Answer:
The correct answer is;
The replacement cone holds 4·π cubic inches more than the volume of the original cone
Step-by-step explanation:
The given measurements of the cones are;
The radius of the original cone, r₁ = 3 inches
The height of the original cone, h₁ = 4 inches
The radius of the replacement cone, r₂ = 4 inches
The height of the replacement cone, h₂ = 3 inches
The volume of a cone, V = (1/3)·π·r²·h
The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁
∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³
The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂
∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³
The ratio of the volume of the two cones is given as follows;
Volume ratio = V₁/V₂
∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4
The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³
Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
y=4+x
y = x − 4
y = 4 · x
y = x ÷ 4
Answer:
y=4+x
Step-by-step explanation:
Answer: A.) y=4+x
Step-by-step explanation: Took the test :P
What is the value of 2x to the power of 2 when x = 1.5?
15.0
4.45
4.50
450
Answer: 4.50 Look at the picture
Step-by-step explanation: Hope this help :D
I am confused please help. don’t use me for points.
Answer:
1. 17.2
2. 113
Step-by-step explanation:
i REALLY need answers, like if you see this PLEASE answer it
The solid figure is separated along the dotted line into two rectangular prisms.
What are the volumes of the two rectangular prisms?
What is the volume of the solid figure?
Use the drop-down menus to show your answer.
The volume of two rectangular prisms are
(put the answer)
cubic inches and 128 cubic inches. The volume of the solid figure is
(put the answer)
cubic inches.
Answer:
its b easy dubs
Step-by-step explanation:
Anna, Boris, and Clara thought of 1 number each Ana's number increased by 20 is 21 greater than boris's number decreased by 22. Boris's number decreased by 20 is 21 greater than claras number increased by 22. How much less is claras number than annas number?
Answer:
Clara's number is 42 less than Anna's number
Step-by-step explanation:
We can start this problem out by setting our variables up:
A= Anna's number
B= Boris's number
C= Clara's number
so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:
- "Ana's number increased by 20"
A+20
- "boris's number decreased by 22"
B-22
- "21 greater than boris's number decreased by 22."
(B-22)+21
- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."
A+20=(B-22)+21
This is our first important equation here. Let's go with the second part of the problem:
- "Boris's number decreased by 20"
B-20
- "claras number increased by 22"
C+22
- "21 greater than claras number increased by 22"
(C+22)+21
Now the whole thing:
"Boris's number decreased by 20 is 21 greater than claras number increased by 22."
B-20=(C+22)+21
This is our second important equation.
So now we have the following system of equations:
A+20=(B-22)+21
B-20=(C+22)+21
We can now simplify the equations by combining like terms so we get:
Equation 1:
A+20=(B-22)+21
we can get rid of the parenthesis so we get:
A+20=B-22+21
We can subtract a 20 from both sides of the equation so we get:
A=B-22+21-20
We perform the subtractions so we get:
A=B-21
Equation 2:
B-20=(C+22)+21
We get rid of the parenthesis:
B-20=C+22+21
We add a 20 to both sides so we get:
B=C+22+21+20
We can now perform the additions so we get:
B=C+63
And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:
A=C+63-21
We combine like terms to get:
A=C+42
We can subtract 42 from both sides to get:
C=A-42
which reads:
Clara's number is 42 less than Anna's number.
what 2 numbers have a product of -36 and a sum of 9
Answer: -3 and 12
Step-by-step explanation: -3+12=9 and -3(12)=-36
Solve the system by substitution.
1. y= 7x
x − 7y = -48
Screen Shot of answer
source:Mathwa.y
Answer:
x=1
y=7
Explaination:
y=7x---------(1)* *First equation
x-7y=(-48)----(2)* *Second equation
Put (1)* into y on (2)*
x-7(7x)=(-48)
x-49x=(-48)
-48x=(-48)
48=48x
48÷48=x
1=x or x=1--------(3)* *Third equation
Put (3)* into (1)*
y=7(1)
y=7
feel free to ask me
Rosie is building a wheelchair ramp that is 24 feet long and 2 feet high. She needs to install a vertical support piece 16 feet from the end of the ramp. What is the length of the support piece in inches?
Answer:
40ft 480inches
Step-by-step explanation:
please help me figure this out!!
2
Which of the following expressions is equivalent to
V162?
O
27.32
36
27.1/6
.
9
Answer:36
Step-by-step explanation:
I hope this helps and if it does plz if u can buy a thanks and brainlist or what ever it’s called :)
Which shape below is the pre-image. How can you tell?
Answer:
the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!
pls help immediately! this is due in 3 mins :/. (pls don’t give a link, i’ll give brainiest for the correct answer just pls help!)
Answer:
50 i think but i'm not 100 % sure i'm sorry
Step-by-step explanation:
how do you solve this two step equation? 5 -2/3x =3
Answer:
x = 3
Step-by-step explanation:
I will assume you meant 5 - (2/3)x = 3. This simplifies to -(2/3)x = -2, or
(1/3)x = 1, so that x = 3.
2
"2/3x" could be interpreted as --------- which would give us a very different
3x result. Use parentheses to
lessen the chances of
misinterpretation.
Wendy and Connor each deposit 8,300 into accounts that earn 3.5% interest for 25 years Wendy's account earns annual simple interest sand Connor's account earns an annual compound interest who will earn more interest of 25 years and how much interest they will earn
Answer:
Connor will earn more interest because he is getting compound interest.
Step-by-step explanation:
I have to assume in this case that the interest is 3.5% Per year:
Simple Interest = P(r + t)
{P = Principle, r = interest rate, t = time)
Wendy = $8,300 x (3.5% x 25)
Wendy = $7,262.50 (2 d.p)
Wendy = $8,300 + $7,262.50
Wendy = $15,562.50
Compound Interest = [tex]P (1 +r )^{t}[/tex]
{P = Principle, r = interest rate, t = time)
Connor = $8,300 x [tex](1 + 0.035)^{25}[/tex]
Connor = $19,614.93
Wendy's Interest = $15,562.50 - $8,300 = $7,262.50
Connor's interest = $ 19,614.93 - $8,300 = $11,314.93
Connor earned more interest by $4,052.43
___________________________________________________
Hope this helps!
PLEASE MARK AS BRAINLIEST :)
Have a good day :)))))
what is the next 10 numbers of pi?
3.14
Answer:
3.14159265358
Step-by-step explanation:
Answer:
3.141592653589
Step-by-step explanation:
pi = 3.14159265358979323846264338327950288419716939937510...
Answer: 3.141592653589
Please help me please
Answer:
2x+8x+6
Step-by-step explanation:
Leslie rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 11? (5 points)
2 over 36
3 over 36
4 over 36
5 over 36
Answer:
67
Step-by-step explanation:
Answer:
2 over 36
Step-by-step explanation:
The only way to get an 11 is with a 5 and a 6 so the probability of rolling a sum of 11 is:
(2/6)(1/6)=2/36
If the diameter of a penny is 19.05 mm on each penny is 1.52 mm thick, what is the approximate volume of the roll of the roll of pennies? Use 3.14 for pie and round your answer to the nearest tenth.
Answer:433.0mm3
Step-by-step explana
CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW
Answer:
20. [tex]-\frac{y^{12} }{9x^{4} }[/tex]
Step-by-step explanation:
21. [tex]3 x^{2} y^{2}[/tex]
When rolling a die, calculate the probability as a fraction of rolling an even number. The probability is
Answer: 3/6
Step-by-step explanation:
15+n=-9 answer first and u will be the top one .
Answer:
[tex]n=-24[/tex]
Step-by-step explanation:
[tex]15+n=-9[/tex]
Simplify both sides:
[tex]n+15=-9[/tex]
Subtract 15 from both sides:
[tex]n+15-15=-9-15\\n=-24[/tex]
n = -24 is your final answer!
Step-by-step explanation:
15+n=-9
n=-9-15
n=-24
=-24
Evaluate the expression for K=-16,m=-22,and n=-23.k+m+n
Answer:
-16-22-23= -61
Step-by-step explanation:
Hope it was helpful .
Find area of square
Pls help
Answer:
49/64 yd²
Step-by-step explanation:
since where finding a square we do
A = bxh
A = 7/8×7/8
A = 49/64
Find missing side? Soh cah toa
Answer:
x ≈ 14.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.6 ( to 1 dec. place )
-4(y - 2) = 12
solve for y, thanks
Answer:
-1
Step-by-step explanation:
-4(y-2)=12
-4y+8=12
-4y=4
y= -1
the median of a data set is 100 which statement about the data set must be true? A. the data set has an average of 100 B. Half the data values are greater than 100 C.The minimum value is 80 and the maximum value is 120 D. Only one of data points in the data points in the data has a value of 120
Answer:
B
Step-by-step explanation:
The median value is in the middle.
BRAINLIEST
a. 2 root of 5
b. 4
c. 4 root of 5
d. 3
Answer:
4
Step-by-step explanation:
Because the height would be half of the base.
Hope this helps ^-^
Translate 4 units right and 3 units up.
Answer: Hope this helps! Sorry if it looks a little messy. Have an amazing day!
Step-by-step explanation:
B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter