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.
What’s the opposite of -5/8
There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there
Answer:
pepperoni pizzas = 8
cheese pizzas = 4
Step-by-step explanation:
let x = cheese pizza
2x + x + 1 = 13
3x = 13 -1
3x = 12
x = 4
pepperoni = 2x4 = 8
The average speed of an airplane is 550 miles per hour Create an equation to represent the distance, d, in miles, that the airplane travels after t hours at the average speed.
Answer:
Step-by-step explanation:
1
Answer:
56
Step-by-step explanation:
i just is smart
yhhhhhhhhhhh
Quickly please I only have a few minutes
Answer:
1=4
5=8
2=5
Step-by-step explanation:
Answer:
1, 5, 2 is the x values.
Step-by-step explanation:
you just subtract 3 from the y's
Find the slope of the graph.
Answer:
The slope is -1.3
Step-by-step explanation:
Plug it in stat, but Ill try to explain it. y2-y1/x2-x1
(-3,4)(3,-4)
-4-4/3-(-3) = -1.3
can someone tell me the answer to this
Answer: W=12m
Step-by-step explanation:
Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!
Answer: n=4
Step-by-step explanation:
Given
3n-(2+n)=6
Expand Parenthesis (REMEMBER TO CHANGE SIGNS)
3n-2-n=6
Combine like terms
2n-2=6
Add 2 on both sides
2n-2+2=6+2
2n=8
Divide both sides by 2
2n/2=8/2
n=4
Hope this helps!! :)
Please let me know if you have any questions
Answer:
4
Step-by-step explanation:
4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answer:
c or d sorry if I'm wrong
Step-by-step explanation:
I think it's your d because of the shortest answers and they're the only two that makes sense
Can somebody help me
Answer:
25
Step-by-step explanation:
If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.
Compare each set of rational numbers.
Find the surface area.
24 in.
40 in.
10 in.
26 in.
Answer:
100 i think
Step-by-step explanation:
help please important!!!!^click picture
The area of the carpet is 48x^2y+16xy^2, if the width is 8xy inches, what is the length of the carpet?
Answer:
Step-by-step explanation:
(48x^2)(y) + (16x)(y^2).
This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.
Division rules are explained below.
I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.
48/8 = 6x^2 times y divided by 8xy equals x because x^2/x = x^(2-1), because x=x^1, and so, equals x; The same y^2/y. The other 2 y's and 2 x's cancel.
TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.
Please help.
Is algebra.
Answer:
1 is C
2 is B
3 is C
Step-by-step explanation:
Answer:
give em brainliest because i have no idea
Step-by-step explanation:
Pls help me I don't get it.
Pls indicate steps
I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.
Answer:
x = -3, y = 3
Step-by-step explanation:
multiply the equation 3y - x = 12 by 3:
=> 9y - 3x = 36
now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:
=> 9y - 3x = 36
+) 4y + 3x = 3
______________
13y = 39
=> y = 3
substitute y = 3 into the original equation 3y - x = 12 to solve for x:
3(3) - x = 12
=> -x = 12 - 9
=> -x = 3
=> x = -3
NO LINKS!!! PLEASE!
You score an 86 on the first of two exams. Write and solve an equation to find the score (x) that you need on the second exam to have a mean score of 90.
Answer:
x = 94
Step-by-step explanation:
(86 + x)/2 = 90
86 + x = 180
x = 94
You would like to lease a car worth $61,815 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $44,999. What percentage represents the residual value of your leased car?
Answer:
72.8%
Step-by-step explanation:
Percentage residual value = (residual value / worth of the car) x 100
(44,999 / 61,815) X 100 = 72.8%
PLEASE HELP ME PUT THEM IN ORDER
Answer
picture below of order. Not entirely
Step-by-step explanation:
-4(z + 3) - 4(5 - 4z) solution
Answer:
12z-32
Step-by-step explanation:
-4z-12-20+16z
The median of 8 numbers is 4.5.Given that seven of the numbers are 9,2,3,4,12,13,1 find the eighth number
Answer:
5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
We rerange the number in 1,2,3,4,9,12,13
The median is 4, and a number x between 4 and 9.
We have 4.5 for median, which is the average of 4 and x.
(4 + x) /2 = 4.5
4 + x = 9
x = 5
can somebody help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )
x = [tex]\sqrt{21}[/tex] → B
price marked at R85 with VAT included
Answer: No image? Incomplete question? FREE POINTS!
Step-by-step explanation:
BRAINLIEST PLEASE!
Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.
How many hours did Sarah practice in all?
PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?
Can someone pls help me ASAP I’ll give brainiest
Also show how u got the answer step by step pls
What is the probability that a randomly selected bottle is correctly placed and a Plastic #4 bottle?
A. 1/2
B. 1/3
C. 1/4
D. 1/6
Answer:
1/4
Step-by-step explanation:
A square dance floor has a perimeter of 120 yards.
What is the length of a diagonal of the dance floor?
O 38.3 yd
O 30 yd
O 60 yd
O 42.4 yd
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A would be the answer I would choose
find the area of this polygon
Answer:
answer is 65 in²
hope this helps
A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square
Answer:
[tex]x= 3.5[/tex]
Step-by-step explanation:
Given
[tex]k =1:4[/tex] --- scale factor
See attachment for squares
Required
Find x
The corresponding side of length x on the bigger square is 14.
So, we have:
[tex]k = x : 14[/tex]
Equate both values of k
[tex]x : 14 = 1 : 4[/tex]
Express as fractions
[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]
Solve for x
[tex]x= \frac{1 }{ 4} * 14[/tex]
[tex]x= \frac{14}{4}[/tex]
[tex]x= 3.5[/tex]
