Answers
Answer:
a) 16[tex]\pi[/tex]
b) Using [tex]\pi[/tex] is more accurate because it represents the exact and full value of pi, rather than an estimation or approximation like 3.14.
Step-by-step explanation:
The formula to find the volume of a cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]. We know the radius is 6, so all we need to find is the height, h. By using the Pythagorean theorem, we can see that the height is [tex]10^{2} - 6^{2} = \sqrt{64}[/tex], or 8. Plugging in all the values into the formula gives us:
V = [tex]\frac{1}{3} \pi (6)(8)[/tex]
V = 16[tex]\pi[/tex]
Hope this helped! :)
Related Questions
Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answers
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius . What is the slope-intercept form of the equation of ? Show your work.
Answers
Corrected Question
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer:
y=0.62x+2
Step-by-step explanation:
In the attached circle drawn using Geogebra
Center is at point A(0,2)Point B on the circumference has coordinates (1.7,3.05)Radius of the circle=2 UnitsGradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]
[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]
Line AB intercepts the y-axis at y=2, therefore: b=2
The slope-intercept form of the line AB (in this case) is therefore:
y=0.62x+2
For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.
You can try one of your own!!
Given the domain {-2,1,5} what is the range for relation 4x+y=3
Answers
Answer:
(-2,11) (1,-1) (5,-17)
Step-by-step explanation:
the range of this relation is 11,-1,-17
Why is the perimeter of the parallelogram?
Answers
Answer:
the perimeter is 32 squares
Step-by-step explanation:
Solve the following inequality for p. Write your answer in simplest form.
6p+5≤-2p-5
Answers
Answer:
p≤-5/4
Step-by-step explanation:
Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign
6p+2p+5≤-5
Collect like terms
8p≤-5-5
8p≤-10
Divide both sides of the inequality by 8
p≤-5/4
x
[tex] {x}^{2} - 12x + 36 = 0[/tex]
Answers
This is my second time asking pls i need help seriously
Answers
I hope this helps.
Given DOG, find DG.
Round your answer to the nearest hundredth.
Answers
Answer:
DG = 31.75
Step-by-step explanation:
The question is incomplete; however, I'll answer your question using attached image.
From the attachment,
<G = 72° and DO = 8.2
Required
DG?
To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.
DG represents the hypothenus of the triangle;
DO represents the opposite of the triangle;
The two sides are bound by the sine function.
i.e.
Sin72° = DO/DG
Sin72° = 8.2/DG
Multiply both sides by DG
DG * Sin72 = 8.2/DG * DG
DG * Sin72 = 8.2
Sin72 = 0.2538
So, DG * Sin72 = 8.2 becomes
DG * 0.2538 = 8.2
Divide both sides by 0.2583
DG * 0.2583/0.2583 = 8.2/0.2583
DG = 8.2/0.2583
DG = 31.746031746
DG = 31.75 --- Approximated
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answers
Answer:(x+9)(x+3)
(I dont think it matters when it’s switched)
Hope I helped
Step-by-step explanation:
The middle number is 12 and the last number is 27.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 12
Multiply together to get 27
Can you think of the two numbers?
Try 3 and 9:
3+9 = 12
3*9 = 27
Fill in the blanks in
(x+_)(x+_)
with 3 and 9 to get...
(X+3)(x+9)
(x+3)(x+9)
A) y=1.1x+23
B) y=1.25x+20
C) y=1.25+40.67
D)y+1.4+40.67
Answers
Answer:
I believe C is the correct answer because the graph starts above 40 on y axis and D is incorrect because of the y + not y=
conner has a bag of coloured tiles. there are 1 green, 3 black, 5 blue and 6 red. he reaches into the bag and chooses 1 tile without looking. what is the probibility that the tile is not red?
Answers
Answer:
Um, i'm not the best but I'm trying my best, but I think it is 66%
Step-by-step explanation:
Hope this helps
Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?
Answers
Answer:
3
Step-by-step explanation:
From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:
60*5%= 3
According to this, Hunter answered correctly 3 problems on the final exam.
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet
Answers
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometryCircumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]
where d is the diameter and r is the radius.
ApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given that we are riding a Ferris wheel and have traveled 157 feet.
Step 2: SolveLet's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:
[Circumference Formula] Substitute in known variables (take π ≈ 3.14):[tex]\displaystyle\begin{aligned}157 & = 2(3.14) r\end{aligned}[/tex]Divide both sides by 2(3.14) [Division Property of Equality]:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\\end{aligned}[/tex]Rewrite the result:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\\end{aligned}[/tex]Simplify:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\r & = \boxed{ 25 }\end{aligned}[/tex]
∴ the radius of the Ferris wheel is equal to 25 feet.
Answer*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274
The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.
___
Learn more about circles: https://brainly.com/question/15306477
Learn more about Geometry: https://brainly.com/question/23669892
___
Topic: Geometry
Unit: Circles
Answer:
50 feet
Step-by-step explanation:
trust
The family size bottle of shampoo holds 10 fluid ounces (fl. oz.) of sunscreen. The regular bottle holds 70% percent less. How many fluid ounces does the regular bottle of shampoo hold?
Answers
Answer: 3 fluid ounces
Step-by-step explanation:
The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.
To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces
= 7/10 × 10
= 7 fluid ounces.
Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:
= 10 ounces - 7 ounces
= 3 ounces.
The regular bottle of shampoo holds 3 fluid ounces.
3x^2 - 4x + 9x - x^2
Answers
Answer:
2x^2 +5x
Step-by-step explanation:
3x^2 - 4x + 9x - x^2
Combine like terms
3x^2 -x^2 -4x+9x
2x^2 +5x
Answer:
Just combine like terms:
2x^2+5x
Derek is planning on covering an entire drum in leather. The diameter of the drum is 10 inches, and the height of the drum is 16 inches. What is the minimum amount of leather that Derek will need to cover the drum?
Answers
Answer: 694.4 in^2
Step-by-step explanation:
We have a cylinder with:
diameter = d = 10 inches
heigth = h = 16 inches.
The total surface of a cylinder is equal to:
S = h*2*pi*(d/2) + 2*pi*(d/2)^2
we can replace the numbers and get:
S = 16*2*3.14*(10/2) + 2*3.14*(10/2)^2 = 659.4 inches squared
the formula for area of a circle is a = πr2. the radius r of the circle may be expressed as
Answers
Answer:
The formula to find a circle's area π (radius)2 usually expressed as π⋅r2 where r is the radius of a circle. The area of a circle is all the space inside a circle's circumference.
Step-by-step explanation:
PLEASE HELP ASAP!!!! I’ll make you brainliest!!!
I need help with number 7!
Answers
Answer:
3/6
Step-by-step explanation:
7/14
Divide the top and bottom by 7
1/2
We are looking for something that equals 1/2
3/6
Divide the top and bottom by 3
1/2
Answer:
D: 3/6
Step-by-step explanation:
If you simplify 7/14 it becomes 1/2
and if you look at the choices 3/6 is the only number that is equal to 1/2
Which of the pairs of angles are vertical angles and
thus congruent?
Answers
Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.
Step-by-step explanation:
Answer:
A+G
Step-by-step explanation:
:D
Tara and her parents want to save at least $40,000 for college in 8 years. Which statement describes the most effective savings plan for Tara and her parents to meet their goal?
Answers
Answer:
the answer is b
Step-by-step explanation:
Answer:
B on edgen 2020
Step-by-step explanation:
Mary had 45 blue ribbons for every 15 yellow ribbons. If she bought 30 yellow ribbons how many blue ribbons will she need?
Answers
Answer:
90 blue ribbons
Step-by-step explanation:
The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?
Answers
Answer:
ethanol
Step-by-step explanation:
The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.
The enthalpy of combustion of the unknown compound is
ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol
To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,
e% = ( | ΔHx - ΔH | / ΔHx ) x 100%
where ΔHx is the enthalpy of combustion of the probable compound.
The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol
Compound Enthalpy of combustion (kJ/mol) Deviation
Methane - 890.7 43.8%
Ehylene -1411.2 9.3%
Ethanol -1368.6 6.5%
According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.
Read more on Brainly.com - https://brainly.com/question/12081414#readmore
Answer: ethanol
Step-by-step explanation:
Got it right on edge
Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robins age. How old is Gwen?
Answers
Answer:
35
Step-by-step explanation:
11 × 3 = 33
+ 2 = 35
Robin is 11 (11)
Gwen is 2 years (+2) more than 3 times (×3) Robins age
Answer:
35.
Step-by-step explanation:
Hello there!
Solve the given equation to find Gwen's age:
3(11)+2
33+2
35
:)
Easy math triangle question , please help picture attached
Answers
Answer:
x = [tex]\sqrt{120}[/tex] ≈ 10.95
Step-by-step explanation:
Use Pythagorean Theorem a²+b²=c²
6²-4²=a²
36-16=a²
a²=20
a=[tex]\sqrt{20}[/tex]
[tex]\sqrt{20[/tex]²+10²=c²
20+100=c²
c²=120
c= [tex]\sqrt{120}[/tex] ≈ 10.95
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
5/24
1/6
1/4
5/12
Answers
Answer:
Step-by-step explanation:
jan
m
m
jun
july
5/12
Probability month starts with the letter J or M is 5/12
Probability based problem:Computation:
Number of total month = 12
Number of month starts with the letter J or M = 5
Probability = Number of desired output ÷ Number of total output
Probability month starts with the letter J or M is = 5 / 12
So, Option 'D' is the correct answer to the following question.
Find out more information about 'Probability'.
https://brainly.com/question/795909?referrer=searchResults
Which equation could be used to calculate the sum of the geometric series?
One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction
Answers
Answer:
A
Step-by-step explanation:
edge 2020
Answer:
its A
Step-by-step explanation:
Plz Help my brother with this equation!
Answers
Answer:
I think the answer is 2 bc 5 times 4 is 20 and 10 can go into 20 2 times.
Step-by-step explanation:
Positive ÷ positive = ?
Answers
Answer:
positive
Step-by-step explanation:
find angle C! please and thankyou
Answers
Answer: it's around 40
Step-by-step explanation:
I have been stuck on this for a while
Answers
Answer:
Actually the answer would be 120.
4.16×48=200
3/5×200=120.
120 people out of five play.
