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.
PLEASE HELP WILL GIVE BRAINLIEST!
A dart board contains 20 equal sized sectors numbered 1 to 20. A dart is randomly tossed at the board 10 times. what is the probability that the dart lands in sector 20 exactly 5 times?
Answer:
it 20 chews 5 over 20 chews 10
= 20! / (20-5)! times 5! over 20! / (20-10)! times 10!
=15504/ 184756= .08 or 8%
Step-by-step explanation:
have a good day/night
may i please have a branllliest
sorry if wrong :(
work out the equation for each graph in the form
y=mx+c
please help !
Answer:
Top first one is y=-3x-3.
Step-by-step explanation:
I know you will be able to figure out the rest. I will explain. The problem if I just give you the answers are you won’t be actually able to solve it when you encounter it on like a test or something.
The explanation:
m=rise/run.
c=y intercept/ where it is on the y-axis.
if you go down on the y axis, it would negative. The opposite will be true if you go up.
I also think it is supposed to be y=Mx+b instead of y=Mx+c.
hopefully that made sense.
x+7=15
help me fasttttttt
Answer:
x=8
Step-by-step explanation:
x+7=15
-7 -7
x=8
Mark me Brainliest?
Answer:
Its 8
Step-by-step explanation:
x+7=15
Subtract 7 from both sides.
x=8
Choose the correct phrase for 8n
A 8 plus n
B 8 divided by n
C 8 times n
HELPPPPPPP!!!!!!!!!!!!!!
Answer:
the top and bottom ones
Step-by-step explanation:
Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the election. How many students voted in the election? *
Answer:
400 students voted in the election
Step-by-step explanation:
Given:
Total number of votes received by Priscilla = 240
This was 60% of the students who voted in the election.
To find: Total number of students who voted in the election
Solution:
Total number of votes received by Priscilla = 60% of Total number of students who voted in the election
240 = 60% of Total number of students who voted in the election
240 = [tex]\frac{60}{100}[/tex] × Total number of students who voted in the election
So,
Total number of students who voted in the election [tex]=\frac{240(100)}{60}=400[/tex]
What is the least common denominator of 4 and 6?
Answer:
12
Step-by-step explanation:
From the above-given multiples of 4 and 6 is the multiple 12 is the smallest common multiple. Therefore, LCM. of 4 and 6 is 12.
Plzzz help plzzzzzzzzzzzzzz
Given:
The figure of two quadrilaterals.
In [tex]ABCD,AB=18,BC=20,CD=22,AD=24[/tex]
In [tex]EFGH,EF=27,FG=30,GH=34, EH=36[/tex]
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:
[tex]\dfrac{AB}{EF}=\dfrac{18}{27}[/tex]
[tex]\dfrac{AB}{EF}=\dfrac{2}{3}[/tex]
Similarly,
[tex]\dfrac{BC}{FG}=\dfrac{20}{30}[/tex]
[tex]\dfrac{BC}{FG}=\dfrac{2}{3}[/tex]
[tex]\dfrac{CD}{GH}=\dfrac{22}{34}[/tex]
[tex]\dfrac{CD}{GH}=\dfrac{11}{17}[/tex]
And,
[tex]\dfrac{AD}{EH}=\dfrac{24}{36}[/tex]
[tex]\dfrac{AD}{EH}=\dfrac{2}{3}[/tex]
Clearly, [tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}[/tex].
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.
Convert.
32 ft =
yd
ft Helpp
Answer:
10.667 yards
Step-by-step explanation:
Can someone help me with this please
Step-by-step explanation u just have to add them all the same ok
The degree of the problem
Answer: A. 5
Step-by-step explanation:
what is the answer of 2m^2 * 2m^3
Answer:
4m^5
Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation:
5. Write 2/3 and 3/4 as equivalent fractions using a common denominator.
Answer:
8/12, 9/12
Step-by-step explanation:
2/3 = 8/12
3/4 = 9/12
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Answer: 0.09
Step-by-step explanation:
;)
A shirt costs $20. A pair of pants costs 30% more than the shirts. How much do the pants cost?
Answer:the pants are 26 dollars
Step-by-step explanation:
20.00+30%= 26.00
30%=6.00
The polygons are similar. Find the value of x
A number "X" greater than 8
Answer:
X > 8
Step-by-step explanation:
Using the keywords greater than helps you.
A NASA test rocket is launched from the top of a 101 foot cliff with an initial
velocity of 116 feet per second. The function h(t) = -16t2 +116t + 101 gives the
height, h(t), in feet of the rocket t seconds after it's launched.
How long does it take for the rocket to reach the ground?
Answer:
4.018secs
Step-by-step explanation:
Given the height reached by the test rocket by the expression
h(t) = -16t^2 +116t + 101 gives the
The rocket will reach the ground when h(t) = 0
Substitute h(t) = 0 into the expression
0 = -16t^2 +116t + 101
Multiply through by -1
16t^2 -116t - 101 = 0
Factorize using the general formula
t = 116±√(116)²-4(16)(-101)/4(16)
t = 116±√(13,456+6,464)/64
t = 116±√(19,920)/64
t = 116±141.138/64
t = 116+141.138/64
t = 257.138/64
t = 4.018secs
Hence it will take the rocket 4.018secs to reach the ground
GIVING 11 POINTS AWAY PLEASE HELP ME ASAP!!!! PLEASE DONT GUESS CAUSE THIS IS A TEST QUESTION
Answer: it’s B I’m positive
Step-by-step explanation:
I need help finding the slope
Answer:
0.75
Step-by-step explanation:
-3-1.5/-4-2
-4.5/-4-2
-4.5/-6
0.75
I don’t like to beg but I guess I’m in need..
Answer:
-4 < n ≤ 5
Step-by-step explanation:
Since the left inequality is an open circle and going to the right, the sign will be >
Since the right inequality sign is a closed circle and is going left, the sign would be ≤
The open circle ends at -4 so, n > -4
The closed circle ends at 5 so, n ≤ 5
You combine them and it looks like this:
-4 < n ≤ 5
PLEASE HELP I AM BEGGING YOU!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS PLEASEEEEEEEEEEEEEEEEEE!!!!!!!
Answer:
1. 31
2. -40
3. 28.5
4. 75
5. 6
6. -24
7. -34
8. 68
9. 8
10. 26
Step-by-step explanation:
I tried to do the best I can I hope this helps! :))
IM SO TIRED CAN SUM1 HELP PLS.
Answer:
a. $250
b. 50x + 200
Step-by-step explanation:
a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.
b. the 200 is only a one time fee so you add it on to months(x)
Answer:
a. 250$
b. 200+50x
Step-by-step explanation:
#1 What is the total cost to use the cell phone plan for one month?
GIVEN:
Startup price=$200
Charge per month=50$
SOLVE:
The total cost for one month will be the startup price+ charging price for one month.
200+50=250$
#2 What is the total cost for x months?
The total cost for x months will be the startup price+charging price for x months.
200+50x
Hope this helps!! :)
Please let me know if you have any questions
The lenths of the 2 legs of right triangle abc show below are given in inches. The midpoint of ab is how many inches from A ?
Answer:
Option B
Step-by-step explanation:
The complete question is attached
As we can see in the image , ABC is a right angle triangle
Thus as per Pythagorean theorem, to find line AB
AB2 = 322 + 242
AB2 = 1024 + 576
AB2 = 1600
Taking square root of both the sides, we get –
AB = √1600
AB = 40
The mid point of AB = AB/2 = 40/2 = 20
answer this question for 50 points
Answer:
It should be b
Step-by-step explanation:
Solve the following quadratic equations using factoring.
b. x2 + 3x = 70
We can easily silve it by splitting the middle term or by using the discriminate method *
* splittingx 2 +3x -70
x2 + 10x - 7x -70
x(x + 10) -7(x +10)
(x / 7) ( x + 10)
x = 7 or -10
I need help on this ASAP
75cm²
Explanation:
10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.
Answer:
75cm²
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.
To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.
Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.
A = √[s(s-a)(s-b)(s-c)]
= √[8(21. 5-10)(21.5 -15)(21. 5-18)]
= √[21.5 × 11.5 × 6.5 × 3.5]
= √(5625)
≈ 7.5
hellohello, this needs to be turned in tomorrow so if you could help, i would really appreciate it. :]
Answer and Step-by-step explanation:
We are given the side lengths, so all we have to do is multiply each rectangle's lengths and widths to get their areas, then add them together,
Top rectangle Area:
4 × 7 = 28
Bottom rectangle Area:
6 × 8 = 48
Now, we add them together.
Total Area:
28 + 48 = 76
The total area of the figure is 76 [tex]units^{2}[/tex].
#teamtrees #PAW (Plant And Water)
how to solve this? Is the question correct? ty :)
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given
2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex] [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]
3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division
6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex] [tex](x^{-1})^{-1}[/tex]
7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex] Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property
10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result
What kind of event is this: You draw a marble from a bag, keep it, then draw another
Independent
or
Dependent
Answer:
I believe independent
Step-by-step explanation:
I’m not quite sure what your asking r u asking like dependent and independent variable?
if I’m correc may I have brainliest plz I need 4 more to rank up thanks!