.
Answers
Answer:
A) 20%.
B) 26.66%.
C) 40%.
Step-by-step explanation:
Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:
A)
60 = 100
12 = X
12 x 100/60 = X
1200/60 = X
20 = X
Therefore, the probability that the next person favors rock music is 20%.
B)
60 = 100
16 = X
16 x 100/60 = X
1600/60 = X
26.66 = X
Therefore, the probability that the next person favors country music is 26.66%.
C)
60 = 100
24 = X
24 x 100 / 60 = X
2400 / 60 = X
40 = X
Therefore, the probability that the next person favors another type of music is 40%.
Triangle A’B’C’ is a dilation image of triangle ABC. Which is the correct description of the dilation?
A. Center C and scale factor 4
B. Center A and scale factor 4
C. Center A and scale factor 5
D. Center C and scale factor 5
Answers
Answer:
B.
Step-by-step explanation:
Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.
The volume of the pyramid is 8in3. What is the height of the pyramid? (Sides are 5in and 4in)
Answers
Answer:
h = 0.4 inches
Step-by-step explanation:
Given that,
The volume of the pyramid is 8 in³.
The sides of the pyramid are 5 in and 4 in.
We need to find the height of the pyramid.
The formula for the volume of pyramid is given by :
V = lbh
Where h is the height of the pyramid
So,
[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{8}{5\times 4}\\\\h=0.4\ in[/tex]
So, the height of the pyramid is 0.4 inches.
helllllllppppp plzzz
Answers
Answer:
Answer D) B, C, and D
Step-by-step explanation:
Point D is 2 and point B is -2, meaning they are opposites of each other. Point C is 0, which is it's own opposite
7. Falls Canyon has an area of 1458 square miles. If the population density of deer is 50 deer per square mile, what is the total population of deer, rounded to the nearest thousand?
70,000
10,000
73,000
7,000
Answers
Answer:
73,000
Step-by-step explanation:
1458*50=72000
Answer:
73,000
Step-by-step explanation:
482 – 412 + 286 - 12 x 204solve
Answers
Answer:
70,176
Step-by-step explanation:
Given that
482 - 412 + 286 - 12 × 204
We need to solve the above equation
= 482 - 412 + 286 - 12 × 204
= 70 + 286 - 12 × 204
= 356 - 12 × 204
= 344 × 204
= 70,176
Hence, the answer to the given equation is 70,176
The same is to be considered and relevant
In ΔRST, r = 59 cm, s = 10 cm and t=68 cm. Find the area of ΔRST to the nearest 10th of a square centimeter.
Answers
Answer:
Area≈137.965≈138
Step-by-step explanation:
How can you write the fraction 4/10 as an equivalent fraction over 100
Answers
Answer:
40/100
Step-by-step explanation:
4/10 can be made into an equivalent fraction by multiplying each number by 10. This is because we need to change the denominator into 100 and 10x10=100.
10(4/10)=40/100
40/100 is the answer
Hope this helps!
In a class othe ratio of the number of boys to the number of girls is 5:6.if there are 20 boys in the xlass, how any pupils are in the class
Answers
5:6 is equal to the proportion 20:24. You know that the number of boys is 20, which is 4 times the ratio of boys, so you multiply 6 by 4 to get 24.
Let the number of girls be x.
According to the question,
[tex] \implies \: \dfrac{5}{6} = \dfrac{20}{x} [/tex]
[tex] \implies \: 5x = 20 \times 6[/tex]
[tex] \implies \: 5x = 120[/tex]
[tex] \implies \: x = \cancel\dfrac{120}{5} [/tex]
[tex] \implies \: x = 24[/tex]
[tex] \cal \therefore \: Number \: of \: girls \: are \: 24.[/tex]
Now,
Pupils in the class = Boys + Girls
[tex] \rightarrow20 + 24[/tex]
[tex] \rightarrow44[/tex]
Total number of pupils are 44 .
The table below shows some values that satisfy a linear function.
Х
Y
-5
0
-3
3
-1
6
1
9
3
12
What is the slope of the line that is represented by the values in the table above?
w
Answers
Answer:
3/2
Step-by-step explanation:
Truthfully, you only need two points for a linear equation, so I will only use two.
(-5, 0)
(-3, 3)
I will use the skeleton method to find the slope
((0) - (3))/((-5) - (-3)) -> -3/-2
The slope is 3/2
A class has 10 students with ages 3 3 3 3 3 4 4 4 4 5. If a student is chosen randomly, the probability of the student being age 3 is 5/10 or 0.5, age 4 is 4/10 or 0.4, and age 5 is 1/10 or 0.1. What is the expected age of a randomly chosen student?
Answers
Answer:
3.
Step-by-step explanation:
because they have more change to be pick wife they have more higher percentage of the class
Jill and Alice each sold 40 pieces of
fruit. If 15% of Jill's sales were apples,
and Alice sold 5 apples, who sold more
apples? How many more?
Show work to find
Jill's apples!
Answers
.15x40=6