A cone with a radius of 7ft and a height of 12ft is filled with wet sand. you took that sand and built a pyramid with a base of 4ft by 5ft how tall would the resulting pyramid be?
Answers
Answer:
95.36 ft
Step-by-step explanation:
Volume of a Cone\(=\frac{1}{3}\pi r^2 h\)
Radius=7 ft, Height=12 ft
Therefore the volume of sand in the cone
\(=\frac{1}{3}\pi *7^2*12\\=615.7522$ ft^2\)
If the sand was used to build as pyramid with a base of 4ft by 5ft.
Volume of a Pyramid\(=\frac{1}{3}*$Base Area* Height\)
\(615.7522=\frac{1}{3}*(4*5)* Height\\615.7522=\dfrac{20}{3}* Height\\$Multiply both sides by \dfrac{3}{20}\\$Height =615.7522*\dfrac{3}{20}\\\\$Height of the pyramid=95.36 ft\)
Related Questions
REPOST NO LINK SPAM OR REPORT:
A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y ?
y =
Answers
Answer:
6
Step-by-step explanation:
Part A - Independent Clause
Identify the independent clause in each sentence below.
1. We arrived late because we couldn't find the theater.
2. The play started before we found our seats.
3. We got one of the special programs that were being sold.
4. When the play was over, the audience applauded.
5. After we saw the show, we went for a walk.
6. Although the night was cool, the walk was enjoyable.
7. While we were walking, I noticed the moon.
8. Since it was a full moon, it was shining brightly.
9. We walked along the lake until it became very late.
10. By the time I got home, it was almost midnight.
Part B: Dependent (subordinate) Clause
Identify the dependent (subordinate) clause in each sentence below.
1. Japan is a country where some trains travel at very fast speeds.
2. The airplane that we saw can land in only a few airports in this country.
3. Henry Hudson discovered the river that bears his name.
4. When you respect others, you win respect for yourself.
5. Diego found the new job that was perfect for him.
6. Colleen is the one who was elected without a run-off.
7. The coin that I purchased is an old French crown.
8. When I awoke, it was broad daylight.
9. Those who would control others must first control themselves.
10. The camel is the only pack animal that can stand the test of the Sahara.
Part C: Adjective and Adverb Clause
Identify the adjective or adverb phrase.
1. John Paul Jones was a hero whose bravery won many victories.
2. The person who reads the most books will get a prize.
3. He overslept because he hadn't set the alarm.
4. Give a rousing cheer when our team comes off the field.
5. The parrot repeats many things that he hears.
6. The picnic that we planned was cancelled.
Answers
Answer:
independence 1 dependece 2
Step-by-step explanation:
independence u depence others
The histogram shows the number of prizes won by different numbers of students at a sports competition. Which of the following statements is correct regarding the number of students and the number of prizes won? (5 points)
Six students won 4, 5, 6, or 7 prizes.
A total of 9 students won all the prizes.
Six prizes were won by 4, 5, 6, or 7 students.
A total of 9 prizes were won by all the students.
Answers
Answer: A. six students won 4,5,6, or 7 prizes
Step-by-step explanation:
At the bottom of the histogram you see the number of prizes, the 4-7 prizes bar goes up to 6 students.
At the bottom of the histogram you see the number of prizes, the 4-7 prizes bar goes up to 6 students.
Alberto studied the distribution of two sets of data. He found that both sets had the same greatest value and the same center. Alberto says that this does not mean the data distributions are the same. Is he correct? Explain.
Answers
1 2 3 4 10 10 10 17 18 19 20
same center, same max
Yiu can surely come up with many variations where the same conditions hold.
use the net as an aid to compute the surface area of the triangular prism. A: 100 B:150 C:200 D300
Answers
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
find the values of the variables in each diagram
Plzzz help
Answers
Answer:
60
Step-by-step explanation:
these are alternate angles between two parallel lines.
which means that 120=2x
so u can calculate the value of x through this equation.
120=2x
120/2=x=60
If there are two parentheses in a PEMDAS equation and one has multiplication and the other has subtraction, which do I do first?
PLEASE HELP ASAP THIS IS DUE IN 1 HOUR I GIVE BRAINLIEST, FIVE-STAR RATING, A HEART, AND 50 POINTS TO ANYONE WHO CAN HELP ME WITHIN THE NEXT 45 MINUTES!!!
Answers
Answer:
First, simplify the parentheses. Then, do exponents. Next, multiply. Finally, add and subtract from left to right.
Step-by-step explanation:
Answer: You always complete multiplication and division before addition and subtraction, working left to right inside the parentheses first.
For example, if your equation was:
23 + (12 x 5 + 6 -7), then you would first complete the multiplication (12 x 5), then add 6 (+6), then subtract 7 (-7), and lastly add 23 (+23) which is outside the parentheses.
Your example:
40 ➗ 1 + 3 - (3 x 7) + (7 - 5)
First: (3 x 7)
second: (7 - 5)
third 40 / 1
fourth: 40 + 3
fifth: 43 - 21
sixth: 22 + 2
=24
Step-by-step explanation:
You should always follow the order of operations rule that follows a sequence of evaluation steps for a given expression. Remember the order using PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right). Therefore, you first complete work in the parentheses for multiplication & division (working left to right) and then addition and subtraction (working left to right). Then you complete any math (following the same order) outside the parentheses.
Help pleaseee I dont understand this ive tried so many times
Answers
Answer:
B. 5.6
Step-by-step explanation:
Answer:
I think B 5.6
Step-by-step explanation:
help ill give the crown to u if you get it right
Answers
Answer:
2.68
Step-by-step explanation:
2 is to 1.34 as 4 is to x
x=(4*1.34)/2
Answer:2.68
Step-by-step explanation:
Create 5 word problems using the equations provided. Each word problem should have a maximum of 2 to 3 sentences. Solve your word problem. Be sure to provide the equation for the word problems you are creating.
Answers
This is a word problem for 12.
Laura decided to throw a party. The DJ charged 2 dollars an hour and 4 dollars to use lights and fog. How long did the DJ play?
This one is for 11.
Kate wanted to go skating. When she got there it was 4 dollars an hour. The total cost was 12 dollars. How many hours did she skate?
The director of a local ballet company needs to print the programs for the next performance. Janet’s Print Shop charges $0.25 per program plus a $35 set-up fee. The Printing Press charges $0.15 per program plus a $50 set-up fee.
Which printing company offers the better deal if 200 programs are printed?
Answers
Answer:
The Printing Press
Step-by-step explanation:
200 x 0.15 = 30
30 + 50 = £80
200 x 0.25 = 50
50 + 35 = 85
Answer:
or this case we find the expression that represents the cost of each printing press.
x: Be the variable that represents the number of programs to print
So:
Cost 1: Janet’s Print Shop
Cost 2: The Printing Press
If we want to find the number of programs for which the costs are the same, then we equate both equations:
Thus, for 150 programs the cost is the same.
Answer:
For 150 programs the cost is the same.
Step-by-step explanation:
Hope this helps you!!!!!!! :D
Find the measure of the missing angle
Answers
Answer:
78
Step-by-step explanation:
180-102
The missing angle is 72°
How much are you charged if you use 4 therms of gas?
A.) $23
B.) $22
C.) $21
Answers
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
If we put withdraws and deposits in the same column, how can they be represented? (LOOK IN IMAGE)
Answers
Answer:
i dont know ask brainly.
Step-by-step explanation:
Divide: 3/4 divided by 2/5
2 and 1/5
3 and 3/4
2 and 3/5
1 and 7/8
Answers
Answer:
1 and 7/8
Step-by-step explanation:
\(\frac{3}{4}\) ÷ \(\frac{2}{5}\)
When dividing you have to flip the second number. When the fraction/number flips the problem will turn into multiplication.
\(\frac{3}{4}\) × \(\frac{5}{2}\)
Now just multiply them. 3×5 and 4×2
\(\frac{15}{8}\)
Simplify the fraction
\(1\frac{7}{8}\)
I hope this helps!
Pls help me in math, I need this tomorrow, thx :)
Answers
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The coordinate plane shows the positions of different places in a town. Each unit on the graph is equal to 1 block. Match the paths with their distances.
13 blocks
9 blocks
7 blocks
16 blocks
10 blocks
from school to the supermarket
from the park to the supermarket
to the baseball field
from home to the baseball field
from home to the park
to the supermarket
Answers
Answer:
a) 7 blocks
b) 16
c) 10
d) 13
Please show your work.
Answers
A(-3,0) = A’(0,3)
B(-2,4) = B’(4,2)
C(1,-1) = C’(-1,-1)
Subtract 3 from the y-axis
A’(0,3) = A”(0,0)
B’(4,2) = B”(4,-1)
C’(-1,-1) = C”(-1,-4)
The number of eggs in the refrigerator e decreased by 2 equals 16.
Enter an equation to represent the situation.
Answers
Answer:
e - 2 = 16
Step-by-step explanation:
(Rewriting Rational Numbers LC)
Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.
negative three and five tenths repeating is less than negative ten thirds
negative three and five tenths repeating is greater than negative ten thirds
negative ten thirds is equal to negative three and five tenths repeating
negative ten thirds is less than negative three and five tenths repeating
Answers
Answer:
the third answer
Step-by-step explanation:
order the values from least to greatest |-16|, 10, |25|, -16, |-43|
Answers
Answer:
-16, 10, 16, 25, 43
Step-by-step explanation
when you have something in absolute value bars it's always going to be positive so you would make -16 regular 16; and 10 stays 10; 25 stays 25; -16 stays - 16; and then -43 turns into regular 43
Answer:
-16, 10, 16, 25, 43
Step-by-step explanation:
If it has the bars around it and its a negative number it turns into a posotive
help me please ill take anyones help:)
Answers
Answer:
the answer is D. BECAUSE I NEED THE POINTS
Find X in the equation
4x + 1/2 = 1/2x + 4
Answers:
A. x = 1
B. x = −1
C. x = 49/4
D. x = -49/4
Answers
100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Mr. Harris graded papers at the end of the school day. The table below shows how many papers he graded in minutes.
Minutes Number of papers graded
4 2
16 8
20 10
24 12
At this rate, how many papers will Mr. Harris grade in 60 minutes?
30 papers
36 papers
48 papers
52 papers
Answers
in 20, he can grade 10 papers, 20x3 is 60,
10x3 is 30.
hope this helps
Answer:
30
Step-by-step explanation:
it is simply 30
What does this mean "Go from -2
What is this -2
Answers
Help me find the answer to this please!!
Answers
Explanation
When you have a graph, you can find the slope or coefficient next to x, by finding rise over run on the graph or using slope formula.
On the graph, from 0, 0, we go up or rise +6 and go right or run +1. Slope is 6/1 or 6.
Or, you have (0, 0) and (1, 6) as two definite points. Using slope formula
y2 - y1 over x2 - x1
6 - 0 over 1 - 0 = 6/1 or slope of 6.
I'M SORRY WHAT IS THY ANSEWR?
Answers
Because there’s 36 possible solutions between the 2 dice and only one of those could get you a sum of 2. So 1 out of 36 or 1/36.
How is using a model to multiply 0.3 by 0.7 similar to finding the area of a rectangle?
Answers
Answer:
no
Step-by-step explanation: